Profiles of staff participating in Projects A and B
Project A | Project B | ||||
---|---|---|---|---|---|
Staff function | Degree | Experience (years) | Staff function | Degree | Experience (years) |
Project manager | PhD | 19 | Project manager | MSc | 12 |
Production manager | BSc | 21 | Production manager | BSc | 30 |
Production manager | MSc | 12 | Production engineer | BSc | 15 |
Production manager | BSc | 18 | Production engineer | BSc | 12 |
Logistics developer | MSc | 24 | Logistics developer | MSc | 6 |
Production engineer | BSc | 14 | Production engineer | BSc | 15 |
Production engineer | BSc | 7 | Production engineer | MSc | 6 |
Production engineer | BSc | 8 | Production engineer | MSc | 7 |
Production engineer | MSc | 16 | Production engineer | BSc | 8 |
Production engineer | BSc | 15 | Production engineer | BSc | 5 |
Production engineer | BSc | 6 | Production engineer | MSc | 16 |
Research and development | PhD | 8 | Research and development | PhD | 8 |
Research and development | PhD | 3 | Consultant | MSc | 9 |
Consultant | MSc | 8 |
Details of data collection for Projects A and B
Data | Description | Project A | Project B |
---|---|---|---|
Field notes | Full-day workshops including project vision and critical issues | 4 | 4 |
Full-day workshops including discrete event simulation models | 4 | 2 | |
Full-day workshops including on-site testing | 4 | 4 | |
One hour meetings reporting on development of projects | 60 | 40 | |
Interviews | Project manager | 1 (73 min) | 1 (76 min) |
Production engineering manager | 1 (50 min) | 1 (60 min) | |
Production engineer | 1 (61 min) | 1 (40 min) | |
Logistics developer | 1 (50 min) | 1 (60 min) | |
Consultants | 1 (38 min) | 1 (59 min) | |
Company documents | Presentations and minutes | x | x |
Discrete event simulation models reports | x | x | |
Reports detailing activities during production systems design | x | x |
Characteristics of intuitive and normative decision-making approaches
Decision making | Characteristic | Reference |
---|---|---|
Intuitive | Making non-conscious decisions | |
Rapidly making decisions when compared to normative decision making | ||
Recognizing cues based on long-term memory leading to an action | ||
Mentally simulating the result of a decision before acting | ||
Making a holistic association of information to reach a decision | ||
Relying on hunches, gut feelings or emotions | ||
Normative | Collecting relevant information | |
Formal and systematic analysis | ||
Focusing on the comprehensiveness of a decision based on information | (1998) | |
Decision-making following a step-by-step process | ||
Choices based on rules and cause-effect relationships | (2009) | |
Commitment of staff time and resources to make a decision |
Description of salient decisions, equivocality, analyzability and decision making in Project A
Decisions | Information | Equivocality | Analyzability | Decision making |
---|---|---|---|---|
Producing a limited number of products | Financial indicators, demand, product characteristics and experience | HE | LA | Intuitive |
Establishing rules and procedures for grouping products | Product functionality, physical dimensions and experience | LE | LA | Intuitive |
Selecting one group of products including three product families | Quantitative analysis, financial indicators, forecasted demand and experience | LE | HA | Intuitive and normative |
Prioritizing the reduction of variation in production process | Experience, discussions and mental simulations | HE | LA | Intuitive |
Defining modular assembly concept across product families | Product demand, bills of materials and processes, and experience | HE | LA | Intuitive |
Establishing rules and procedures for modular assembly | Product demand, bills of materials and processes and experience | LE | LA | Intuitive |
Identifying 16 vehicle modules for three product families | Product demand, bills of materials and processes, and experience | LE | HA | Intuitive and normative |
Analyzing fit between current product design and vehicle modules | Bills of processes and materials, experience, and simulation | LE | HA | Normative |
Specifying vehicle modules for each product family | Bills of processes and materials, and experience | LE | LA | Intuitive and normative |
Proposing a common assembly sequence for multi-product production system | Bills of processes and materials, and experience | HE | LA | Intuitive |
Analyzing differences between existing and common assembly sequence | Bills of processes and materials, and experience | LE | LA | Intuitive and normative |
Specifying common assembly sequence | Bills of processes and materials, and experience | LE | LA | Intuitive and normative |
Identifying problems and improving production process | Bills of processes and materials, experience, simulation, prototyping, line balancing and production databases | LE | HA | Intuitive and normative |
Setting objective of reducing assembly area | Experience, discussions, mental simulations and managerial reports | LE | HA | Intuitive and normative |
Identifying needs of multi-product production system | Experience, discussions, mental simulations and prior activities | HE | LA | Intuitive |
Evaluating current layout in relation to future needs | Dimensions, production process, material flow, simulation and forecasted demand | LE | HA | Normative |
Selecting one layout based on five alternatives | Dimensions, production process, material flow, forecasted demand and simulation | LE | HA | Intuitive and normative |
Setting objectives for standardizing tools for production process | Experience, discussions and prior activities | HE | LA | Intuitive |
Mapping current equipment and tools | Bills of processes, work instructions, experience and site visits | LE | HA | Normative |
Specifying tools and equipment for multi-product production system | Bills of processes, work instructions, experience and prior activities | LE | LA | Intuitive and normative |
Identifying logistics needs for multi-product production system | Experience, discussions and mental simulations | E | LA | Intuitive |
Specifying logistics requirements for multi-product production system | Forecasted demand, assembly sequence, parts, routes, warehousing and on-site analysis | LE | LA | Intuitive and normative |
Evaluating current logistics capabilities in relation to future needs | Forecasted demand, assembly sequence, parts, routes, warehousing and on-site analysis | LE | HA | Normative |
Proposing logistics solutions for multi-product production system | Forecasted demand, assembly sequence, parts, routes, warehousing, on-site analysis and prototyping logistics solution | E | HA | Intuitive and normative |
Agreeing on need for improving competence of operative staff | Experience, discussions and expert input | LE | HA | Intuitive |
Determining critical issues for improving staff competence | Experience, discussions, expert input, prior activities, forecasted demand, line balancing, time studies and material flow | LE | HA | Intuitive |
Specifying policies for staffing, organizational strategies and training | Experience, discussions, expert input, prior activities, forecasted demand, line balancing, time studies, material flow and simulation | LE | HA | Intuitive and normative |
Agreeing on performance indicators for multi-product production system | Experience, discussions, expert input and operational reports | HE | LA | Intuitive |
Establishing rules and procedures for performance indicators | Experience, discussions, expert input and operational reports | LE | LA | Intuitive |
Comparing current production system to a multi-product system | Prior activities, forecasted demand, material flow, simulation and expert and management input | LE | HA | Intuitive and normative |
Determining advantages and trade-offs of multi-product production system | Prior activities, forecasted demand, material flow, simulation and expert and management input | E | HA | Intuitive and normative |
Decisions | Information | Equivocality | Analyzability | Decision making |
---|---|---|---|---|
Producing all product families and acquiring information | Bills of materials and processes | HE | LA | Intuitive |
Limiting products to needs of Latin American site | Forecasted demand, bills of materials and processes, experience | LE | HA | Intuitive and normative |
Prioritizing modular production process | Experience, discussions, gut feeling | HE | LA | Intuitive |
Agreeing on definition of a powertrain across product families | Experience, discussions, bills of materials and processes | HE | LA | Intuitive |
Establishing rules and procedures for mapping powertrain components | Experience, discussions, bills of materials and processes | HE | LA | Intuitive |
Mapping powertrain components | Bills of materials and processes, experience | LE | HA | Normative |
Determining need for modular assembly of powertrains | Product demand, bills of materials and processes, experience | HE | LA | Intuitive |
Identifying powertrain modules | Bills of material and processes, experience, prior activities | LE | HA | Intuitive and normative |
Analyzing fit between current product design and powertrain modules | Bills of processes and materials, experience, spread sheet calculations | LE | HA | Normative |
Identifying need for common assembly sequence | Experience, discussions, gut feeling, bills of materials and processes | HE | LA | Intuitive |
Establishing rules and procedures for modular assembly | Experience, discussions, gut feeling, bills of materials and processes | HE | LA | Intuitive |
Proposing a common assembly sequence for multi-product production system | Experience, discussions, gut feeling, bills of materials and processes | HE | LA | Intuitive |
Analyzing differences between existing and common assembly sequence | Experience, discussions, gut feeling, bills of materials and processes | LE | LA | Intuitive and normative |
Specifying common assembly sequence | Bills of processes and materials, experience | LE | LA | Intuitive and normative |
Adapting production process to site specific needs | Experience, discussions, gut feeling, bills of materials and processes | LE | HA | Intuitive and normative |
Identifying problems and improving production process | Bills of processes and materials, experience, spread sheet calculations, prototyping, line balancing, production databases | LE | HA | Intuitive and normative |
Setting objective for reducing factory floor space | Experience, discussions, mental simulations, managerial reports | LE | HA | Intuitive and normative |
Identifying needs of production site in Latin America | Bills of materials and processes, forecasted demand, line balancing, site visits, experience, discussions | LE | HA | Intuitive |
Proposing layout for multi-product production system | Bills of materials and processes, forecasted demand, line balancing, site visits, experience, discussions and testing on site | E | LA | Intuitive and normative |
Evaluating and testing layout for multi-product production system | Dimensions, production process, material flow, spread sheet, calculations and forecasted demand | LE | HA | Intuitive and normative |
Setting objectives for standardizing tools for production process | Experience, discussions, prior activities | LE | LA | Intuitive |
Mapping current equipment and tools | Bills of processes, work instructions, experience and site visits | LE | HA | Intuitive and normative |
Specifying tools and equipment for multi-product production system | Bills of processes, work instructions, experience, prior activities, testing on site | LE | LA | Intuitive and normative |
Prioritizing the reduction of traveling distance of internal logistics | Experience, discussions, prior activities | LE | LA | Intuitive |
Identifying logistic needs for multi-product production system | Experience, discussions and mental simulations | LE | LA | Intuitive |
Evaluating current logistics capabilities | Forecasted demand, assembly sequence, parts, routes, warehousing and on-site analysis | LE | HA | Normative |
Proposing logistics solutions for multi-product production system | Forecasted demand, assembly sequence, parts, routes, warehousing, on-site analysis and testing on site | E | HA | Intuitive and normative |
Agreeing on need for improving competence of operative staff | Experience, discussions and expert input | LE | HA | Intuitive |
Determining critical issues for improving staff competence | Experience, discussions, expert input, prior activities, forecasted demand, line balancing, time studies and material flow | LE | HA | Intuitive |
Specifying policies for staffing, organization strategies, and training | Experience, discussions, expert input, prior activities, forecasted demand, line balancing, time studies, material flow and testing on site | LE | HA | Intuitive and normative |
Adopting performance indicators on site | Experience, discussions, expert input and managerial reports | LE | HA | Intuitive |
Comparing current production system to a multi-product one | Prior activities, forecasted demand, material flow, spread sheet calculations, expert and management input | LE | HA | Intuitive and normative |
Determining advantages and trade-offs of multi-product production system | Prior activities, forecasted demand, material flow, spread sheet calculations, expert and management input | E | HA | Intuition and normative |
Notes: Equivocality (HE, high equivocality; E, equivocality; LE, low equivocality), Analyzability (HA, high analyzability; LA, low analyzability)
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The authors gratefully acknowledge the contributions of all the participants from the anonymous company used as a case study in this research. Financial support from the Knowledge Foundation (KKS), and the industrial graduate school “Innofacture” is also gratefully acknowledged.
