School of Engineering Department of Mechanical and Manufacturing Engineering Creating a Digital Twin of a smart cutting tool system Parth Mahajan 17317419 April 2019 A dissertation submitted in partial fulfilment of the degree of BAI (Mechanical and Manufacturing Engineering) Parth Mahajan | 17317419 Declaration I have read and I understand the plagiarism provisions in the General Regulations of the University Calendar for the current year, found at http://www.tcd.ie/calendar. I have also completed the Online Tutorial on avoiding plagiarism ‘Ready Steady Write’, located at http://tcd‐ie.libguides.com/plagiarism/ready‐steady‐write. Signed i Parth Mahajan | 17317419 Abstract The changing trends in the machining industry and the introduction of smart manufacturing has increased market competitiveness. The demand for New Product Development, and providing faster services demands the need for new solutions. The concept of industry 4.0 focusses on custom mass production and flexibility in production quantity. To cater to such needs, the concept of Cyber Physical Systems along with Smart Manufacturing gives rise to the idea of Digital Twin. This research focuses on the creation of a Digital Twin for a CNC machining cutting tool. In most machining processes, sensors are used to quantify the process. If a Digital Twin is created of the system, the sensors will inform the Digital Twin and a much clearer picture of the process can be obtained. In order to create a Digital Twin, a methodology has been developed in project. It involves evaluating various designs and carrying out a sensitivity analysis. Three designs have been modelled and tested using FEA analysis in order to evaluate the strain that occurs on them. The designs are rather fundamental and not complicated. The material chosen for the cutting tool is structural steel or High-Speed Steel (HSS), with an elastic modulus of 200,000 N/mm2. The cutting tool designs have been modelled as a cantilever beam by adding a fixed support to the end that lies inside the tool post. The strain has been evaluated at a location which has been constant but the length of the cutting tool has been increased from 50mm to 80mm with an increment of 10mm each. A modification in design 3 evaluates the impact on the cutting tool when some material is removed from the cutting tool. This has been done in order to accommodate for a strain gauge that may be installed in that location. The design 3 further evaluates the impact of increasing length for various cutting forces. The cutting forces that occur are due to various factors such as feed rate, cutting speed and depth of cut. These forces can be extremely high subject to these parameters and hence a range of 500N to 3000N with an interval of 500N has been chosen. The testing of these designs has been done analytically which has shown positive results. Hence, a Digital Twin has been successfully created for a smart cutting tool system. The trends observed show that the increase in the overhanging length or the length of the cutting tool results in an increase in strain. The deformation also tends to increase with the increasing cutting length and hence validates with the literature which talks about the increasing deflection with the increase in cutting tool length. The physical testing of these results is not in the scope of this project and can be done as an individual research project and has been left for further research. Keywords: Digital Twin/Smart Manufacturing/Smart cutting tool/ Cutting forces/ Strain/ Cantilever Beam/ Overhanging length ii Parth Mahajan | 17317419 Acknowledgements I would sincerely like to express my gratitude to Dr. Garret O’ Donnell for his constant guidance, support and feedback. I would also like to thank my family and friends for their valuable support and encouragement. iii Parth Mahajan | 17317419 Contents Declaration ........................................................................................................................... i Abstract ............................................................................................................................... ii Acknowledgements ............................................................................................................ iii Contents ............................................................................................................................. iv Nomenclature .................................................................................................................... vi 1. Introduction .....................................................................................................................1 1.1 Cyber Physical Systems (CPS) ...............................................................................1 1.2 Digital Twin Concept ............................................................................................2 1.3 Research Context……………………………………………………………………………………………….3 1.3.1 Research Objective……………………………………………………………………………………….3 1.3.2 Overall Approach…………………………………………………………………………………………..4 2. Literature Review……………………………………………………………………………………………………….5 2.1 CNC Machining……………………………………………..……………………………………………………5 2.1.1 2.2 2.3 2.4 Turning Process…………………………………………………………………………………………6 Cutting Tool………………………………………………………………..……………………………………..7 2.2.1 Cutting tool material…………………………………………………………..……………………7 2.2.2 Tool Wear………………………………………………………………..………………………………8 2.2.3 Impact of forces on a cutting tool………………………….……………………………..….8 Modelling of a cutting tool……………………………………..…………………………………………9 2.3.1 Linear Elastic Beam Model for Tool Deflection……………………………………….10 2.3.2 Impact of longer tool length………………………………………..…………………………10 2.3.3 Use of ANSYS in Digital Twin..…………………………………………………………………11 Analytical Concept…………………………………………………………………………………………..12 3. Methodology……………………………………………………………………………………………………………15 3.1 Design Modelling……………………………………..…………………………………………………….15 3.2 Finite Element Analysis………………………………………..…………………………………………16 3.3 Analytical Model…………………………………………………………………………………………….17 3.4 Validation…………………………………….…………………………………………………………………18 4. Design Investigations………………………………………..……………………………………………………..19 4.1 Design 1………………………………………………………………………………………………………….19 iv Parth Mahajan | 17317419 4.2 4.3 4.1.1 Constraints and forces………………………………………………………………………….19 4.1.2 Strain measurement for various lengths……………….…………………………..…20 4.1.3 Strain Vs increasing lengths for various forces.…………………………………….21 4.1.4 Deformation Vs increasing length ad deformation vs stick out distance 22 4.1.5 Analytical Validation………………………………..…………………………………………..24 4.1.6 Discussion on Design 1…………………………………………………………………………25 Design 2…………………………………………………………………………………………………………25 4.2.1 Constraints and forces………………………………………………….………………………25 4.2.2 Strain measurement for various lengths…….…………….………………………….26 4.2.3 Strain Vs increasing length for various forces…………….…………………………27 4.2.4 Analytical Validation………………………………………………….…………………………28 4.2.5 Discussion on design 2……………………………………………….…………………………28 Design 3……………………………………………………………………………………………………….29 4.3.1 Constraints and forces…………………………….……………………………………………29 4.3.2 Strain measurement for various lengths …….……………………………………….30 4.3.3 Strain Vs increasing lengths for various forces..……………………………………31 4.3.4 Deformation for various Cut out distances……….………………………………….32 4.3.5 Analytical Validation………………………………………….…………………………………32 4.3.6 Discussion on Design 3……………………………………….