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REST Journal on Emerging trends in Modelling and Manufacturing Vol:3(3),2017 REST Publisher ISSN: 2455-4537 Website: www.restpublisher.com/journals/jemm Modeling for investigation of effect of cutting parameters on the tool dynamics and surface roughness in turning operation with uncoated and coated cutting tools Kuldip A.Baviskar, Umesh S.Chavan Department of Mechanical Engineering, Vishwakarma Institute of Technology, Pune, India kuldipbaviskar@gmail.com, umesh.chavan@vit.edu Abstract This paper presents the obtained mathematical models of Feed Force, Cutting Force, Thrust Force, and Surface Roughness during turning operation for uncoated and coated tool insert as a function of processing parameters cutting speed, feed and depth of cut. The turning operation has been performed on the CNC Lathe machine using tungsten carbide (uncoated and coated with Al2O3) tool inserts and the workpiece material is AISI 4340. Process influencing parameters considered are in the range between A = 150 and 300 m/min, B = 0.16 and 0.32 mm/rev and C = 0.5 and 1.5 mm. Cutting forces are measured using computerized experimental setup with KISTLER s three components piezoelectric dynamometer and surface roughness is measured with MITITOYO s portable surface roughness tester. Experiments are performed as per the first order three factorial experimental plan for coated and uncoated tool insert. Mathematical modeling of cutting forces and surface roughness has been prepared with regression by MINITAB 18 and with ANN by MATLAB 18. Keywords:Mathematical Model, Cutting Forces, Surface Roughness, ANN. I. Introduction In machining process, prediction of outcome is of vital importance and major factors which affects the performance of machining are cutting speed, feed and depth of cut. High material removal rate is proposed to reduce manufacturing cost and machining time, while the productivity in terms of cost and machining time for an expected surface quality of work piece strongly depends on the tool wear which directly proportional to generated tool forces. The maximum utilization of cutting tool is one of the way to achieve reduction in manufacturing cost [2]. Getting the magnitudes of cutting forces and surface roughness formed on the workpiece in the turning operation as a condition of treatment is necessary for determining the cutting tool strength, selection of optimal processing parameters, forecasting the expected performance, tool wear, and quality of machining, determination of the time to change the tool inserts. Experiences show that the determination of cutting forces in an analytical way not fully reflect the actual situation [3]. Metal cutting is one of the most significant process in material removal. It has been proven that the quantitative predictions are very essential to develop optimization strategies preferably in the form of equations. [4]. Surface quality is one of the most indication of the quality of machined component which is surface roughness. Cutting parameters are the important influencers on the quality of surface of machined component. Cutting force is the important variable which provides information to understand critical machining attributes such as machinability, tool fracture, tool chatter, surface finish and accuracy. [5].Here, experiments are conducted as per first order three factorial experimental plan for uncoated and coated tool. The Mathematical regression model is prepared using MINITAB 18 and accuracy of the model is tested using analysis of variance (ANOVA). The second model is generated using artificial neuron network tool in MATLAB 18. The regression model and ANN model values are compared with the actual results. II. Experimental Details A. Experimental Plan The planning of experiments means prior prediction of actions and all influential factors which will help in getting new knowledge effectively. The experiments have been carried out using first order three factorial design of experiment to achieve tool forces generated on tool insert and surface roughness obtained on workpiece. From the literature survey, it has been understood that there are three important parameters which affects tool forces and surface roughness most. So, in this paper three cutting parameters are considered as an influencing factor which are cutting speed, feed and depth of cut. Each factor is having two levels that is low and high as explained in Table 1. Table 1: Cutting Parameters Factors Name Low Levels High Levels Unit A Cutting Speed 150 300 m/min B Feed 0.16 0.32 mm/rev C Depth of cut 0.5 1.5 mm Number of Factors (k) = 3 Number of levels (L) = 2 Copyright@ REST Publisher 69