About the authors.
Erik Flores-Garcia is Doctoral Candidate at the Innofacture Industrial Graduate School, Mälardalen University, Sweden. His research interests include simulation, production decisions and process innovation.
Jessica Bruch is Professor in production systems at Mälardalen University, Sweden. Her research interest concerns various aspects of production development and addresses both technological and organizational aspects on the project, company and inter-organizational level.
Magnus Wiktorsson is Professor in production logistics at the Royal Institute of Technology (KTH), Sweden. His research interests include two ongoing major changes in production logistics: the digitization of all processes and the need for transformation into environmentally sustainable production.
Mats Jackson is Professor in innovative production at Jönköping University, Sweden. His research interests include flexibility of production systems, industrialization and innovation in production systems.
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18th October 2019
When Ergonomic experts, ViveLab, were commissioned by Secret Hungary Ltd. to conduct a survey at their production line the results had a far-reaching impact. Not only was there an optimization of the production process but their analysis also informed a workstation redesign and a reorganisation of workflow. As a result, the efficiency and output improved dramatically helping the factory cut costs. Find out how:
The core aim of the survey was to check the efficiency of workloads, along with the impact of processes on staff and to eliminate bottlenecks – all in order to secure compliance with the standard EN 1005-4.
Throughout the project, the team reviewed the work instructions, monitored workflows, captured how workers moved and interacted with the assembly line. It also measured the cycle time for each task to get a full view of the operation.
The results of the survey and optimization recommendations were then simulated and analyzed with the ViveLab Ergo software, allowing comparisons between the existing and the planned work processes.
This was conducted in 4 steps:
STEP 1: SCREENING, I.E. ERGONOMIC IMPACT ASSESSMENT
During the screening, the workstations on the production line were categorized according to the intensity of workloads along with the seriousness of health effects and involved risks.
This first phase helped the ViveLab team assess the overall state of the production area as quickly as possible, see where the problem is most acute, and where corrective measures will be most effective so they can be prioritised.
This was reviewed with the client and they agreed on the selected areas to investigate further with motion capture equipment and analysis using ViveLab Ergo.
STEP 2: MOTION CAPTURE WITH SENSORY EQUIPMENT
The movements of the workers on the pre-assembly line were captured with 17 wireless inertial Xsens sensors strapped to their bodies. Unlike optical sensors, inertial motion capture doesn't need a camera system, and, unique to the Xsens Motion Capture technology, electromagnetic waves do not distort data.
The sensors could be calibrated quickly and easily without hindering the production and didn't impede or influence bodily exertions – this meant that workers could move naturally, resulting in a recording that accurately reflected a typical working day.
STEP 3: VIVELAB ERGO SIMULATION AND ANALYSIS
Based on floor plans, the team built up a digital model of the pre-assembly line. After they had constructed the environment, they created virtual human characters and assigned each character the relevant motion files that had previously been captured with the Xsens suits. As a result, they had a working model of the pre-assembly line with the motion associated with the work activity there.
Thanks to inertial motion capture, the built-in analyses methods can also detect critical movements and postures that might not have been noticed prior, or that might have remained hidden because of potential screening effects. ViveLab then exported the analysis reports that highlighted positions—with relevant angles and with an accuracy matching hundredths of a second—that need to be adjusted to reduce the workload of employees.
The software evaluates the postures of the employees according to several built-in ergonomic analysis tools: RULA, OWAS, NASA-OBI methods, ISO 11226, EN 1005-4 standards, Spaghetti Diagram and Reachability Test. The software checks whether the load on each body part exceeds the acceptable limit.
The team examined different kinds of health-harming postures that occur often, analyzing the movements that can significantly slow down the work process. While examining motion, they identified movements that were not necessary for the successful completion of the task and looked for ways to avoid them. As a result, cycle time was reduced and it became possible to speed up the conveyor belt.
One of the biggest problems revealed in the report was the impact of having a lack of space. Consequently, it was difficult to access the different and overt parts of the workstations, affecting the researcher’s ability to find a suitable place for the supply containers. This resulted in employees hampering each other’s movements with the tools and fittings becoming cumbersome.
STEP 4: TECHNICAL DESIGN, VIRTUAL VALIDATION
The report, that was exported from the software, presented the movements that were found to be physically demanding or avoidable. This report, which is based on accurate and objective measurements, provides essential data to the design team of engineers and ergonomics experts. On this basis, our specialists developed an action plan that included several individual, organizational and technical proposals. The team then recorded the motions in the new layout and simulated the new workflows.
Virtual validation without a prototype before the implementation, with Xsens MVN Analyze
Instead of working on two larger workbenches as used previously, each employee works at his own height-adjustable desk on the new pre-assembly line. This allows them to work at a table suitable to their own height. An advantage to this solution is that the workers are able to carry out their tasks in a comfortable manner whilst reducing fatigue. As such, the muscles in the neck, shoulders and spine of the worker are less strained.
Informed by the analysis, ViveLab recommended that employees are given a chair so that they can alternate between standing or sitting positions – this is also supported by the height-adjustable desk. The chair they use should also have wheels that can easily roll closer to the container or conveyor belt.
It was proposed that the installation of roller bar conveyors between the different workplaces for the transfer of items to be assembled in an effort to reduce workplace injury.
PROJECT RESULTS
One of the most important effects cited as a result of the corrective measures was reduced cycle time in the pre-assembly unit. It became possible to speed up the conveyor belt as requested by 15%; reducing the time required to produce the final product. This faster production process increases the annual revenues of the company by approximately €250,000.
Thanks to the reorganization, one employee instead of two can fulfill the task at the cable box assembly workstation. As a consequence, the spare worker can be moved to another area where there is a workforce shortage. This is will save approximately €15,000 in annual wage costs for the company.
In addition, supplying the line with raw materials has become much smoother. The space requirements of the workstations have been reduced from 41m2 to 24m2.
ViveLab tested the redesigned workstations with the ViveLabErgo software according to the same ergonomic analysis methods as we had done in the case of the original workplaces. The report exported from the software details the analysis results for each workstation. From this document, the RULA analysis results are compared – however, the financial gain achieved by protecting the health of workers is harder to quantify. Preventing musculoskeletal disorders also means financial savings, as the cost of sick leave days is significantly reduced.
Like the original workstations, the redesigned ones were examined and tested according to the ISO 11226 and EN 1005-4 standards. Every analysis method proves that the redesigned workflow is much less burdensome for employees.
The example presented here demonstrates how, based on the results of a detailed ergonomic study, a successful redesign of a workstation (or of a complete manufacturing unit) reorganizes the workflow and can improve the efficiency of an entire factory. Even with fewer workers, production is faster and production space is reduced. However, it is invaluable that the employer has done everything he or she can to prevent musculoskeletal disorders. As a result of the changes implemented, workers will be less exhausted by the end of their shift and risk of musculoskeletal and other problems are reduced. In addition, ergonomically designed workplaces help ensure that the workforce feels safe and comfortable within their roles.
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POSTED 10/26/2023 | By: Carrine Greason, A3 Contributing Editor
Can we make a factory smart enough to tell us before it breaks? We have cameras everywhere, but can we truly keep an eye on all parts of our operation? And can we make a robot smart enough to pick up a single chicken wing, even when it’s squished into a wet pile of dozens of others?
The answer is yes.
Artificial intelligence (AI) is helping industrial manufacturers do more – from handling more types of materials and optimizing production lines to making timely maintenance interventions and even building smarter factories. Data from your factory can enable AI to optimize workflow—whether at a single production station or across a facility.
A pilot project is a good place to get started with AI. To inspire you and help you choose one, AI experts at Invisible AI, NVIDIA and Siemens shared pertinent use cases of where industrial AI delivers value and makes factories smarter today.
AI makes it possible for robots to handle new types of materials, even raw poultry. With AI-based training, objects that were previously impossible for robots to identify and manipulate are now within their grasp.
Rather than taking 10,000 pictures of all the ways chicken parts randomly drop, AI can build photorealistic, physically accurate 3D representations and put them under different lighting conditions, Andrews says. Using the images from the simulation to train the AI model saves time compared with photographing and labeling thousands of real-world images.
Data generated from computer simulations or algorithms is called “ synthetic data ”, Andrews explains.
“Using the synthetic data, Soft Robotics greatly accelerates how quickly companies can deploy robotic arms in different manufacturing applications to pick and place objects.”
AI also helps management focus their efforts. While factory floor supervisors can’t be everywhere at once, smart devices can. As Eric Danziger, CEO at Invisible AI , explained, ready-to-use smart devices help manufacturers uncover opportunities to optimize assembly lines.
Traditional cameras produce hours and hours of 2D video — and too much information.
“AI makes sense of the pictures and combines the visual input with other types of production data and signals to make a 3D map of people, their tools, current productivity, and cycle time,” Danziger says.