………………………………..33 5. Conclusion……………………………………………………………………………………………………………….34 References……………………………………………………………………………………………………………………36 v Parth Mahajan | 17317419 Nomenclature CPS Cyber Physical Systems DT Digital Twin CNC Computer Numeric Control CNCMT Computer Numeric Control Machine Tool MES Manufacturing Execution Systems ERP Enterprise Resource Planning PLM Product Lifecycle Management 0 Parth Mahajan | 17317419 1 Introduction Human needs are constantly changing with the technological advances as they develop faster and faster. As they are entering the fourth industrial revolution, it is supported by the concept of “Industry 4.0”. Figure 1.1 below shows the benefits of each revolution. The first industrial revolution improved the quality of life, the second allowed mass production and the third, flexible production. The manufacturing area needed to pass through these other revolutions before finding a way to adapt its processes to human lives today. That is why the fourth revolution is now getting the possibility of “flexible mass custom production and flexibility in production quantity”. [1] Figure 1.1 Progression of the Industrial Revolution over the past 2 centuries [1] The fourth industrial revolution makes interaction with the virtual and the physical world easier through the introduction of the Cyber Physical Systems (CPS). 1.1 Cyber Physical Systems Cyber physical systems are systems that are integrations of computation, networking and physical processes. Basically, embedded computers and networks monitor physical process with feedback loops where physical processes affect computations. For example, highly calibrated sensors in an area in a city could record the CO2 levels in the air, should that level rise above a certain point, an alert will be sent, and an effort can be made to neutralize the surplus CO2. This type of technology has economic and societal potential that is far greater than originally thought while it was first being researched [2]. With the introduction of CPS, comes in the concept of smart manufacturing which makes complex designs and real-time data sensing possible. This concept leads to time saving and cost reduction, providing a method to interact within the virtual and physical world. Smart manufacturing is an interdisciplinary technology integrating sensing and analysis of 1 Parth Mahajan | 17317419 production information, representation of experience and knowledge as well as intelligent decision-making based on these information, data, experience and knowledge [3,4]. The industrial processes need to extract the maximum potential from the simulations performed [5], one of the most important being the accuracy of the simulation results. In the manufacturing scenarios, the simulation of the machining processes provides measurable benefits for the manufacturing industries, as a lot of resources and energy can be saved and the workers safety can be increased if the machining processes are optimised. In recent years, with the requirement of smart manufacturing mode, developed from the CPS concept, the appearance of Digital Twin (DT) [6,7] technology provides an effective resolution to integrate the physical world and the information world. 1.2 Digital Twin Concept Digital twin is a combined ‘’multi-physics, multi-scale and probabilistic simulation technique’’ which enables the mirroring of its physical twin. It adopts the best applicable physical models, sensor updates etc. to achieve this [8]. The concept of the digital twin was primarily introduced by John Vickers and Dr Michael Grieves in 2014 [9]. Since the establishment of Digital twin, many experts have tried to introduce an explicit definition for the term [10]. From Figure 1.2 below which shows a table, digital twin reflects two-way dynamic mapping of physical objects and virtual models [11]. By building digital twin system that integrates the manufacturing process, the innovation and efficiency from product design, production planning to manufacturing implementation, can be effectively enhanced [12]. Figure 1.2 The understandings for Digital Twin from 8 famous companies DT is a complete virtual prototype of an entire system, which can real-time reflect the all life cycle of physical device or product. With DT, requirements of multiple engineering disciplines are integrated and system level simulation and self-decision can be done based on its real-time mapping data in the entire lifecycle. Computer Numeric Control Machine Tool (CNCMT), which is the mother machine of industry [13] is an important equipment in smart manufacturing. 2 Parth Mahajan | 17317419 In order to better explain the concept of DT, figure 1.3 shows an example of how it can be implemented in a manufacturing environment where Computer Numeric Control (CNC) machines have been installed. For a DT driven product manufacturing example, figure 1.3 shows how a drive shaft which is a mechanical component for transmitting torque and rotation, commonly applied in speed reducer can be manufactured using the integration of real time data storage of the physical instrumentation and the virtual data that is preinstalled into the supply chain. Figure 1.3 Drive Shaft Manufacturing based on Digital Twin [14] The digital twin refers to the physical production factors (i.e., steel bars, CNC machine, finished/semi-finished drive shaft, machine operator, shop floor environment), their corresponding models (i.e., virtual production factors), and the digital twin data. Digital twin data includes the physical data collected from sensors or numerical control systems installed in the physical machining shop floor, the virtual data read from the virtual models as well as the existing information systems (i.e. MES, ERP, PLM), and the data ties the two parts together. [14] 1.3 Research context In high end manufacturing processes such as machining of biomedical implants or aeroengine components sensor systems can quantify the process. However, in many cases the sensors can only quantify part of the process details. If a Digital Twin is created of the system, the sensor data can inform the Digital Twin and then a more complete picture of the process can be developed. This project will involve the FEA of tooling systems in order to develop a digital twin of a smart cutting tool system. 1.3.1 Research Objective The aim of this research is to create a Digital Twin of a smart cutting tool system. 3 Parth Mahajan | 17317419 The specific objectives include: • • • Preparing a summary state of the art and literature review Developing a methodology for designing the digital twin Evaluating a number of digital twin designs and carrying out a sensitivity analysis 1.3.2 Overall approach The project is based on the physical factors, that is the CNC machine data and the DT data that is required for the cutting tool of a CNC machine. A basic cutting tool model of a 2-axis CNC machine will be considered for the project, which can be replicated on ANSYS 18.0 so as to evaluate the strain for different lengths that is experienced by the cutting tool due to the cutting forces. The directional movement of the cutting tool with respect to the workpiece can be seen in figure 1.4. The project focuses on the strain developed at a particular location so as to make it feasible for the setup of sensors. The strain values have been observed for increasing lengths of the cutting tool using a strain probe in ANSYS model. (a) Component held by a chuck for the machine to attain zero point and (b) position of the cutting tool with respect to the workpiece Figure 1.4 Depiction of cutting tool directional movement with respect to the workpiece The strain and deflection because of the increasing lengths for the cutting forces on the cutting tool can be sensed by the strain gauges and dynamometers which will be connected to the cutting tool for physical testing. But the application of strain gauge sensors and physical validation of the simulation results have not been done as part of this project. The validation is not in the scope of this project and can be carried out as future research using the results and observations from this project. 