Number of experiments = Lk = 23 = 8 The first order three factorial plan of experiments is presented in Table 2. For each experimental run, magnitudes of Feed Force (Fx), cutting force (Fy), Thrust Force (Fz) and Surface Roughness (Ra) have been measured for coated and uncoated tungsten carbide tool from which later individual mathematical models are generated using Regression and ANN method. Table 2: Experimental Plan Actual Run No. Run No. FactorA FactorB FactorC 2 1 150 0.16 0.5 4 2 300 0.16 0.5 6 3 150 0.32 0.5 8 4 300 0.32 0.5 1 5 150 0.16 1.5 3 6 300 0.16 1.5 5 7 150 0.32 1.5 7 8 300 0.32 1.5 B. Workpiece From the literature survey, it has been concluded that, there is a variety of materials which can be used with CNC turning operation. The workpiece material selected in this thesis is AISI 4340 which is generally used to manufacture crankshafts in industry. The workpiece used for the experiments are having 100 mm length and 50 mm diameter as shown in below Figure 1. The shows the mechanical properties of the workpiece. Table 3: Properties of workpiece material AISI 4340 Property Value Unit Density 7850 g/m3 Bulk Modulus 140 GPa Shear Modulus 80 GPa Tensile Strength 745 MPa Yield Strength 470 MPa Hardness 217 MPa Poisson s Ratio 0.3 Melting Point 1700 K Before Turning After Turning Number of specimens Figure 1: Workpiece before and after turning C. Cutting Tool Insert From the literature survey, it is found that there are different types, shapes and grades of tools which are made from different materials are extensively used in turning process. From the market survey, it has been concluded that there are number of companies which are making tool inserts. Here in this paper the tool inserts which is used is made by Carmet tools. Tool insert used are of Tungsten carbide material and coated with Al2O3 material by CVD coating method as shown in below figure. Coated Uncoated Tool inserts shown in following figure are held by tool holder of size 12 x 25 mm in turret along with the Dynamometer as shown in Figure 2. Tool is held in tool holder by screw. Copyright@ REST Publisher 70

Figure 2: Tool with Dynamometer held in turret Table 4shows the specifications and geometry of Tool insert used Table 4: Tool Insert Specifications Parameter Specification Insert Shape Clearance Angle 6 0 Hole Shape Cutting Edge Length Nose Radius Chip Breaker Coating Thickness Manufacturing Option Tool Holder Triangular Cylindrical 12 mm 0.4 mm Double Sided 0.3 mm Roughing D. Experimental Setup The experiments are performed on the CNC Lathe machine whose specifications are shown in Table 5 with the KISTLER S Piezoelectric Dynamometer setup to get the three directional forces generated on the tool insert as shown infigure 3. Table 5: Specifications of CNC Lathe Machine CNC LATHE MACHINE CONTROLLER SIEMENS 828D Make MTAB Chennai Model Maxturn plus+ X-axis travel 140 mm Z-axis travel 380 mm Max. turning diameter 235 mm Max. turning length 360 mm Max. Speed 6000 rpm Chuck size 165 mm Turret Number of stations 8 Spindle Motor 5.5 Kw Accuracy 10 u Figure 3: Schematic diagram of Piezoelectric Dynamometer Figure 4: Experimental set up Copyright@ REST Publisher 71