AI insight directs attention to where it’s needed. “AI helps you understand which thing your production team should pay attention to, such as a worker who quietly pushes a button repeatedly to get a balky machine to function but doesn’t alert a supervisor to the ongoing problem.”
Much of this comes down to a process at which Invisible AI excels: anomalous cycle detection , which analyzes whether a human or machine cycle is performing within an expected range or abnormal.
A Tier 2 automotive supplier, for instance, doubled the throughput of a production line with Invisible AI’s help.
“They knew they had a problem line and needed better visibility and better views,” Danziger explains. Using AI tools, they identified high spikes in cycle times at some stations, including the workstation shown in the shift management workflow chart below. Frontline operators and managers at the supplier now run shifts and find issues in real time.
In another case, an automotive OEM partnered with Invisible to identify underutilized stations, as shown in the process improvement workflow chart. The OEM used the insight to consolidate stations and produce 5 percent more per throughput per shift while reallocating 20 percent of headcount.
Like a race car driver at a track, timely maintenance and faster pitstops can be a winning approach.
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“Predictive maintenance is one of the first things to implement with AI in an industrial setting,” says Bernd Raithel, director of product management and marketing for factory automation at Siemens Digital Industries .
Mechanical parts like bearings wear out and must be replaced routinely, like changing the engine oil in a car based on distance traveled.
“AI predicts that Machine A is going to fail with a stated confidence level in the next two days,” Raithel explains, so the maintenance team knows to replace the bearings before they get stuck. A short, planned maintenance shutdown results in less loss of production than an extended, unplanned outage.
Prescriptive maintenance is a step beyond predictive maintenance. Although the two terms sound similar, prescriptive maintenance keeps more complex equipment running. AI may adjust the operations of the equipment to keep it going. And “prescriptive maintenance gives some ideas up front about what component is about to fail and what parts the technician needs to fix the machine,” Raithel says.
Successful AI requires data from production processes. When the public sees AI in action, the vendor has already performed the AI training. In contrast, for industrial manufacturers, the first step is to collect enough data on which to base decisions,” Raithel says. “There’s often a lot of data already available from machines.”
Siemens, for instance, used a wealth of production data to increase throughput of a production line of printed circuit boards by performing 30 percent fewer x-ray tests. They accomplished this task using AI to identify which boards were likely to benefit from inspection. The company collected large amounts of processes, parameters and other information about test results to feed the AI model as well as correlating 40,000 production parameters. With the data, Raithel says, Siemens learned which parts were defective as well as the source of the defects, which the company used to further improve quality.
New factory design and process changes involve risks that can be reduced through a 3D simulation in a type of virtual factory, otherwise known as a digital twin.
Linked to existing systems, a digital twin looks and works like the real-world factory it simulates. The industrial metaverse, a 3D virtual world built specifically for industrial manufacturers, makes this possible. These virtual environments also help to generate synthetic data to train AI/ML algorithms. In a recently announced partnership, NVIDIA and Siemens announced plans to bring the industrial metaverse to industrial customers of all sizes.
A FREYR virtual battery factory , for instance, provides 3D representations of the infrastructure, plant, machinery, equipment, human ergonomics, safety information, robots, automated guided vehicles, and detailed product and production simulations.
A digital twin of a BMW automotive factory is another example. With simulation, the entire planning phase of the manufacturing facility can happen in a virtual world, and everything can be tried out and tested. “The OEM knows with a high-level of confidence that a system is going to run and achieve the throughput on Day One,” says NVIDIA’s Andrews.
From grasping chicken parts to building entire virtual factories, industrial manufacturers are using AI in the real and virtual worlds. Beyond these case studies, the opportunities to increase agility and optimization through AI are (virtually) limitless.
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Lean Six-Sigma – LSS manufacturing floor. Initiated in the automotive industry, continuous improvement were implemented to improve the manufacturing process change. LSS elaborate a case where lean process. Benefits of LSS are to process inventory. Six-sigma focuses on process flow and pressure variations. Value Stream Mapping to reveal problems lean, such as describes all activity of process, Therefore, a new VSM is corrected to redesign a new lean process flow through process improvement with elimination of the root causes of waste. This paper proves the using of LSS principles and
International journal of technology and engineering studies
Attia Gomaa
Success of any organization is directly related to how effectively it implements continuous improvement methodologies. Lean Six Sigma (LSS) is a continuous improvement approach that aims to improve process efficiency and effectiveness. This study explores the latest developments, current trends and perspectives of LSS in the manufacturing sector. LSS critical success factors (CSFs) in manufacturing are discussed. The results of this study revealed the most important contributions in terms of publications, authors, countries, application, objectives and LSS tools. The results found that, applying LSS approach can improving quality, reducing process variation, eliminating waste, improving production rate, improving process productivity, reducing cycle time, reducing non-value-added time, reducing lead time, and reducing production cost. Which lead for reducing unit price and increasing customer satisfaction. Furthermore, the results can be used for a systematic literature review by researchers and manufacturing leaders before embarking on a continuous improvement journey. Finally, an integrated LSS-DMAIC framework is developed for improving manufacturing efficiency and effectiveness.
Lean Manufacturing and Six Sigma - Behind the Mask
Hari Lal Bhaskar
Quality & Quantity
Ediz Atmaca
IOSR Journals
Abdulrakeb Ghaleb , Mahmoud A. El-Sharief
Many companies look for ways to improve their production and management processes in order to remain competitive in the market. This calls for ways to reduce production cost, enhance productivity and improve product quality. Therefore, companies must utilize the available resources efficiently in order to cater their customers with high quality products at low prices. Lean Manufacturing focuses on elimination of waste and thus increases overall speed of the processes or services; its use increased after the 1973’s energy crisis in Japan. While, in 1980s appeared six sigma in USA, which focuses on quality and thus reduce variation in process and improve the efficiency of process. Recently, Lean six sigma is a business improvement methodology, which combines tools and techniques from both lean manufacturing and six sigma, the result, is better quality, optimized process and increase efficiency. This study shows that the developing countries and the most advanced are given more importance to lean six sigma than other least developed countries. The most factors that used in lean six sigma are time, cost and defects, but some of research merged among more than a factor from these factors. The tools and techniques most used for lean Six Sigma in the industry sector are the value stream mapping, cause and effect diagram and process flow diagram. The tools and techniques most used in the health sector is the cause and effect diagram technique, while the value stream mapping, process flow diagram and cause and effect diagram are the tools and techniques most used in the service sector.
International Journal of Six Sigma and Competitive Advantage
Mohit Handa
Mirko Soković
Many organizations, dealing with continuous improvement methods, have realized that Lean and Six Sigma methodologies complement each other. Lean manufacturing focuses on the removal of waste so that all processes in the total system add value from the customers’ perspectives. The main emphasis of Six Sigma is the application of statistical tools in a disciplined manner, which requires data-driven decision-making. The integration of Lean and Six Sigma provides a synergetic effect, a rapid process improvement strategy for attaining organizational goals. When separated, Lean manufacturing cannot bring a process under statistical control, and Six Sigma cannot dramatically improve cycle time or reduce invested capital. Together, synergistic qualities are created to maximize the potential for a process improvement. The paper deals with Lean and Six Sigma principles and approaches used in modern manufacturing for process improvements, and bring forward benefits that are gained when these t...
International Journal of Multidisciplinary Research and Growth Evaluation
Oladipupo Olutade
International Business Management
Rohail Hassan
This is an era of quality management and quality is a parameter for the selection of a product or service because the customer wants a defects free product or service. Six Sigma is a quality improvement approach that aims to reduce the number of defects up to 3.4 parts per million. In the last three decades, it helped several companies to enhance the capability of their processes and to increase the level of quality of their product or service. This case-study based research deals with application of DMAIC (Define, Measure, Analyze, Improve and Control) methodology of Six Sigma to reduce the machine downtime for process improvement. The tools and techniques used during the analysis are Process Mapping (SIPOC Diagram), Process Flow Chart, Process Capability Analysis, Histogram, Pareto Chart, Pie Chart, Cause and Effect Diagram, Brainstorming, Affinity Diagram and ANOVA. The results of this study show that sigma value has improved from 2.79 Sigma to 2.85 Sigma. This study also highlit...
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Syed Hasib Akhter Faruqui
Saja Albliwi
International Journal of Production Research
Manoj Tiwari
Springer, Arabian Journal for Science and Engineering
Hugo Rivera Melendrez
Jiju Antony
Independent Journal of Management & production
Vander Luiz Da Silva
Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics
Wa Tshibangu
Raghunath Anandakrishna
Islam Sharaf
Jaime Calbucan Sanchez
ACTA SCIENTIARUM. TECHNOLOGY (ONLINE)
Orlando F O N T E S Lima Jr
Journal of Advances in Management Research
Amandeep Singh
Scholar Press
Bikram Jit Singh
E3S web of conferences
Zahrotun Nihlah
Allen Tadayon , Taravatsadat Nehzati
Mark Gershon
Journal of Asian Scientific Research
rahmat nurcahyo
jiju1968 antony
Why are manufacturing case studies so important?
Well, the industrial buying trends have been pointing in this direction for years: You would be wise to have customer-centric copy on your website for when prospects visit to do their research. But the pace of the digital content revolution has surpassed even what some of us in the business have expected.
The typical B2B buying process now involves six to 10 decision-makers, according to Gartner. Each person is independently scouring online for five to six content pieces to bring to the table.
And what do these prospects want to see? High on that list will be how your product, service, or solution has worked for others. Which brings us to the topic on hand: manufacturing case studies. Why don’t we see more of these in the industrial marketing ecosystem?
In the latest edition of the Industrial Marketer podcast, co-hosts Joey and Nels discuss how case studies and success stories are under-utilized and under-appreciated as a content marketing tool.
Many marketing terms have lost their original meaning and been diluted in application.
A white paper, for example, has its origins in government and academia as an in depth report on policy or research findings. Now the term “white paper” signals little more than promotional information about technical features or how a product or service functions as a solution.
The “case study” originated in clinical medicine, but it became more synonymous with business when graduate business schools began digging into why things worked, or why they didn’t work. A traditional case study drafted for manufacturing marketing purposes includes:
The power of a case study is in the outcome, with key statistics or metrics that demonstrate the real-world proof of your solution in the marketplace. And therein lies the rub.