4 Parth Mahajan | 17317419 2 Literature Review With the changing landscape of technologies in this era of Industry 4.0, Simulation and Digital Twin have become an asset, adding value to the process of New Product Development. It not only speeds up the process, but even saves money that is spent on gathering resources such as raw materials, performing machine setups etc. Ease in innovation, acceleration in time for the product to reach the market, and product maintenance evaluation are a few opportunities that this simulation driven approach offers. These factors play an important role in the industrial environment and the creation of a Digital Twin helps in assessing all the parameters through simulation. 2.1 CNC Machining Computer Numerical Control or CNC refers to a method of removing material, or “shaping”, a workpiece by using a set of coded commands to control the actions of a machine. CNC can be used on a fixed or rotating workpiece where the drill bit moves in multiple dimensions depending on the machine in use. [15] Features of a CNC machine includes: • • • • • The functions of the machine tool which are partly or fully taken over by a dedicated computer (i.e. fully automated/computer controlled) A micro or minicomputer, which is assigned to the machine tool. The movements of the machine components, that are programmed and controlled by a set of coded instructions in the form of numbers or letters The program, that may be prepared by a programmer or obtained from drafting software (e.g. AutoCAD) The code can be modified and displayed on the machine, along with a simulated view of the outcome The availability of small computers with large memory capacities and program editing capabilities that have popularised the use of CNC systems widely. Figure 2.1 below shows the 2-axis CNC machine with the marked constituents of the machine. The workpiece is held by the manual chuck and the cutting tool by a tool post. 5 Parth Mahajan | 17317419 There are 2 different coordinate systems that are used by the tool for travelling in different directions. The absolute system and the incremental system. Absolute system: This system is consistently referenced to a fixed point in the drawing. This point has the function of a co-ordinate zero point. It is defined in x and z. [15] Incremental system: In this system, every measurement is considered from the previously dimensioned position. It uses incremental dimensions that refer to the distance between adjacent points. It is defined by u and w. The Numeric Control (NC) code are written in a language called the G-code and M-code using these coordinate systems. A CNC machine can carry out various machining processes using a set of various cutting tools as per the required job, but the most common and widely used is the turning process. 2.1.1 Turning Process During the Turning process, a single point cutting tool is used to remove the material from the rotating workpiece as can be seen in figure 2.2. The cutting tool is fed parallel to the axis of rotation of the workpiece. Figure 2.2 Turning process of material removal [16] The feed rate or the speed at which the tool is fed into the workpiece varies as per the material of the workpiece and the cutting tool itself. Two of the most commonly used cutting tool used in turning can be seen in figure 2.3 below. One of them could be used for the outer turning process and another for the process of boring or for internal turning of the workpiece. Figure 2.3 Turning process cutting tools 6 Parth Mahajan | 17317419 2.2 Cutting Tool A cutting tool is a sharp pointed tool that is used for the material removal process in CNC machining. It can either have one edge or tip that could be used for cutting or various edges that could be used for the process of removing material from the rotating workpiece. Although all cutting tools serve one purpose, to cut through a material, there is a huge difference between them. [17] Normally, for a cutting tool to be effective, it has to: • • • • • • be 30% to 50% harder than the material it will work on be easily fabricated have high thermal conductivity have low coefficient of friction be very resistance to wear be chemically inert and stable The cutting tool material plays a crucial role in determining the input parameters of speed at which the workpiece rotates, feed rate, depth of cut etc. Figure 2.4 shows the anatomy of a cutting tool. Figure 2.4 Anatomy of a cutting tool [18] 2.2.1 Cutting Tool Material • • • • • High Speed Steel or Structural Steel: High Speed Steel is the most economical material to use that can be manufactured into any type of tool needed. High Speed Steel works well on all materials and can be coated to provide even better performance. Cemented carbide: The most common material used in the industry today. It is offered in several “grades” containing different proportions of tungsten carbide and binder (usually cobalt). High resistance to abrasion. Cermet: Another cemented material, based on titanium carbide (TiC). Binder is usually nickel. It provides higher abrasion resistance compared to tungsten carbide at the expense of some toughness. Extremely high resistance to abrasion. Ceramics: Chemically inert and extremely resistant to heat, ceramics are usually desirable in high speed applications, the only drawback being their high fragility. The most common ceramic materials are based on alumina (aluminum oxide), silicon nitride and silicon carbide. Cubic boron nitrides (CBN): The second hardest substance. It offers extremely high resistance to abrasion at the expense of much toughness. It is generally used in a 7 Parth Mahajan | 17317419 • machining process called "hard machining", which involves running the tool or the part fast enough to melt it before it touches the edge, softening it considerably. Polycrystalline diamonds: The hardest substance. Superior resistance to abrasion but also high chemical affinity to iron which results in being unsuitable for steel machining. It is used where abrasive materials would wear anything else. [18] These materials have been created for usage with different kinds of workpiece materials as per requirement. Of all these materials, HSS or structural steel is very easily accessible and is a cheaper alternative with variations in respect to coating on the material. 2.2.2 Tool Wear Tool wear is generally a gradual process due to regular operation. Tool wear can be compared with the wear of the tip of an ordinary pencil. According to Australian standard, the tool wear can be defined as the change of shape of the tool from its original shape, during cutting, resulting from the gradual loss of tool material. [19] Tool wear depends upon following parameters: • • • • • • • Tool and work piece material Tool shape Cutting Speed Feed Depth of cut Cutting fluid used Machine Tool characteristics etc. The cutting tool parameters lead to the reason of why a Digital Twin is created. Through a digital twin, the life of the cutting tool can be assessed, in the case of a New Product, the input factors when fed into the Digital Twin, can tell whether the cutting tool will be compatible with the new product or not. It would even tell the user the number of workpieces it can machine at once and for what input parameters does one need to attain that or vice versa. This minimizes the need to perform physical tests on the product, which not only saves time, money and resources, but even enhances the potential at the operational and servicing stage. 