KISTLER S Piezoelectric Dynamometer attached with the base is used to measure the forces generated on the tool insert. Dynamometer is fixed in the turret on which tool holder is mounted and it relates to the computer through the 3 component signal s amplifier and A/D Card represented in schematic view of dynamometer setup as shown in Figure 3 and actual setup as shown in Figure 4.When the tool gets in contact with the workpiece, the electric signal from dynamometer are sent to signal amplifier which amplifies the signals and transfers amplified signals to A/D Card which converts AC signals to DC signals. These DC signals are read into the KISTLER s Dynoware software which are displayed on the computer monitor as shown in Figure 3. The individual graphs of three directional forces have been generated in Dynoware for each run separately as shown below. Sample Force Graphs for Run: Feed Force (Fx) Cutting Force (Fy) Thrust Force (Fz) To measure the surface roughness of workpiece, MITUTOYO s portable surface roughness tester has been used. MITUTOYO s portable surface roughness tester is very sensitive measuring device with the stylus which detects the profile of the measuring surface. This stylus is the main and sensitive part of the tester which should not fall on the floor or hit by any means. Sample Roughness Graphs and Ra values for Run: Run No. 3 Ra Rq Rz Profile Profile Plot E. Experimental Data The following results were obtained after going through above steps for each experiment mentioned in Error! Reference source not found. for uncoated tungsten carbide tool and in Error! Reference source not found. for coated tungsten carbide tool. Uncoated Tool Coated Tool Run No. Ra(µm Fx(N) Fy(N) Fz(N) Ra(µm) Fx(N) Fy(N) Fz(N) ) 1 101.8 188.6 73.24 1.412 130.1 209.3 94.03 0.501 2 96.61 174 68.41 1.245 127.3 168.7 82.38 0.334 3 166.5 324.2 107.3 1.644 175.3 730.7 412.6 0.733 4 124.4 274.4 83.28 1.618 126.2 282.8 122.9 0.707 5 102.2 370.5 223 1.693 121.8 390.6 269.3 0.782 6 107.3 455.9 237.9 1.434 149.6 481.1 300.7 0.523 7 215.6 907.9 414.7 1.711 132.6 554.6 487.7 0.821 8 170.2 731 336.8 1.699 144.8 565.8 292.9 0.788 III. Mathematical Modeling a. Regression Model In this paper, regression method is applied to develop mathematical model to predict the tool forces and surface roughness. The regression model is generated on the MINITAB 18 software of student s version and analyzed the models with ANOVA technique. The individual mathematical models were obtained for Fx (Feed Force), Fy (Cutting Force), Fz (Thrust Force), Ra (Surface Roughness) for uncoated and coated tool insert separately. The effect of input parameters on output are also observed. Mathematical models for uncoated and coated tool are shown in Table 6 and Table 7 respectively. Table 6: Mathematical Models for Uncoated Tool Fx = 41.0-0.146 v + 420.1 f + 26.5 d Fy = -282-0.260 v + 1638 f + 376.0 d Fz = -119.8-0.153 v + 531 f + 220.0 d Ra = 1.243-0.000773 v + 1.388 f + 0.1545 d Copyright@ REST Publisher 72

Table 7: Mathematical Models for Coated Tool Fx = 126.7-0.020 v + 78.3 f - 2.5 d Fy = 86-0.645 v + 1382 f + 150 d Fz = 59-0.775 v + 890 f + 159.7 d Ra = 0.330-0.000808 v + 1.420 f + 0.1597 d In the mathematical equation, values along with parameter v, f, d are coefficients which indicates that how much influencing that particular parameter is. Negative coefficient indicates that the parameter will reduce the outcome value. In regression models, interaction variables are not taken into consideration to simplify the model. Figure 5: Main effect plot for sample run b. Accuracy of Regression Model The accuracy of regression model is verified using analysis of variance (ANOVA). According to the principles of this technique, p values for the model must be lower, higher the value of R-sq, the more successful is the regression model at the desired level of confidence of 95%, adjusted R2 < R2, variance should be minimal [2]. Table 8: ANOVA Results shows that the model is satisfactory in terms of the value of R2. Table 8: ANOVA Results Source DF Adj SS Adj MS F-Value P-Value Model 3 0.17322 0.057740 6.80 0.047 Linear 3 0.17322 0.057740 6.80 0.047 V 1 0.02691 0.026912 3.17 0.150 F 1 0.09857 0.098568 11.62 0.027 D 1 0.04774 0.047741 5.63 0.077 Error 4 0.03394 0.008486 Total 7 0.20716 S R-sq R-sq(adj) R-sq(pred) 0.0921188 83.62% 71.33% 34.46% Figure 6: Results of ANOVA Technique