In recent memory, it certainly feels like the manufacturing community has increased the number of hurdles to doing case studies and raised the height of those hurdles. Ask your clients for information to do a manufacturing case study and you are likely to hear objections around:
The results have meant a near death knell for the traditional manufacturing case study. Nowadays, instead of a metric-filled recap that could be a digital marketer’s dream content, what we see are vague references to saving time and money for an entity in a large industrial sector.
So, what are industrial marketers to do if they want to create manufacturing case studies that will land with their target audiences?
For practical purposes, what we really are talking about in industrial marketing circles when we say “case studies” is offering real-world proof of success with your solution. We are talking about success stories and even testimonials.
In lieu of a traditional case study full-combo platter of company name, solution and real metrics, industrial marketers should be creative about telling success stories in any way they can. Find ways to get your clients to say yes to bragging on their successes. For example, you can reduce the format to be framed around two key categories: the challenge and the solution.
Here is a great way to frame the challenge: “Our (industry) customer challenged us with designing and manufacturing a (application) to achieve (objective).” This approach can be replicated for many situations. Be specific about what you are being asked to do. That’s what is important to prospects. Play to your strengths. Use examples that you know will resonate with your ideal customers.
For solutions, be clear about what you were able to accomplish. You can describe specs or dimensions or materials without giving away trade secrets. In the end, you might not be able to say much more regarding results than, “All design specifications were met.” But even that can be a powerful statement to a prospect. You were asked to help a client do something, and you did. If you can’t go into details about the results, go into details about how you met the challenge.
Don’t underestimate the power of a customer testimonial, especially in video format. Work with your customer to get the most possible value from a testimonial. Listen to what they want to say, and encourage them to address the areas that are important to you. Maybe you develop a script for them.
A testimonial is like a reference. Get a range of testimonials, from new customers to your most loyal. Map out a list of possible testimonials — e.g., one customer might be able to address how you improved their cycle time. Another customer might talk about how you helped with quality. Maybe you solved a vexing issue for a new customer.
A group of testimonials can tell a powerful story. And you also could be sitting on a gold mine of nuggets that you could sprinkle throughout your website in FAQs, on product pages, and on the main page each industry you serve. Don’t forget: More people than ever are researching your products and services. In the absence of traditional manufacturing case studies, success stories and testimonials can help get them farther along the buying journey.
For more insights into how to implement a CRM in a way that will help you drive growth, tune into Episode 28 of the Industrial Marketer podcast.
The Industrial Marketer podcast comes out twice a month. To subscribe, visit our Buzzsprout show page and select your podcast platform of choice.
And if you have any ideas for topics you’d like us to cover on the podcast — or here on the Industrial Marketer website — send us a message on Facebook or Twitter and let us know!
Tags: content marketing , content strategy , Industrial Marketing Podcast
Nels Jensen is a veteran B2B journalist, Senior Content Creator at INDUSTRIAL , and co-host of the Industrial Marketer podcast. His early career was in sports. He says business is a lot like sports; people keep score and there are winners and losers.
Fellow industrial marketers.
In the past five years, a select group of companies have started pulling ahead in their efforts to implement Industry 4.0 across their manufacturing networks . Leading manufacturers are now realizing significant value from data and analytics, AI, and machine learning (ML). However, a large majority remain stuck in pilot purgatory, struggling to capture the full potential of their transformation efforts or deliver a satisfactory return on investment.
While digital transformations are notoriously difficult to scale up across networks of factories, the pressure to succeed is intense. Companies at the front of the pack are capturing benefits across the entire manufacturing value chain—increasing production capacity and reducing material losses, improving customer service and delivery lead times, achieving higher employee satisfaction, and reducing their environmental impact. Scaled across networks, these gains can fundamentally transform a company’s competitive position.
With so much at stake, manufacturers are putting significant time and money behind their digital transformations . These investments are paying off for some, but most remain unable to scale successful pilot programs or fully leverage new tools and technology to see meaningful returns.
This article explores some of the common pitfalls associated with digital transformations and how a more strategic and value-driven approach could help manufacturers in the race to get ahead.
The digitally enabled factory of today looks very different from the leading factory of ten years ago. Advances in data and analytics, AI, and ML—and the array of technology vendors in the market—mean manufacturers can choose from hundreds of potential solutions and tech applications to improve their ways of working.
Implemented successfully, these solutions deliver irresistible returns. Across a wide range of sectors, it is not uncommon to see 30 to 50 percent reductions in machine downtime, 10 to 30 percent increases in throughput, 15 to 30 percent improvements in labor productivity, and 85 percent more accurate forecasting (Exhibit 1).
While digital transformations are notoriously difficult to scale up across networks of factories, the pressure to succeed is intense. Companies at the front of the pack are capturing benefits across the entire manufacturing value chain.
Digital transformations are revolutionizing all aspects of manufacturing, touching not just processes and productivity but also people. The right applications of technology can lead to more empowered decision making; new opportunities for upskilling, reskilling, and cross-functional collaboration; better talent attraction and retention; and improved workplace safety and employee satisfaction.
Customers see the impacts through reduced manufacturing lead times, right-first-time launch management, and improved customer service and complexity management. And, of course, there are the win–win advantages associated with reduced environmental impact, made possible through lower emissions and reduced waste and more efficient energy, water, and raw-material consumption.
These productivity, process, and people improvements are not easy to accomplish—especially across a network of individual manufacturing sites, each with its own site leadership, IT infrastructure, and workplace culture. It is not uncommon to hear of companies achieving impressive results through pilot programs at one factory site only to find themselves unable to replicate these local wins across their network.
This was the situation at a global industrial company. Facing a considerable ramp-up in demand—volume more than doubled over just three years, which translated to producing more than 50 million additional parts—the business embarked on an ambitious digital transformation at one factory. The goal was to increase overall equipment effectiveness (OEE) by ten percentage points and reduce product unit costs by more than 30 percent.
The project delivered: the factory was admitted to the Global Lighthouse Network , a World Economic Forum initiative, in collaboration with McKinsey, that recognizes leadership in the Fourth Industrial Revolution. The site started welcoming external visitors to showcase its transformation. But despite this achievement, it was unclear to the company how to take this local success story and replicate it across other sites.
The common pitfalls of scaling digital transformations.
There are five common reasons why manufacturers are not succeeding on this journey.
Siloed implementation. By pursuing digital transformations as a theoretical exercise, many companies unwittingly set up independent delivery teams that are decoupled from business leaders, site operations, manufacturing excellence, and central IT. Others focus too much on replicating a single site experience, failing to appreciate wider network complexities.
Failure to adapt. By deploying a one-size-fits-all approach, manufacturers miss the opportunity to build in the customization and adaptation needed to leverage the unique circumstances, culture, and values of separate factory sites.
Analysis paralysis. Performing a full and deep up-front analysis of an entire network can leave a manufacturer out of steam before a transformation can get off the ground. Instead, robust, accurate-enough insights can be gleaned from a well-developed extrapolation methodology.
Technology-driven rather than value-driven. A technology-first rollout means that solutions are deployed without a clear link to real value opportunities, business challenges, or capability requirements. The result: undermining crucial buy-in from the people charged with making deployment work.
Letting the ‘perfect’ defeat the good. By waiting until a fully fledged, ideal-state data and IT/OT (information technology/operational technology) architecture is defined and implemented before rolling out Industry 4.0 solutions, manufacturers lose out on the shorter time-to-impact made possible through a proven and pragmatic minimal viable architecture.
A technology-first rollout means that solutions are deployed without a clear link to real value opportunities, business challenges, or capability requirements, undermining crucial buy-in from the people charged with making deployment work.
Manufacturers playing catch-up to the leading companies generally fall into one of three company archetypes.
The cautious starters. These companies are investigating how to begin their digital-transformation journeys. They need help to identify the full value that Industry 4.0 can bring to their business and to develop a network-wide strategy and deployment road map.
The frustrated experimenters. These companies have started experimenting through pilot programs with some successes. However, they find themselves deploying technologies without a clear understanding of how to achieve financial ROI.
The ready-to-scalers. These companies are deploying solutions and technologies but remain unable to maximize the returns or scale at pace across their networks. They need to recalibrate by focusing on how to capture the full benefits of Industry 4.0 or how to accelerate rollout to respond to shifts in business and customer needs.
No matter where a company falls on the spectrum of archetypes, there is great value in slowing down and regrouping around a new, more targeted strategy aimed at maximizing the value of a digital transformation.
An important lesson from the few organizations that have succeeded in scaling digital innovations is how they started their impact journey. Before jumping headfirst into procurement and deployment, the leading companies spend time identifying the full potential of Industry 4.0—pinpointing high-leverage areas across the manufacturing value chain—and architecting a laser-focused digital-manufacturing strategy and deployment road map.
The first phase of this approach includes a network scan to identify the value at stake and a priority list of technology use cases, taking into consideration data, IT/OT, and organizational maturity. An accompanying road map can then build on this groundwork, defining the deployment strategy and targeted sites for initial rollout, followed by a network-wide rollout plan to reach scale.
Taking the time up front to perform a network scan to find opportunities for big wins and quick wins can create significant momentum for a digital transformation. As manufacturing sites begin to capture financial and operational value—not to mention the benefits associated with improved organizational capabilities, workforce satisfaction, customer service performance, and environmental impact—these returns can create a virtuous feedback loop where programs become self-funding and initiatives translate more quickly into competitive advantage.
It is this methodology that underpinned the approach taken by the industrial company mentioned earlier. Following its lighthouse success, the business needed to understand how and where to invest to maximize returns across its network. By performing a network scan on a subset of its manufacturing value streams across more than a dozen sites, it identified five sites that together represented around 80 percent of the value at stake. Further, it found that ten out of the 17 identified use cases for technology accounted for 75 percent of the potential impact.
With a sound value-capture deployment strategy in place, and after structurally investing in the required capabilities, the company was able to replicate the network scan approach across the rest of its manufacturing network and scale to other business areas. A senior stakeholder in the company said: “We essentially wrote the playbook for how to scale this into our other sites and are making great progress in these places—not only across our downstream production network but also within our upstream production sites, leveraging digital to reduce human interventions and increase compliance.”