2.2.3 Impact of forces on a cutting tool Past researches have shown the use of different Computer Aided Manufacturing (CAM) software’s for the assessment of the parameters of cutting speed, feed rate for the assessment of tool life. Due to the factors of feed rate, cutting speed and depth of cut, the machining time and cutting force impact can be seen in figure 2.5 which shows the forces and machining time plot where the forces can be seen going up to values of 2800 N. 8 Parth Mahajan | 17317419 Figure 2.5 The effect of cutting parameters on cutting force and machining time [20] All three cutting force components shown in Figure 2.6 are of interest because apart from the tangential (main) component that gives the cutting power and its determination is apparently necessary, the radial and in-feed components control dimensional and form errors in case of work piece and tool deflections and tool wear. [21] Figure 2.6 Force components in three-dimensional oblique cutting [22] Cutting force, FC is in the direction of primary motion. Cutting force constitutes about 70~80% of the total force F and is used to calculate the power P required to perform the machining operation. [22] 2.3 Modelling of a cutting tool Although various in-process and post machining corrective measures are available at high cost aiming at eliminating or minimizing effects of part distortion and tool deflection, the ability to accurately predict and minimize tool deflections and part distortion via simulations can significantly reduce manufacturing and assembly cost. Tool deflection and strain arises from high dynamic cutting forces during machining processes. Dynamic cutting forces can be predicted by physics-based machining models considering workpiece material properties, CNC machining toolpath, part geometry, and cutting force computation models. Coupled with tool compliance properties, a linear elastic tool deflection model can predict in-process tool deflections along machining toolpath within the physics-based cutting force prediction framework. [23] A digital twin can account for ever increasing need for data accumulation and data processing at all stages: those of design, development, testing, actual production, 9 Parth Mahajan | 17317419 assessment and correction or adjustment of the process. To create a digital twin, data from various sources are collected and analysed, such as physical dimensions, manufacturing information, operational data and information flows from analytic software. This information is combined into a virtual model. When designed appropriately, this model results in a very accurate simulation of the actual physical assets and their modus operandi. The ongoing flow of data facilitates analysis, which in turn results in a better production outcome. [24] 2.3.1 Linear Elastic Beam Model for Tool Deflection The linear elastic beam model for tool deflection prediction is developed within the physicsbased cutting force prediction framework. It includes two parts, modeling the tool as static fixed-free end cantilever beam and mapping dynamic cutting force onto the tool to predict tool deflections. Based on the assumption that majority of the tool deflection is due to the overhang and gravity and inertia effects are not significant, the modeling for tool deflection prediction follows linear elastic beam theory to reduce computational complexity while preserving accuracy. The toolholder is modeled as a fixed end support holding the tool. Similarly, the work holding and fixtures are also assumed to be rigid. [25] There are cutting tools of various shapes and each tool is modeled using multiple beam elements each with different moment of inertia due to varying geometry. A relatively simple tool as shown in Figure 2.7 is modeled as a cantilever beam. [25] Figure 2.7 Linear Elastic Model for tool deflection prediction [25] 2.3.2 Impact of longer tool length The study done by G.M. Sayeed Ahmed, Hakeem Uddin Ahmed, and Syed Safi Uddin Samad, on the effect of longer tool length on surface roughness and other parameters shows the cutting tool overhang affects the surface quality, especially during the turning process. Because the tool holder is subject to bending and buckling depend on effect point of the cutting force (tangential force), cutting tool displaced. This situation has negative effects on the surface quality as shown in figure 2.8. 10 Parth Mahajan | 17317419 Figure 2.8 Tool holder undergoing deflection, δ due to the tangential force and Adjustable Parameters in Turning Operations [26] From their research it can be concluded that using a short tool length always provide good surface roughness in a turning boring operation, no matter what cutting parameter or type of boring bar used. It was observed that turning operation using a long tool length may set excessive vibrations that decrease the surface quality. The variation of deflection with respect to depth of cuts for different overhang distances can be seen in figure 2.9. (a) (b) Figure 2.9 Variation of Deflection with respect to Depth of cut at tool overhangs of (a) 23 and (b) 33 mm [26] In the measurements performed after the experiments were complete, it was observed that the cutting tool deflection values increased as the tool overhang increased. [26] 2.3.3 Use of ANSYS in DT A digital twin begins with a basic model that describes the asset. It provides accurate operational pictures of assets right now. There is a significant business value in identifying underutilized devices, so analyzing twin information can lead to optimal usage. Simulations can be run on-site or in the cloud at scale - pushing models to the edge then bringing insights they create back to the cloud. Complete integration requires connecting to the customer’s PLM system, linking in CAD data and other valuable information recorded in enterprise systems. A digital twin that centres on a common model and incorporates many information sources enriches knowledge. [27] 11 Parth Mahajan | 17317419 ANSYS software’s greatest value is in bringing together different aspects of simulation, so it helps designers completely think through their designs. Because a simulation model demonstrates how the assets should work, the twin approach shows exactly when operation is amiss. Digital twins take simulation results out of the design studio and into real life to provide immediate feedback on one asset or many. [27] The ANSYS simulation results determine which area has the maximum or minimum strain or even stress values in alignment with several input parameters. Evaluation of data for optimum lengths to create a tool can easily be done using ANSYS. An example of how the design model of a CNC turning single point cutting tool may look like in ANSYS can be seen in Figure 2.10 below. Figure 2.10 An example of a CNC single point cutting tool modelled in ANSYS The above example shows how a designer can create an exact replica of the CNCMT and later put in the constraints and loading to the components for simulation purposes. The results can then be extracted and validated through physically performing various tests or maybe simplify the design model and test it with the analytical model. 2.4 Analytical Concept The DT data that has been derived from the ASYS model can be tested without the physical testing by using the analytical model. The strain has been created on the cutting tool can be validated using the analytical formula of strain. If a closer look is taken at the cutting tool, it can be seen that a load is acting upon the edge or tip which is in contact with the workpiece. It can be observed that when the cutting tool is attached with the tool holder, the back face is fixed and constrained, hence not allowing any motion from that end. This eventually can be modelled as the case of a cantilever beam. A cantilever beam is a member with one end projecting beyond the point of support, free to move in a vertical plane under the influence of vertical loads placed between the free end and the support. A rectangular cantilever beam with a point load applied at its free end can be seen in the Figure 2.11 below. The figure also shows that the bending moment for a 12 Parth Mahajan | 17317419 cantilever beam is the maximum at the fixed end. The shear force value, however remains constant throughout the beam. Figure 2.11 Cantilever Beam with a single point load W applied at the free end A number of parameters can be evaluated