Focus on real business needs and current performance challenges, and follow a “strengths upward” approach, building on solutions that have already worked well at individual sites and can be rolled out pragmatically across the network.
In another example, a global consumer company had been piloting digital innovations in a number of business units for some time, but with few ideas achieving much impact beyond the individual line or site. Company leaders recognized the need to clarify which digital solutions could contribute to overall business needs and priorities, and where to focus transformation efforts to implement solutions at scale.
Following two months of up-front analysis focused on eight prioritized sites from a network of more than 40 factories in Europe and North America, the company realized that about 20 sites accounted for 80 percent of the total savings potential. It also identified a prioritized portfolio of digital solutions, with about two dozen use cases having relevance across the entire network, and a dozen identified as “no regrets” priorities.
Crucially, the process has enabled the company to understand the level of readiness of its data and technology infrastructure and the investment required in technical, managerial, and transformational capabilities. The company came out of the two months with an aligned and value-oriented road map for rolling out a digital transformation across its network. The plan integrated both digital and traditional lean or Six Sigma improvements, accounted for resources and technology requirements, and reflected a clear strategy for building capabilities at scale. The company went on to deploy at scale across multiple sites, pursuing more than $100 million of identified savings.
Whether manufacturers are starting out on their digital-transformation journeys—or recalibrating their approach after false starts or failed attempts—the approaches adopted by leading companies point to seven golden principles for scaling a successful digital transformation.
Communicate well and often. Establish an effective engagement plan and regular communication with critical senior stakeholders, site leaders, and a cross-functional core team.
Be specific. Focus on real business needs and current performance challenges, and follow a “strengths upward” approach, building on solutions that have already worked well at individual sites and can be rolled out pragmatically across the network.
Segment, select, and syndicate. Segment the manufacturing network and select representative sites for an up-front network scan. Syndicate the extrapolation methodology up front to indicate how focused insights will be scaled to derive a networkwide analysis.
Formalize the value at stake. In each assessed site, describe the actual value at stake by linking the most applicable Industry 4.0 solutions or use cases with current digital readiness, data availability, and IT/OT architecture.
Develop a three- to five-year vision for the network. Describe the total value at stake from prioritized bundles of use cases to align business leaders on the ambition, and form a compelling change story for the broader organization. An engaging visual representation of the key solutions can help to engage the broader organization with the vision (Exhibit 2).
Design a digital-manufacturing road map. Develop a prioritized rollout plan with a clear scaling strategy and articulation of the value to capture over time, integrating enablement of data and IT/OT architecture as well as resourcing requirements, capabilities, and change management.
Syndicate the vision and secure leadership buy-in. Circulate the business case and requirements with key stakeholders, aiming for a clear mandate from top leadership and close engagement on target setting and execution from site leaders.
Whether stuck in pilot purgatory or under mounting pressure to demonstrate returns, companies can become dispirited and discouraged. However, by taking just one or two months to slow down and develop a robust manufacturing strategy and deployment road map, companies can accelerate their Industry 4.0 transformations and chart a clear journey forward for the next few years.
Ewelina Gregolinska is an associate partner in McKinsey’s London office, where Rehana Khanam is a partner and Prashanth Parthasarathy is a senior expert; Frédéric Lefort is a partner in the Gothenburg office.
The authors wish to thank Søren Fritzen, Sven Houthuys, Regis Peylet, Mikhail Razhev, and Hariharan Vijaykumar for their contributions to this article.
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Home > Books > Advances in Materials Processing - Recent Trends and Applications in Welding, Grinding, and Surface Treatment Processes
Submitted: 07 February 2024 Reviewed: 12 February 2024 Published: 18 September 2024
DOI: 10.5772/intechopen.1005013
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In the first 60 years of grinding research (1914–1974), various dimensionless parameters were introduced to account for the fundamental mechanics of an abrasive contact. Later, these parameters were superseded by various chip-thickness models, which required the difficult and often ambiguous quantification of grinding-wheel topography. The first-principles approach has recently re-emerged via the grand-unifying Theory of Aggressiveness and the practical aggressiveness number, a dimensionless parameter that has proved to be powerful in optimizing any arbitrary abrasive process, including grinding and truing/dressing. It has now gained wider popularity and use because of its ability to capture the fundamental process geometry and kinematics while circumventing the need to quantify the wheel topography. This paper reviews the use of the dimensionless aggressiveness number in several case studies from real production, demonstrating how the concept can be used to optimize industrial processes, including camshaft and crankshaft grinding, saw-tip grinding, flute grinding, double-disc grinding, and diamond-wheel truing.
Peter krajnik *.
*Address all correspondence to: [email protected]
Of all metal-cutting processes, machining with abrasives seems to remain the least understood. This perception has been present since at least the 1950s, when investigations of the fundamental process mechanics began to be published. In words of L. P. Tarasov, “grinding is such a complex process to analyze mathematically” [ 1 ]. Seventy years later, new grinding models are continuously being published. These are often either (i) incremental in advancing the process understanding or (ii) overly complex, for example, by integrating macro-scale quantities (e.g., kinematics) with micro-scale properties (e.g., number of dynamic cutting points on the wheel) without careful consideration of the benefits of such an approach in real-world manufacturing. Early advances in grinding technology were primarily achieved by practical experiments alone, whereas nowadays, experiments are often combined with some sort of modeling. Consequently, advances in our understanding of first principles consist of a deeper knowledge of why a certain phenomenon arises, which can be applied to many applications. Research in which only new experimental data are produced – for example, the effect of truing-wheel direction on the efficiency of diamond-wheel truing – is indeed an advance in technology and is of value to industrial end-users, but it does not lead to a better process understanding with respect to first principles. However, if a new insight into the truing mechanics (such as in [ 2 ]) is revealed, the research of this type is more generic and can be applied to other wheel-conditioning applications. In other words, research that not only presents experimental results but can also explain these results from fundamental engineering principles is more useful than experimental results alone.
In this regard, classical grinding research is first discussed with respect to its use of fundamental grinding models. These are then put into the context of the recently developed Theory of Aggressiveness [ 3 ], which accounts for the fundamental process mechanics (e.g., specific energy, shear) and its dependence on all-inclusive parameters of process geometry and kinematics.
The early analytical models to describe process geometry and kinematics and the resulting undeformed chip thickness were reviewed by Reichenbach et al. [ 4 ]. Studies of wheel topography and its parameters to a large extent originate in Germany [ 5 , 6 , 7 ]. For these models, wheel topography needs to be measured and quantified, including static and dynamic cutting-edge spacing or density. The cutting-point density is a key parameter in the calculation of the maximum undeformed chip thickness. Even though it was introduced decades ago [ 8 ], it still has limited use in optimizing grinding operations in industry as practitioners in the field do not have readily available methods to quantify wheel topography. Nevertheless, the wheel topography is fundamentally interrelated with process geometry and kinematics in grinding [ 7 , 9 , 10 ], which happens to be a dimensionless quantity equivalent to the aggressiveness number promoted by the authors of this work. The aggressiveness number is proportional to chip thickness but avoids the problems associated with quantifying the wheel topography. Moreover, the aggressiveness number has been shown to better correlate to grinding data such as grinding forces, specific energy, and surface roughness in comparison to equivalent chip thickness introduced in 1974. It is therefore important to clarify how this fundamental relationship of quantifying the interaction of two surfaces in abrasive contact can be used to advance process understanding and, at the same time, optimize an abrasive process. The Theory of Aggressiveness is based on first-principles mechanics and is, as such, not process-specific. Therefore, it can be used to improve any abrasive operation, from complex grinding processes to truing/dressing of grinding wheels.
Early grinding models were derived from metal-cutting theories, such as Merchant’s force diagram [ 11 ]. For example, Merchant himself, with Backer, proposed a force system acting on an abrasive grit where the radial and tangential forces are in equilibrium with the normal and frictional forces [ 1 ]. In contrast to orthogonal cutting, however, the grit geometry in grinding is geometrically undefined. Hence, the effective rake angle on the tool is not known. Therefore, Backer and Merchant [ 1 ] attributed the fundamental process mechanics to the specific energy and the ratio of radial to tangential force. Another distinctive characteristic of a grinding process in comparison to metal cutting refers to the magnitude of shearing process and the increase in specific energy with decrease in undeformed chip thickness. The specific energy is a fundamental process parameter, defined as the energy required to remove a unit volume of material [ 12 ]. It was first reported in the same volume of Transactions of ASME in 1952 as “The Size Effect in Metal Cutting” [ 8 ]. The elaboration of the specific-energy law was purely experimental, based on surface-grinding trials. Here, a dynamometer was fitted to a surface grinder to measure the tangential-force F t and normal-force F n components for four different types of grinding wheels. The force components were measured while varying the wheel depth of cut a , the workpiece speed v w , the wheel speed v s , and the grinding width b . Based on the observed grinding-force data, the following expression for specific energy was established:
where the numerator is the grinding power P , and the denominator the volumetric material removal rate Q w . The elegance of specific energy lies in its simplicity: not only can it be easily derived from the power (or force) measurements and grinding conditions, but it can also be associated with the three distinct abrasive mechanisms of rubbing, plowing, and cutting (shearing) – and hence the efficiency of material removal.
The 1952 work of Backer et al. [ 8 ] further defines the geometric relationship for the (wheel-workpiece) contact length:
where d e is the equivalent wheel diameter calculated as d e = d w · d s / d w ± d s = d s / 1 ± d s / d w . Here the plus sign in the denominator is for outside diameter (OD) grinding, the minus sign for internal diameter (ID) grinding, and d e = d s for straight (surface) grinding (as d w → ∞ ). Note that for practical use, there is no need to distinguish between the contact length l c and the cutting-path length l k as the difference is extremely small for typical workpiece v w and wheel v s speeds. The other fundamental parameter from [ 8 ] is the derivation of maximum undeformed chip thickness, or the “grit depth of cut”. The difficulty here is the need to determine the two wheel-topography parameters: (i) the number of cutting points per unit area, C ; and (ii) the ratio of width-to-thickness of undeformed chip (or chip-shape ratio), r . With these, the maximum undeformed chip thickness was defined as:
The role of chip thickness in grinding was originally investigated in 1914 [ 13 ] by George I. Alden of Worcester Polytechnic Institute. Alden co-founded the Norton Company. This work can likely be considered the first grinding-modeling paper. Alden derived a mathematical relationship for the “grit depth of cut” or chip thickness as a function of the grinding conditions for the case of cylindrical OD grinding. His model translates to maximum undeformed chip thickness as h m = 2 / n v w / v s a / d e using established symbols (as per [ 10 ]), where n is the number of cutting points per unit length of circumference. Note that the inverse of n corresponds to the cutting-point spacing L , which is a more established wheel-topography parameter. Such formulation of h m = 2 L v w / v s a / d e was adopted in 1943 in Germany by Pahlitzsch [ 14 ]. One can observe that Alden’s model includes a wheel-topography quantity n = 1 / L , next to the dimensionless value of v w / v s a / d e . This perhaps planted the early seed of overlooking the role of dimensionless numbers in grinding research and adding to the complexity of process understanding as Alden did not propose any convenient method of determining n . Later in Germany, researchers such as Peklenik adopted the h m model ( Eq. (3) [ 8 ]) and identified the importance and the role of geometrical ( l c , a ) and kinematical ( v w , v s ) parameters/ratios on process mechanics [ 5 ]. While the dimensionless parameter accounting for the process geometry and kinematics v w / v s a / d e was called “Spandickenkoefficient”, or chip-thickness coefficient by Werner [ 15 ], the early topography models used in the calculations of chip thickness usually included the spacing L , which was termed “Kornabstand” in German [ 16 ]. The focus, however, was on incrementally upgrading the wheel topography models with empirical constants – for example, to account for the non-uniform wheel topography. In this regard, Peklenik postulated that the cutting points are not equally spaced (i.e., L ≠ const . ) and do not protrude uniformly. This leads to topography-dependent grit depth of cut (undeformed chip thickness). In addition to the wheel topography, the number of active cutting points also depends on grinding conditions. The effect of the radial distribution of active cutting points (grit protrusion) on undeformed chip thickness was studied in detail by Kassen [ 6 ]. In his doctoral dissertation, he integrated the analysis of the “static” cutting-point density as determined from direct measurements of the wheel topography and the “dynamic” cutting-point density, C dyn , depending on process geometry and kinematics. To prove this further, Tigerström and Svahn [ 9 ] developed a measurement method to correlate the C dyn against v w / v s a / d e which proved that the number of active cutting points not only increases, but uniquely depends on this dimensionless number. In this respect, one would expect that researchers would subsequently analyze their grinding results against fundamental dimensionless values to capture the process geometry and kinematics and only extend analysis to undeformed chip thickness when necessary, such as for modeling and prediction of surface roughness. This was not the case, and the concerned dimensionless expression was only sporadically featured in grinding models, sometimes not given a specific name as in [ 17 ], when charting C versus 10 6 v w / v s a / d e for coarsely and finely dressed grinding wheels. At about the same time, Tigerström and Svahn charted C dyn (and the average cross-sectional area of chip A ) over a nondimensional quantity termed tan ε [ 9 ]. The authors derived tan ε for geometry and kinematics of various grinding operations, such as OD and ID, and for both up-grinding and down-grinding operations. The angle ε was originally adopted from Werner’s 1971 PhD thesis, where it was termed “Schneidenversatz-Grenzwinkels” [ 7 ]. Finally, Malkin adopted this quantity and called it the infeed angle ε (of material flow relative to a cutting point on the wheel periphery) [ 10 ]. The maximum value of the infeed angle is [ 7 ]:
but as ε is an extremely small angle, its average value ε ¯ halfway, the contact length equals tan ε ¯ = v w / v s a / d e [ 10 ]. It was not until 2008 that this dimensionless quantity was given a new name – the aggressiveness number, Aggr , introduced as [ 18 ]:
Here, a scaling constant of 10 6 was used to obtain more graspable numbers, just like in [ 17 ]. Aggr is constructed as ratios of kinematical v w / v s and geometrical a / d e quantities having the same dimension. When Badger coined the term Aggr , his goal was practical: to circumvent the necessity to measure or adopt topography parameters (i.e., C and r ). It was not until 2020, however, that the Aggr was derived from the first-principles kinematics of an arbitrary abrasive interaction (see Section 3 for more details).
What is surprising, however, is that in 1974, the “dimensionless” quantity v w / v s a / d e was superseded by a “dimensional” parameter, called the equivalent chip thickness, by Snoeys et al. [ 19 ]:
The motivation for introducing h eq was to circumvent the need of quantifying the wheel topography and to reduce the experimental effort. Another reason perhaps refers to the empirical legacy of grinding research that “requires” a dimensional value, despite its limited value to solve fundamental aspects of the process. The h eq can be interpreted as the “thickness of a continuous layer of material” (chip) being removed at a specific material removal rate Q w ′ and wheel speed v s [ 10 ]. Here, h eq , has nothing to do with a real chip thickness (e.g., measuring 0.7 μm); hence, this quantity should not be confused with the maximum undeformed chip thickness hm. Nevertheless, the equivalent chip thickness was “institutionalized” by the International Academy for Production Research (CIRP) in 1974 [ 19 ]. Its origins, however, can be traced to Kurrein in 1927, who termed this parameter in German as “Momentan-Spanquerschnitt”, Q mom , ges = v w / v s · a · b [ 20 ], which translates to instantaneous chip cross-section (measured in mm 2 ). Interestingly, Werner, who a year earlier charted grinding forces and surface roughness [ 15 ] over a dimensionless “chip-thickness coefficient” (i.e., Aggr ), charts the same grinding results over “bezogenen momentanen Gesamtspannungsquerschnitt” in his 1971 PhD thesis, Q mom , ges ′ = v w / v s · a (measured in mm 2 /mm) [ 7 ], which equals h eq . Nevertheless, Werner’s charting of the grinding forces and surface roughness values over h eq instead of Aggr did not improve the obtained correlation. This is further illustrated in Figure 1 , based on the data by Opitz and Gühring [ 21 ].
Surface finish versus (a) equivalent chip thickness and (b) aggressiveness number (data from [ 21 ]).
Here we can compare the parameters of equivalent chip thickness ( Figure 1a ) and aggressiveness number ( Figure 1b ). The Aggr , with a correlation value of 0.99, is clearly the most accurate. This result is in fact quite remarkable considering the large spread typically associated with measuring surface roughness. This is because the equivalent chip thickness does not consider the contact length (or equivalent diameter) and hence incompletely accounts for the process geometry and does not enable unambiguous comparison of different grinding operations (e.g., OD and ID). This observation is in direct contradiction with the statement of Snoeys et al. [ 19 ] that “using the basic parameter of h eq , grinding data may be represented in a much more concise form and the influence of some working conditions may be readily extrapolated from this kind of representation”. Now, to put this into a more general perspective, consider Newton’s second law from classical mechanics. Here, if one is to fundamentally describe the changes that a force does to the motion of a body, one needs to establish a relationship between the acceleration of an object a and its mass m . If a body has a force F acting on it, it is accelerated in accordance with the equation F = m · a . Therefore, to chart Newton’s laws of motion – it only makes more sense to chart F vs. a . In case of charting F vs. velocity v instead, one would get several lines instead of one (definite) fundamental line. This is an analogous case, if one is to chart Ra over h eq , instead of Aggr .
The introduction of equivalent chip thickness in 1974 led to empirical “curve-fitting”, such as Ra = R 1 h eq r and Q ′ w = Q 1 h eq q [ 19 ]. Based on this paradigm, a large number of empirical models were reduced to “basic models” [ 22 ], such as for:
Maximum undeformed chip thickness:
Surface roughness:
where C s is a constant for a given grinding wheel, C w is a constant for a given workpiece, and e 1 – e 3 are exponents which need to be determined experimentally for a given wheel-workpiece combination. The practical application of such empirical models is of course time-consuming. Moreover, the identification and quantifying of empirical distributions by fitting an approximately straight-line on a grinding chart (often on a logarithmic scale) [ 19 ] is nowadays obsolete. While recognizing that such grinding charts were once necessary and practical, they are by no means suitable for exploring the underlying process mechanics. In analyses of grinding results, for example, the distribution of specific energy over Q w ′ appears to follow a power-law. But upon a more careful analysis [ 23 ], it proves impossible to make a strong case for the fundamental correlation; here, the power-law distribution is not ruled out, but a competing distribution over Aggr offers a better fit to the data, as illustrated by comparison of Figure 2a and b .
Specific energy in inner-diameter and outer-diameter grinding versus (a) specific material-removal rate and (b) aggressiveness number [ 24 ].
During the last 30 years, several fundamental analytical problems have emerged in grinding research, which require new modeling approaches. Based on the above, it seems reasonable to revisit the role of Aggr as this dimensionless quantity has been featured in almost all analytical models since 1914 [ 13 ] as well as in empirical “basic” models [ 22 ]. Grinding research once more reached a point where dimensional parameters such as h eq are not the most appropriate, and dimensionless values can provide a better insight into fundamental process mechanics. The empirical legacy of grinding research, especially in Germany, may regard dimensionless approaches as too abstract or generalized, especially when the majority of grinding models were developed for a specific grinding operation (e.g., cylindrical OD grinding [ 13 ]).
The Theory of Aggressiveness [ 3 ] reduces to the assertion that any abrasive process (tool-workpiece contact) can be expressed in dimensionless form. We further claim that only if it is so expressed can the fundamental process mechanics be solved. The fundamental definition of aggressiveness is the ratio of the normal component v n and the tangential component v t of the relative-velocity vector [ 3 ]:
This fundamental parameter of the abrasive interaction is termed point-aggressiveness Aggr ∗ . It captures the essential process geometry by describing the surface of the abrasive tool by the vector field of surface normal n ⇀ at a point on contact surface (see Figure 3 ). Next, the fundamental process kinematics is embedded in the vector field of relative velocity v ⇀ (incorporating the kinematics of both the abrasive tool and the workpiece).
Surface normal and relative-velocity vector with its components [ 3 ].