analytically using the cantilever beam model of the cutting tool. Specifically, for the calculation of strain. If it is a rectangular cross-sectional bar, theoretically the strain can be calculated using, ∈= 𝐈= 𝐌∗𝐜 𝐈∗𝐄 𝐛∗𝐡𝟑 𝟏𝟐 (1) (2) Where: ∈ is the strain (mm/mm) M is the moment (Force(N) * Length(mm)) c is the distance from the center of the beam to the point where the strain is being measured (mm) E is the modulus of elasticity (N/mm2) I is the 2nd moment of area (mm4) b is the width (mm) h is the thickness (mm) Another parameter that could be of interest for validation is the maximum deflection that occurs on the beam at a particular length x. For the purpose of calculation of the maximum deflection in the beam, the applicable formula is, δ= W∗ x3 3∗E∗I 13 (3) Parth Mahajan | 17317419 Where: δ is the maximum deflection of the beam (mm) W is the load that is being applied on it (N) x is the distance where the deformation needs to be evaluated (mm) E is the modulus of Elasticity (N/mm2) I is the 2nd moment of area (mm4) For the case of a circular cross-section, 𝐈= 𝛑∗ 𝐑𝟒 𝟒 (4) Where: R is the radius of the circular cross-section When the geometry is rather complex and it involves a rather arbitrary cross section, the centroid tends to shift from the center axis for most cases. In this case, the second moment of area with respect to the centroid, plus a term that includes the distances between the two axes will be used. This is called the parallel axis theorem and can be seen in figure 2.12 below. (5) Figure 2.12 Parallel axis theorem formula with an arbitrary cross section Where: Ix is the second moment of area for a complex geometry Ix’ is the moment of area from the new axis d is the location of the area from the centroidal axis and, A is the area 14 Parth Mahajan | 17317419 3 Methodology To create a digital twin, it is very important that a fundamental model is chosen at once and further constraints are applied for evaluation of various parameters. ANSYS is the chosen software for the simulation of the model as it helps in assessing various parameters such as strain, stresses, deformation etc. through the application of various constraints. Once, the FEA analysis has been performed, the Digital Twin will then be informed about the various conditions using sensors and a much clearer picture of the process can be drawn. Figure 3.1 shows the structure of the research project. Digital Twin ------------------------------------- ----------------------------------------------- FEA Analytical Model Experimental Validation Figure 3.1 Procedural Flow Chart for the project work 3.1 Design Modelling The design phase is when the physical model is replicated virtually for process optimisation. The designing is done in ANSYS 18.0 design modeller using the static structural model as can be seen in figure 3.2 below. This design is just an example of how a strain gauge may be set up with a cap on top along with a tooling insert. 15 Parth Mahajan | 17317419 Tooling Insert Strain Gauge Cutting Tool Figure 3.2 Design model of a basic cutting tool with a strain gauge and tooling insert The model of any cutting tool can be replicated using the correct design parameters. There have been various design iterations that have been considered. All of those design iterations can either be created on ANSYS design modeller or imported from a designing software such as Solid Works. The design has been done modelled as a simplified bar of 25X25 mm like the one used for turning process along with an iteration of a cylindrical bar with a 25 mm diameter which can be modelled as a round boring bar for internal machining. These 2 iterations were created to begin with a simplistic model for obtaining strain. The strain evaluation which is the main parameter has been assessed at a distance of 10mm from the fixed end of the designs, i.e. the tool post, modelled as a cantilever beam. The final design was created to accommodate the setup of a strain gauge inside the cutting tool, so as to avoid hindrance with any operations and also to assess to impact of material removal from a certain location in the cutting tool. 3.2 Finite Element Analysis The FEA model is where the replicated physical model will be applied with the constraints and forces for evaluation of the impact of various constraints. In order to obtain the best results, a fine mesh with an appropriate mesh quality should be prepared so as to obtain the best possible results and so that the results converge. The aim is to receive maximum strain with a practical material like High Speed Steel (HSS). The important thing to be kept in mind during the assessment of the FEA model is that only the strain occurring on the cutting tool needs to be evaluated, so no strain should appear on the tool post. The loads are then applied to the cutting tool for various iterations. Now, the literature review shows that cutting forces can go up to a value of 3000 N as they depend on the various factors such as feed rate, depth of cut and cutting speed. In order to keep the model basic, a fixed support has been applied to the design model of all the iterations so as to create a cantilever beam as can be seen in figure 3.3, which shows an example of how the forces may be applied to the designs. This allows flexibility and ease in the analysis of how these factors play a crucial role in the CNC cutting tool. 16 Parth Mahajan | 17317419 Figure 3.3 FEA model with constraints and forces The strain has been evaluated for various cutting tool lengths. This has been inspired from the literature that shows how the increase in cutting tool length increases deflection in the cutting tool. This increase in length assessment is important for the evaluation of the suitable depth of cut or other parameters that may result in development of strain on the cutting tool. This is an important simulation as it helps the DT in evaluating whether the respective tool length is correct for the process or not. 3.3 Analytical Model The analytical model is used for the validation of the results since the design has been modelled as a cantilever beam. The physical testing would need various sensors and an entire setup for that validation. For the purpose of calculation of strain for a rectangular cross section, the second moment of area needs to be evaluated using equation 2. These results will be used for equation 1 in the calculation of strain. The material that is used here is High Speed Steel which has a modulus of elasticity value of 200,000 N/mm 2. The strain can easily be calculated using these values at any location along the bar, that is c in equation 1. The second moment of area obtained for the simple model of the cylindrical cutting tool can be evaluated using equation 4. Later, the values will again be put into the equation 2 for validation of the strain results at any point c. But the second moment of area for some complex models are very different as the centroid would be shifted which would lead to a change in second moment of area. The equations 5, that is the parallel axis theorem is used to calculate the value of the second moment of area and hence the value of strain. Since, the material composition is consistent throughout the young’s modulus value will remain the same for the complex shapes. The moment however, since depends on the force applied and the perpendicular distance from which the force has been applied, it will change with the increasing length of the tool. 17 Parth Mahajan | 17317419 The deformation values for various lengths can be evaluated using the equation 3. 3.4 Validation The validation is the physical testing of the model using the strain gauges sensors and dynamometers for sensing the real-time data of the cutting tool. The data received will then be analysed and validated with the results of this experiment. If the design and FEA model have been validated with the analytical model, it is predicted that it would validate with the physical testing model too. The creation of the DT is part of this project, the validation however is not in the scope as it will be done using the physical setup. 