In other words, Aggr ∗ is the ratio of the component of velocity acting normal to the point of contact v n to the component of velocity acting tangential to the point of contact v t , which hence quantifies interaction between the abrasive tool and the workpiece in terms of geometry and kinematics at any given point on the abrasive-tool surface. This concept can be applied to any grinding process if the process geometry ( n ⇀ ) and kinematics ( v n , v t ) are mathematically described for an arbitrary contact point. The fundamental outcome of the Theory of Aggressiveness is derived from the general definition of the specific energy ( Eq. (1) ) obtained from the grinding power and the material removal rate. The specific energy depends on the process geometry and kinematics, which is bundled into the Aggr ∗ . According to Eq. (9) , the shear at any point in the abrasive contact can be calculated as τ = u · Aggr ∗ . This is consistent with the model of Backer and Merchant [ 1 ] for tangential force, which is proportional to specific energy and instantaneous undeformed cross-sectional area of mean chip A , measured in a plane normal to the cutting velocity (where A = Aggr ∗ / C ).
The simplified quantity needed for optimization of grinding operations is the aggressiveness number, Aggr = v w / v s a / d e ( Eq. (5) ), which is the average point aggressiveness ( Aggr ∗ ) in each abrasive contact. In operations with a trochoidal cutting path (such as surface, external, and internal cylindrical grinding), the point aggressiveness increases from zero to its maximum value, as in undeformed chip thickness. Here, the maximum point aggressiveness is double the aggressiveness number, i.e., 2 · Aggr . In operations with a linear path (such as face grinding, cup-wheel grinding, and cutting-off grinding), the aggressiveness is constant throughout the cut, such that Aggr max ∗ = Aggr . In summary, the aggressiveness number, Aggr , gives the overall geometrical-kinematical characteristic of the abrasive contact, quantifying the abrasive interaction.
The Theory of Aggressiveness does not incorporate wheel-topography parameters, and the focus is solely on geometry and kinematics as the application of the aggressiveness number fully captures the correlation to process outputs such as specific energy, tool wear, and surface roughness, as shown in Figure 4 . In a case where abrasive-tool properties need to be accounted for, then Aggr ∗ should be replaced with h m , by simply adding the two parameters of a wheel topography, i.e., h m = 4 / C · r Aggr ∗ .
Role of aggressiveness number in abrasive-process modeling [ 3 ].
The theory of aggressiveness is a unifying modeling framework that quantifies the fundamental mechanics of any abrasive interaction for any arbitrary process geometry and kinematics. The fundamental dimensionless parameter of the theory of aggressiveness is the point-aggressiveness, Aggr ∗ , which is defined as the ratio of the normal and the tangential component of the relative-velocity vector at a given point on the abrasive-tool surface. Geometrically, the point aggressiveness can be interpreted as the tangent of an angle at which a given point of the workpiece penetrates into the abrasive tool. The overall geometrical-kinematical characteristic of the abrasive contact is quantified by the aggressiveness number, Aggr , defined as the average point aggressiveness over the entire abrasive contact.
The authors recently published a conference paper to demonstrate how the concept of dimensionless aggressiveness number applies to most common process geometries and how it can be used to achieve practical results in a variety of applications [ 23 ]. For this, numerous grinding and dressing data were taken from literature and from our own work in production facilities. In addition, formulas were provided to calculate Aggr using only the parameters that can be readily altered on a machine: for surface (straight) grinding, cylindrical-plunge grinding, cylindrical-traverse grinding, face grinding, cup-wheel grinding, cutting-off grinding, and vertical-spindle grinding. Nevertheless, the applications and impacts of using Aggr to optimize industrial grinding operations are not yet summarized. Therefore, the summary of major case studies is given in subsections below.
In camshaft grinding, an OD cylindrical grinding machine moves up and down during a single revolution of the workpiece to create the non-round cam shape. This is a complex grinding process that is characterized by transient geometry and kinematics [ 25 ], as shown in Figure 5a .
(a) Geometry and kinematics of cam-lobe grinding and (b) output workpiece rotational speed for different process-control strategies, including the constant-temperature [ 26 ].
For example, the surge in material-removal rate on the cam-lobe flank causes a surge in workpiece temperature, which can result in localized grinding burn. Moreover, this surge produces higher normal forces, causing the machine to deflect, resulting in form errors on the ground cam lobes [ 26 ]. These surge issues drove the machine builders to develop and implement various cycle-optimization methods such as (i) grinding with constant speed [ 27 ]; (ii) grinding with constant specific material-removal rate, Q w ′ [ 28 ]; and (iii) grinding with constant power, P [ 29 ]. The last two cycle-optimization algorithms are commonly provided with machine tools and embedded in their computer numerical control programs. Unfortunately, they do not fully solve the issue of grinding burn as they do not consider grinding temperature as the input to optimization. Research into non-round cylindrical grinding demonstrated that the incorporation of thermal modeling to run the process at a temperature just below the burn threshold leads to a much shorter grinding time compared to other optimization strategies [ 30 ]. The concept of constant temperature – based on analytical thermal models (initially developed for non-round cylindrical grinding [ 31 ]) and using the Theory of Aggressiveness – has been adopted to cam-lobe-grinding geometry and kinematics [ 26 ]. It was assessed against the constant- Q w ′ and the constant- P methods in industrial production. Figure 5b shows how the workpiece rotational speed decreases during the surge region and increases during the cylindrical region, speeding up and slowing down during each workpiece revolution. It can also be seen that the previous control algorithms decreased the workpiece speed more than necessary, which led to longer cycle times and greater time in the high-temperature zone, increasing the risk of grinding burn.
The experiments confirmed that the constant- θ m process provides the shortest cycle time and the lowest risk of grinding burn. The measured cycle time decrease was 18% compared to the constant- Q w ′ process and 36% compared to the constant- P process. The end result was a significant increase in production capacity. In a representative production case in the automotive industry, the constant- θ m process gave an approximate 50% increase in the production capacity, measured as the number of camshafts produced per day. The process underwent a rigorous Production Part-Approval Process (PPAP), followed by patenting [ 32 ] and then implementation in Scania’s production lines in Sweden and Brazil.
Unlike camshaft grinding, limited research is available about the fundamental process mechanics in crankshaft grinding. Grinding of crankshafts ( Figure 6a ) with vitrified cBN wheels has been the industrial state of the art for the past 15–20 years. The challenge in crankshaft grinding is the changing process conditions across the wheel profile. The contact length increases significantly when grinding the sidewall, while the aggressiveness varies across the grinding-wheel profile. This can lead to grinding burn on the sidewall and excessive wheel wear within the radius. To address this challenge, machine builders developed and patented several methods for determining the feed increments. The two most common methods – implemented on Junker and Fives Landis machines, respectively – include: (i) radial-plunge grinding for roughing [ 35 ], where the grinding wheel plunges radially into the crankpin sidewall; and (ii) angle-plunge grinding, where the wheel plunges simultaneously into the crankpin both radially and axially, with increments that can be varied between roughing and finishing [ 36 ].
(a) Crankshaft [ 33 , 34 ] and (b) maximum surface temperature along the crankpin profile [ 33 ].
Our research into the fundamental aspects of crankpin grinding was based on analytical modeling and analysis of process geometry, kinematics, and temperatures [ 33 ]. The kinematics of crankshaft grinding are similar to non-round cylindrical grinding [ 25 ] because of the crankpin’s eccentricity. In contrast to camshaft grinding, however, the rotational frequency of the workpiece is constant. The implementation of a constant-temperature process [ 26 , 30 ] was demonstrated in crankshaft grinding as well. Here, the thermal modeling requires the experimental determination of the specific energy in the workpiece [ 25 ]. This characteristic curve captures the effects of the workpiece material, grinding wheel, dressing, cooling, etc. The predicted maximum surface temperature along the wheel profile ( Figure 6b ) shows that the maximum temperature (set at 550°C) is reached at two critical contact points: on the radius and on the sidewall [ 33 ]. In summary, the temperature-controlled crankshaft-grinding algorithm determines the grinding increments so that a predetermined burn threshold is matched in these two critical points [ 37 ].
The grinding cycle analysis revealed that the temperature-based method is superior to the reference radial-plunge grinding method in terms of (i) productivity (minimum 25% improvement), (ii) the ability to avoid grinding burn [ 33 ], and (iii) increased the dressing intervals. The constant-temperature method was patented by Scania and subsequently implemented in production lines [ 37 ].
Cutting tools such as sawblade tips and cutting inserts are often ground with cup wheels. Cup-wheel grinding can be divided into two types: (i) plunge grinding and (ii) traverse grinding. In plunge grinding, the workpiece is plunged either radially into the wheel on the outer-diameter face or axially on the bottom face. In addition, the workpiece may be oscillated back and forth. This is a form of face grinding, and the primary input is the feed rate. In traverse grinding, a fixed depth of cut is taken, and the workpiece is traversed across the bottom face of the wheel. Here, the primary inputs are the depth of cut and the feed rate. In addition, the infeed will be either on one side of the wheel or on both sides. The Theory of Aggressiveness was first applied to the traverse grinding operation of sawblade tips, which was implemented on a machine by VOLLMER WERKE Maschinenfabrik. During traverse grinding, the diamond wheel is trued with a silicon-carbide or aluminum-oxide truing wheel. Typically, this truing action is performed perpendicular to the axis of rotation. This is shown in Figure 7a . As a result, when grinding commences, all of the grinding action occurs on the leading outer-diameter edge of the wheel. During this time, the Aggr is enormously high, and the wheel soon wears away to develop a taper, as shown in Figure 7b . The grinding action then occurs on this taper, and the Aggr decreases drastically. This taper eventually encroaches on the trailing edge of the wheel. At this point, the surface finish becomes poor, and the wheel is sent for truing, where the cycle begins again. If the infeed is set to occur on both sides of the wheel, two tapers develop, meeting in the middle of the wheel. This is shown in Figure 7d . A taper, along with flat, can also be trued into the wheel, as show in Figure 7c .
Taper geometry in traverse cup-wheel grinding [ 38 ].
After the taper breaks in, the grinding action shifts from the front face to the taper. Here, the aggressiveness number on the taper is Aggr = v w / v s sin α taper . To gain a better understanding of the process, specific energy was plotted vs. the aggressiveness number. This is shown in Figure 8 . Because the specific energy was transient – due to grit dulling and/or loading – the range of values is plotted with an arrow indicating whether they increased or decreased throughout the test. The results show that specific energies were higher at lower Aggr . More importantly, when the transient condition is considered, the differences in specific energy are drastic, with very high values of 1900 J/mm 3 . In addition, self-sharpening of the wheel was very poor at the low Aggr . This has important implications in terms of the operator’s choice of speeds and feeds. Typically, when an operator experiences a problem – for example, burn – his first reaction is to decrease the feed rate (parameter set 2). This may initially help the situation. However, the poor self-sharpening means that specific energies will rise drastically and eventually exacerbate the problem. On the other hand, a higher Aggr (parameter set 3) can lead to larger wheel wear and smaller G-ratios. Therefore, it seems optimal to run the process in the “sweet spot”, associated with the initial (parameter set 1) grinding conditions. The grinding sweet spot, hence, refers to grinding conditions where the specific-energy curve straightens out [ 39 ]. This approach can be used to optimize any grinding operations, with a common need to experimentally determine the specific energy vs. Aggr curve.
Specific energy versus aggressiveness number in grinding of cermets with diamond [ 38 ].
The concepts learned from grinding of sawblade tips can be easily translated to the grinding of cutting inserts with diamond cup wheels. In this case, one could implement a constant- Aggr grinding process, which might help solve dissimilar wheel loading and wear. For this, the geometry and kinematics need to be determined for any given contact point around the insert circumference, similar to the case of modeling contact conditions in cam-lobe grinding.
Another successful application of the Theory of Aggressiveness refers to optimizing wheel lift-off in flute grinding [ 40 ], as shown in Figure 9 . During grinding, when the wheel lifts away from the workpiece (or vice versa) before coming to the end of the workpiece, it is referred to as lift-off in grinding. The most common workpieces that experience lift-off are drills and endmills. In this work, we investigated the phenomenon of end-of-cut power surge in flute grinding, a phenomenon that causes thermal damage and long cycle times.
Illustration of flute grinding [ 40 ].
To solve the issue, a geometric and kinematic model was developed to analyze the lift-off phenomenon. The theory was further upgraded with a thermal-model-based optimization method for achieving a constant maximum surface temperature, resulting in shorter cycle times and lower risk of thermal damage. Thermal modeling is especially challenging in this case as the curved surface in flute grinding means that heat will flow to either side of the flute. Therefore, an investigation was made into the effect of side conduction on grinding temperatures. The Theory of Aggressiveness can be applied to determine the optimum strategy and parameters for lift-off, namely the infeed velocity, with the goal of (i) preventing thermal damage; (ii) minimizing an increase in Aggr and, consequently, wheel wear; and/or (iii) reducing grinding time. The constant-temperature method is one example of flute-grinding optimization and is conceptually the same as in camshaft and crankshaft grinding, where the approach is to hold the maximum surface temperature constant. This resulted in reducing the cycle time by 18.5%. Another optimization goal was to choose the velocity profile during the slowdown to give a constant Aggr (as exemplified in insert grinding). This means the forces on the individual grits would not vary drastically, resulting in more uniform wheel wear and surface finish. The cycle-time reduction in this case was 17.5%. To summarize, the application of the Theory of Aggressiveness in flute grinding involved describing the analytics behind the increasing depth of cut and the accompanying power surge and then successfully modeling the power surge with measured power profiles in a production environment. Machine builders can now implement this in their machines to choose the correct slowdown positions and slowdown rates, leading to a lower risk of grinding burn and shorter cycle times.
The Theory of Aggressiveness was recently implemented in collaboration with SKF, a Swedish bearing manufacturer [ 41 ]. The objective was to model free-rotation double-disc grinding of bearing components with the goal of avoiding (i) workpiece rotational speed, and (ii) thermal damage, which occurs at high free-rotation workpiece rotational speed. While double-disc face grinding is widely used in the industry, limited research has been published on it. In double-disc grinding, the workpiece rotation can be driven externally, as in a process with planetary kinematics. In the case of a self-rotating process, the sleeve/bushing is used to hold the workpiece, and the workpiece rotation is caused by grinding forces from the two grinding wheels. Here, both workpiece faces are ground with a fixed infeed. The self-rotating process is challenging to control as one of the process parameters defining the grinding mechanics (i.e., workpiece rotational speed) is also one of the process outputs.
Advanced modeling was required to obtain a fundamental insight into the process mechanics. This was based on the distribution of the point-aggressiveness, Aggr * in the grinding zone, defined as a scalar field that incorporates the process geometry and kinematics at every point in an abrasive contact. Figure 10 illustrates a (cylindrically) symmetric grinding situation with a workpiece “beneath” the grinding wheel. The Theory of Aggressiveness was used to predict the resultant grinding force, F w , and the resultant workpiece moment, M w . The workpiece rotational speed, ω w , which is an unknown parameter depending on the grinding force and the grinding moment, can be calculated by solving the moment-equilibrium equation – as detailed in [ 41 ].
Illustration of aggressiveness distribution and corresponding mechanics of self-rotating double-disc grinding [ 34 ].
The Theory of Aggressiveness was used to develop a truing editor for Rush Machinery [ 42 ], an American diamond-wheel truing machine builder. The end result was an HTML5-based online program to help users choose the optimal truing wheel and truing parameters to reduce cycle times and truing-wheel consumption [ 2 ]. In truing of diamond wheels, one typically uses a silicon-carbide or aluminum-oxide wheel to “grind” a diamond wheel in order to make it round (i.e., true). Since diamonds are enormously hard, truing is a painfully inefficient process. For every cubic millimeter of diamond wheel, trued away, somewhere between 6 and 100 cubic millimeters of truing wheel are consumed. This is a slow, tedious process. Unfortunately, very little research has been reported about the fundamentals of truing. Some general guidelines on truing-grit size and abrasive type have been given in handbooks and in catalogs by grinding-wheel manufacturers. However, these reports do not give any information on how these recommendations were arrived upon, nor on the fundamental mechanisms of material removal when the truing-wheel abrasive contacts the diamond. This work was hence undertaken to advance the state of knowledge of the truing geometry, kinematics, and removal mechanisms.
Truing is performed by traversing a truing wheel at a specified truing depth, a T , truing overlap ratio, U T , and truing traverse velocity, v fa,T , with infeed before both the forward and the reverse stroke. The aggressiveness number for truing is calculated as:
where q T is the truing speed ratio (i.e., ratio between the diamond wheel speed and truing wheel speed), which has 0 < q T < 1 values in uni-directional truing and q T < 0 in anti-directional truing; and d e is the equivalent diameter (as in grinding). Since (i) truing efficiency depends on Aggr , (ii) specific truing energy increases with truing-grit size, and (iii) truing shear appears to be the dominant indicator of truing efficiency η T , the authors were able to incorporate both Aggr and grit sizes into a unifying equation of truing efficiency, encompassing all the process inputs into a single relationship – the dimensionless truing compliance number Γ T = Aggr · d g , T / d g , D 2 , where d g , T is the truing-grit diameter and d g , D is the diamond-grit diameter. Based on this, a strong linear relationship can be observed for an enormously wide range of truing-grit sizes and truing parameters, as shown in Figure 11 . In this way, a novel fundamental characteristic is obtained, which correlates the geometrical and kinematical inputs (i.e., Aggr ) with the truing efficiency.
Truing efficiency versus truing compliance number [ 2 ].
Finally, all mathematical models of the applied Theory of Aggressiveness were embedded in a software tool for optimizing the needs of the end-user, be it shorter cycle times, less truing-wheel consumption, lower truing forces, or all the above. The authors also took into consideration the hardness of the truing wheels. Software that uses HTML5 code can run in a web browser anywhere on any device. Web apps may also be “packaged”, meaning they can be bundled with the app and thus can be distributed to a mobile device through app stores. A screenshot of a developed web-based truing editor is shown in Figure 12 .
Truing editor for online optimization of a truing process [ 42 ].
Various aspects of grinding theory have been reviewed with the overall objective of improving and optimizing grinding operations. The emphasis has been on presenting applications of a recently developed Theory of Aggressiveness, next to providing a comprehensive evaluation and comparison to the classical models developed mainly in the United States and Germany. The point aggressiveness Aggr ∗ is shown to be the “first-principle” parameter that comprehensively accounts for any process geometry and kinematics and fundamentally relates them to specific energy and shear required for material removal (cutting). Its mean value, quantified by a dimensionless aggressiveness number Aggr, is then used to optimize diverse abrasive processes ranging camshaft and crankshaft grinding, saw-tip grinding, flute grinding, double-disc grinding, and diamond-wheel truing – without the need to measure/quantify the wheel topography or other wide-ranging empirical relationships. The application of Aggr has also been proven to be an effective aid for machine operators in making quick calculations on the shop floor when optimizing grinding operations and troubleshooting problems. The optimization concept based on the Theory of Aggressiveness has hence been used in the high-end industry for several years, while some of the models (e.g., truing editor) have recently been translated into HTML5 language to enable the software-based process optimization via the World Wide Web.
The Theory of Aggressiveness, along with all presented process models and case studies, was developed under the umbrella of The International Grinding Institute ( http://grindinginstitute.com ), incorporated with the Texas Department of State in 2014.
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This work has been funded by ANR Project PER4MANCE ANR-18-CE10-0007.
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Lovato, D., Guillaume, R., Thierry, C. et al. Aircraft final assembly line scheduling with user preferences and equity of work distribution. Flex Serv Manuf J (2024). https://doi.org/10.1007/s10696-024-09566-6
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The Theory of Aggressiveness, along with all presented process models and case studies, was developed under the umbrella of The International Grinding Institute ... Proceedings of the ASME 2014 International Manufacturing Science and Engineering Conference; 9-13 June 2014; Detroit, Michigan, USA. New York: ASME; 2014. DOI: 10.1115/MSEC2014-3993
The GE Global Research Center sought out a powerful and flexible tool to analyze, not just the specific process, but the manufacturing system as a whole. A library of case studies showing how simulation modeling works in multiple industries. See how companies provided effective solutions to real-world challenges by using AnyLogic simulation ...
The second case study has been realized on the data provided by our industrial partner with the assembly process including 265 tasks with 479 general precedence relations, 200 aircraft zones and 10 operators (6 assemblers mastering skill S1, 4 inspectors mastering skill S2). First, the optimal staircase makespan of 2 days has been obtained.