18 Parth Mahajan | 17317419 4 Design Investigations In order to create the DT of a cutting tool system, 3 simple designs have been investigated as part of the methodology through FEA. The impact of those forces acting on the cutting tool have been assessed to measure strain across various lengths of the cutting tool. The impact of deformation however, will be measured also the tool moves away from the tool post, that is for the stick out distance or for the case of various locations of material removal. 4.1 Design 1 In order to create a DT of a smart cutting tool, the literature shows that a cutting tool can be modelled as a cantilever beam. Because the approach used in this project is rather simplistic than making a complex cutting tool, the first design is a 25X25 rectangular cross sectioned bar made of structural steel with a length of 50mm as can be seen in Figure 4.1 below. The design has been made in static structural system in Ansys 18 Design Modeler. Figure 4.1 Design 1 of a 25X25 mm cross section bar with 50mm in length 4.1.1 Constraints and forces In the modelling parameters, a fine mesh was created and then the design 1 has been modelled as a cantilever beam using a fixed support and the forces have been applied to it on the free end as can be seen in figure 4.2. The forces on the cutting tool depend on a lot of parameters as can be seen in the literature review. Because of these factors, the value of forces can be seen going up to significantly large values. The design undergoes a force range of 500N to 3000N with an interval of 500N. A specific coordinate system has been defined for the cutting tool 10mm away from the fixed end in order to measure the strain at that point where the strain probe will help in otaining the value for the strain. The location of the strain probe will not change with the increasing length of the cutting tool. 19 Parth Mahajan | 17317419 Figure 4.2 Design constraints and forces applied on design 1 4.1.2 Strain Measurement for various lengths The length of the cutting tool will be evaluated for four different cutting tool lengths as can be seen in Figure 4.3 below. The strain however will be measured at a particular distance in order to evaluate the variation due to the increase in length at a particular point in the cutting tool. (a) (b) (c) (d) Figure 4.3 Cutting tool lengths of (a) 50mm (b) 60mm (c) 70mm and (d) 80mm The stick out distance or the distance that the cutting tool is away from the tool post plays an important role in modelling the cutting tool and the creation of the DT. This is because 20 Parth Mahajan | 17317419 firstly, it means the amount of the cutting tool that is left hanging from the tool post. Secondly, it is important because in a smart cutting tool system, this would tell the DT whether or not the cutting tool has been fixed at the required position using the obtained sensor data. Figure 4.4 below shows various stick out distances for which the design 1 of length 50mm has been tested. The tool holder length for this has been designed longer. (a) (b) (c) (d) (e) Figure 4.4 Design 1 with stick out distance of (a) 0mm (b) 10mm (c) 20mm (d) 30mm and (e) 35mm 4.1.3 Strain Vs increasing length for various forces The strain has been evaluated at a distance of 10 mm from the fixed end for the cutting tool lengths seen in figure 4.3 above. The strain probe attached at that point evaluates the von mises strain value at that point as the von-mises strain considers the distortion theory and gives a much clearer and reliable value. Figure 4.5 shows the strain probe setup for the case of a 60mm length. The plot for the variation in increasing lengths can be seen in figure 4.6. 21 Parth Mahajan | 17317419 Figure 4.5 The strain probe location on the cutting tool on the defined coordinate system (a) (b) (c) (d) Figure 4.6 Strain Vs increasing length for a force of (a) 500 N (b) 1500 N (c) 2000 N and (d) 3000 N 4.1.4 Deformation Vs Increasing length and Deformation Vs Stick out distance When the total deformation was evaluated for the increasing distances, the FEA showed the maximum deformation at the point of load, which can be seen in figure 4.7. It is observed for a length of 50mm, when a load of 500N is applied on the design, it shows a gradual decrease in the deformation as it moves away from the point of load, which was somewhat expected from the design model. 22 Parth Mahajan | 17317419 Figure 4.7 Deformation for a stick out distance of 0mm For the case of 0mm stick out distance when the length is varied, it shows that the deformation too increases, as can be seen in Figure 4.8 below for a load of 2500 N. Figure 4.8 Deformation for a 2500 N load for increasing cutting tool length The purpose of evaluating various stick out distances was to assess the deformation occurring on the tool when the fixed location of the cutting tool moves at a particular distance for a particular load. Hence, the deformation was plotted for various stick out distances, for the force range used for strain and a few plots can be seen in figure 4.9 below. (a) (b) Figure 4.9 Deformation at (a) 500 N and (b) 2000 N for various stick out distances 23 Parth Mahajan | 17317419 4.1.5 Analytical Validation Since the cutting tool has been modelled as a cantilever beam, the corresponding strain for the forces can be tested too for increasing lengths. The equations 1 and 2 when used for the design show that the analytical model verifies with the evaluated or observed values of strain. The results mentioned in table 4.1 show the evaluation of strain for a 50mm length that results in an error of 0.03 which is negligible. The plot has been created for the results in figure 4.10. The values used for the evaluation however are 32250 mm4 for I and 200000 N/mm2. The values of strain however have been used for the maximum strain applied to the tool edge in the case of a coarse mesh rather than a fine mesh, because the analytical strain however does not consider the external parameters which are considered in a simulation. Hence, for simplicity of calculations the result generated by a coarse mesh were used for the analytical validation of a tool of 50mm. Force Applied (N) Observed Strain (mm/mm) Analytical Strain (mm/mm) 500 0.000114765 0.000115 1000 0.000229531 0.000230 1500 0.000344296 0.000346 2000 0.000459062 0.000461 2500 0.000573827 0.000576 3000 0.000688593 0.000691 3500 0.000803358 0.000806 4000 0.000918124 0.000922 Table 4.1 Observed and Analytical maximum strain against various loads for a 50mm bar Figure 4.10 Observed vs analytical maximum strain plot for a tool length of 50mm 24 Parth Mahajan | 17317419 4.1.6 Discussion on Design 1 The idea of creating a simple design of cutting tool by choosing the 25X25mm cross section bar and modelling it as a cantilever beam shows the similar properties as expected in the literature review. Although, a few graphs have been shown but the same trend is followed by all the loads as the length of the cutting tool is incremented. The strain increases exponentially with the length. The increasing length increases the overhanging distance of the beam which leads to the strain developed at a particular point increasing. The deformation increases with the increasing length of the beam which is reviewed by the literature and hence, verifies the results. The deformation increases exponentially as the cutting tool moves away from the tool post for a particular cutting tool length of 50mm. As the overhanging distance is increasing, the tool deflects more, and this case too is reviewed from the literature review. The further analytical testing done using the theoretical formula helps prove the case that the strain values observed match with the analytical strain. This shows that a successful Digital Twin has been created for Design 1. 4.2 Design 2 The process of turning can be performed using different tools, and one of it is a boring bar used for internal machining. The boring bar can also be modeled as a cantilever beam of a circular cross section with a point load acting on its free end. The circular cross section of diameter 25mm has been used as the length is being incremented to assess the strain developed on the tool for a range of forces acting on the tool. Figure 4.11 below shows the design 2 for a length of 50mm. The material chosen for the design is structural steel. Figure 4.11 Design 2 of a boring bar modeled as a cylindrical cantilever beam 4.2.1 Constraints and forces The constraints and forces for this design cannot be applied on the entire edge. For this design, a different approach has been used where a new coordinate system has been defined with respect to the global coordinate system as can be seen in Figure 4.12. The 25 Parth Mahajan | 17317419 defined coordinate system is then loaded with a point force acting downwards in the negative y-axis whose magnitude is 500 N. Figure 4.12 The constraints and forces acting on the cutting tool The model is loaded with a range of forces from 500 N to 3000 N with an interval of 500 N. 4.2.2 Strain Measurement for various lengths For this design, the strain will be assessed for the force range acting on it as the length increases. The various lengths used for this design can be seen in Figure 4.13. A point load has been applied to all the cases on the free end. Particular precaution has been taken to make sure the strain only comes on the cutting tool and not the tool post because it is only used for modelling, but the Digital Twin is being created only for the cutting tool. (a) (b) (c) (d) Figure 4.13 Design 2 with a cutting tool length of (a) 50mm (b) 60mm (c) 70mm and (d) 80mm 26 Parth Mahajan | 17317419 4.2.3 Strain Vs increasing length for various forces The Design has been evaluated for various lengths, but the strain is measured at a particular location using a strain probe which is located at a distance of 10mm from the fixed end. The strain observed by the probe for a cutting tool of length 60mm can be seen in figure 4.14 below. It shows that a new coordinate system has been defined in order to observe the value of strain at the 10mm distance. Figure 4.14 Location of the strain probe at a 10mm distance from the fixed end For all the lengths evaluated, the location of the strain probe has been kept constant, that is 10mm away from the fixed end. The strain data observed by the probe for a particular load has been plotted across the increasing lengths which can be seen in figure 4.15. The strain used for plotting is the von-mises strain. (a) (b) Figure 4.15 Strain measured against increasing length for a load of (a) 500 N and (b) 2000 N When the deformation is observed for the increasing lengths, the plot for a load of 2000 N can be seen in figure 4.16 below. 27 Parth Mahajan | 17317419 Figure 4.16 Deformation for 2000 N for increasing cutting tool length The deformation observed also has been evaluated for a range of 500N to 3000N and similar curve has been observed for all loads. 4.2.4 Analytical Validation The analytical validation for the design 1 had been done using the equations 1 and 2 and similarly, the validation for the design 2 can be done using the equations 1 and 4. Since, the design 1 showed that the results obtained were correct, it is predicted that the design 2 also would be validated for all cases of varying stick out distances. The radius used is 12.5 mm and the value of modulus of elasticity is 200000 N/mm2 since the material chosen for results is structural steel. 4.2.6 Discussion on Design 2 The design was modelled in order to show the impact on a cutting tool strain for forces acting on a tool such as a boring bar which is cylindrical in shape. The impact of various forces was evaluated for increasing length of cutting tool due to cutting forces ranging from 500 N to 3000 N. The strain was calculated at a constant distance of 10mm from the fixed end for various lengths of the cutting tool. The results show that as the length of the cutting tool increases, the strain at that point also increases. The results obtained for the deformation shows the increase in tool deflection with the increase in tool length. This matches with the results obtained in the literature review. The analytical testing formula are predicted to validate the results for both the deformation and strain observed on the cutting tool. Although, the plots are acceptable, the simulation results for this case can be refined by changing the design, and adding additional cut into the material at the point of load, so as to accommodate the tooling insert which rests on it. But since, the design is kept basic, a point load is applied to it rather than removing material from the tool. 28 Parth Mahajan | 17317419 4.3 Design 3 The design 3 analyses a more complexed case where some material is removed from the cutting tool. The material removed from the cutting tool is of length 10mm. The assessment parameter although still remain the same, i.e. the strain. The material removed is referred to as cut out distance and it will also be assessed for incremented cutting tool length. The purpose of the cut-out distance is that if in future for the testing, a strain gauge sensor is attached to the cutting tool, then it could easily be fitted in that cut out distance. This design will help generate results with the removed material, which would give much clearer results for the strain values. The idea is still kept to be simplistic as before for creating the design and hence the fundamental design is a rectangular bar with a 25X25mm cross section that is 50mm in length as can be seen in figure 4.17. The material chosen for the design is structural steel. The 10mm cut out distance is at a 5 mm distance away from the fixed end. Figure 4.17 Design 3 with a 10mm removed material 5mm away from the tool post 4.3.1 Constraints and forces The design 3 has been modelled as a cantilever beam with the fixed end attached to the tool post and the forces ranging from 500N to 3000N are applied at the free end of the cutting tool. Figure 4.18 shows how the design has been constrained with the application of a fixed support and the application of the cutting forces for a 60mm bar. The force has been applied on the edge of the cutting tool for assessment of the impact of the force on the strain at the location where the material is removed from. Figure 4.18 Design 3 with the applied constraints and forces 29 Parth Mahajan | 17317419 4.3.2 Strain measurement for various lengths For this design, strain has been measured at the distance of 10mm from the fixed end which lies in the region of the removed material. This is good because a sensor can be attached in this area and the results can easily be validated for various lengths. Figure 4.19 shows the various lengths for which the strain has been evaluated. (a) (b) (c) (d) Figure 4.19 Design 3 with a length of (a) 50mm (b) 60mm (c) 70mm and (d) 80mm Another factor that was of interest for this design was the impact of the movement of the removed material from the point of load. The different cut out distances have been shown in figure 4.20 for a fixed length of 50mm. This case has been designed to evaluate the impact on deformation at 10mm away from the tool post due to the impact of material removal at various locations. The cut-out distance here refers to the distance that the removed material is away from the point of load. (a) (b) 30 Parth Mahajan | 17317419 (c) (d) Figure 4.20 Design 3 with a cut-out distance of (a) 10mm (b) 15mm (c) 20mm and (d) 25mm 4.3.3 Strain Vs increasing length for various forces The strain has to be evaluated for various lengths of design 3. The strain is measured at the distance of 10mm from the fixed end, which puts the strain probe on the surface of the removed material which can be seen in figure 4.21 for a tool length of 60mm. Figure 4.21 Strain probe location for design 3 The strain measured for different lengths has been plotted for a range of 500 N to 3000 N. The results obtained can be seen in figure 4.22 which shows the impact of a few loads on the strain at the desired location. (a) (b) Figure 4.22 Strain for increasing lengths at a cutting force of (a) 2000 N and (b) 3000 N 31 Parth Mahajan | 17317419 The impact of deformation for this case has been evaluated and the plot can be seen in figure 4.23 below for a load of 2500 N. Figure 4.23 Deformation for various lengths at a force of 2500 N 4.3.4 Deformation for various cut out distance The impact on the strain and deformation for the case of variations in the cut-out distances has been evaluated for various loads at the free end. The strain and deformation have been measured at the free end of the cutting tool which are the locations of the maximum values for these two parameters. The plot can be seen in figure 4.24 below. (a) (b) Figure 4.24 Deformation for a 50mm bar with the change in cut out distance for (a) 500 N and (b)2000 N 4.3.5 Analytical Validation This design is rather complex and according to the analytical formula mentioned in the literature, this design would require the usage of the parallel axis theorem for calculation of the second moment of area. This is because of the cut-out distance present at various distances as tested due to which the centroid would shift from its place. This design is quite similar to the design 1 with the only variation being the case of material removal from the 32 Parth Mahajan | 17317419 design. Through the use of equations 1,2 and 5 the model can be tested analytically. Since, the design 1 was validated for the various increasing lengths, it is predicted that this design too can be validated analytically. 4.3.6 Discussion on design 3 This design was created keeping in mind the case that may arise where a sensor needs to be fitted on the cutting tool. The idea of the removed material is also to evaluate the impact on the strain for a cutting tool when the length of the tool increases. The strain has been observed on the surface of the removed material at a distance of 10mm from the fixed end. The location of strain observation has not been changed in relation to the cutting tool length. The observed strain shows an increment in the strain value with the increase in its length. The strain increases exponentially for the cutting tool length. This is the case for all of the force range from 500 N to 3000 N. The increase in deformation with the increase in length verifies with the literature which tells that the deflection increases with the increase in cutting tool length. For the case of the variation in the cut-out distance, it was seen that the deformation tends to increase when the cut-out distance comes near the fixed end of the cutting tool. This is because of the fact that according to the bending moment theory, the bending moment is maximum at the fixed end of the cantilever beam. Hence, when some material is removed from the area closer to the fixed end, the beam tends to deflect more and the same can be observed from the result plots generated for deformation. The results hence validate with the literature and can be said to be correct. Further validation can be done through the physical testing of the design. 33 Parth Mahajan | 17317419 5 Conclusion The research investigated various designs for the evaluation of strain and observed a few relations for the case of deformation which align with the literature review. The state of the art shows how a cutting tool can be modelled as a cantilever beam, and the dependence of deflection on the length of the cutting tool or overhanging length of the tool. The results obtained for the impact of forces, can also be used to examine the impact of parameters on which the cutting force depends, such as the cutting speed, depth of cut, or feed rate of the cutting tool. The design 1, which was a rectangular cross-sectioned bar of dimensions 25mmX25mm and length 50mm were simulated for strain evaluation for a force range of 500N to 3000N. The strain was measured at a location of 10mm of from the fixed end for increasing lengths of the cutting tool from 50mm to 80mm. The cantilever modelled beam shows an increase in the strain value as the length that is overhanging from the tool post increases. Similarly, the deformation increases with the increase in cutting tool length. This result for beam deflection verifies with the literature review which shows the impact of increasing over hanged length leads to an increase in the deflection of the tool. The analytical testing verifies the results for the strain generated from a coarse mesh. This is because the fine mesh simulation usually converges and gives much more accurate results. However, for this basic model, coarse mesh results can be used to verify for analytical testing. Hence, the Digital Twin for design 1 has been created successfully. The design 2 was modelled keeping in mind the turning tool used for internal machining process. Hence, a 25mm circular cross section has been used for evaluation. The loading however was different for this case, as a point load is applied to it to keep the model simplistic. The strain again has been measured at fixed location of 10mm from the fixed end of the cutting tool for different lengths. The results for the force range with the increasing length of the cylindrical cantilever beam show a similar exponential increase for strain as was observed in design 1. Hence, it can be said that the strain increases as the length of the cutting tool increases. From the 2 evaluated designs, it is proven that longer the length of the tool, the more strain is observed on it. The design 3 however uses a different approach and is evaluated for a case of material removal from the cutting tool. This may be used for future designing, where a strain gauge may be fixed to the cutting tool of a certain length. The bar of 25mmX25mm cross-section when has a 10mm material removed off it from a location of 5mm from the fixed end and the strain is again evaluated at the same location as was done for the first 2 designs. The strain shows a similar increase with the increasing length of the tool. If the material is removed at various locations along the length it shows that closer the removed material is to the edge of applied load, a lower deformation is observed on that edge. Hence, the 34 Parth Mahajan | 17317419 deformation at the free end increases when the removed material reaches close to the area of fixed end. This is due to the bending moment being maximum at that point. Hence, a successful digital twin is created which tells the impact: • • • • of increasing length on the strain of the cutting tool material properties on the strain of a cutting tool on deflection for an increase in length of a cutting tool of cutting forces on the strain at a particular location of a cutting tool Hence, the research agrees with the literature that a shorter length of cutting tool should be used for the turning process. This would assist in resisting higher forces which would lead to lesser tool wear and longer tool life. An area of interest could be evaluating the temperature variations due to the increase in the length of the cutting tool. As, higher the temperature, softer the workpiece, which would result in lesser cutting forces on the cutting tool, leading to lesser tool wear. The increasing length of the tool leads to increasing vibrations which is not suitable for precision machining. 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