IV. Artificial Neuron Network Model ANN models are generated in MATLAB 18 student s version which consists of processors called Neurons that are linked by weighted interconnections. It can easily predict the output results from huge and complicated data base. It develops analytical model to solve problem of prediction, diagnosis and decision-making. It includes learning data as an experimental result for preparation of model and generated model can predict output for any number of variation of input parameter. The main advantage of ANN model are its simplicity and the ease of implementation. The learning abilities of these models are very impressive [5]. Input data has been added in Input Sheet, target data has been added in Target Sheet and inputs whose results have to be predicted are added in Sample Sheet. These three sheets are imported in Neural Network/Data Manager and created new network with Feed-Forward backprop network type. There are 3 types of layer in each ANN model which are Input Layer, Hidden Layer and Output Layer. Copyright@ REST Publisher 73

Figure 7: ANN Neural Network Model Network Model shown in Figure 7 is applied to all the runs in experimental plan. Figure 8 shows the analysis report of the sample ANN model. R value measures the agreement between the output and target values. R value is equal to 0.87922 which means the model is 88% acurate to give results for any input variable. Our aim is to get R value closer to 1. Matlab is employed for training the model. Parameter settings for neural network: 3 input nodes, 10 hidden nodes, 1 output node, supervised learning, Back propogation algorithm, gradient decent rule as a learning rule, 20 learning patterns, 10000 epochs. Figure 8: Results of sample ANN model analysis V. Results and Discussion Table 9 shows the results obtained from regression model for particular run with the percentage error or deviation from the actual results when machined with uncoated tungsten carbide tool. When the cutting speed increases the feed force (Fx) decreases. Feed force increases with increase in feed and depth of cut. Feed is the most influencing parameter for the feed force. For the cutting force (Fy) depth of cut is the most influencing factor. When the cutting speed increases cutting force decreases means lesser amount of force is required to remove material. Cutting force increases with increase in feed and depth of cut as per Figure 9. For the Thrust Force (Fz), depth of cut is the most influencing factor. Very less effect of cutting speed on thrust force. Thrust force increases with increase in depth of cut. For the surface roughness (Ra), feed is the most influencing factor. Surface roughness value decreases with increase in cutting speed which means surface quality of machined component is achieved by increasing cutting speed. Surface roughness increases with increase in feed and depth of cut as indicated in Figure 10. Table 9: Results and % errors of Regression Model for uncoated tool Force Surface Roughness Run No. Fx (N) Error (%) Fy (N) Error (%) Fz (N) Error (%) Ra (µm) Error (%) 1 99.566 2% 129.08 32% 52.21 0.2871382 1.42638 1% 2 77.666 20% 90.08 48% 29.26 0.5722848 1.31043 5% 3 166.782 0% 391.16 21% 137.17 0.2783784 1.64846 0% 4 144.882 16% 352.16 28% 114.22 0.3715178 1.53251 5% 5 126.066 23% 505.08 36% 272.21 0.2206726 1.58088 7% 6 104.166 3% 466.08 2% 249.26 0.0477512 1.46493 2% 7 193.282 10% 767.16 16% 357.17 0.1387268 1.80296 5% 8 171.382 1% 728.16 0% 334.22 0.0076603 1.68701 1% Avg. = 9% Avg. = 23% Avg. = 24% Avg. = 3% Total Average Relative error = 12% Table 10 shows the results obtained from regression model for particular run with the percentage error or deviation from the actual results when machined with coated tungsten carbide tool. Table 10: Results and % errors of Regression Model for Coated tool Force Surface Roughness Run No. Fx (N) Error (%) Fy (N) Error (%) Fz (N) Error (%) Ra (µm) Error (%) 1 134.978 4% 285.37 36% 165 0.7547591 0.51585 3% 2 131.978 4% 188.62 12% 48.75 0.4082302 0.39465 18% Copyright@ REST Publisher 74

3 147.506 16% 506.49 31% 307.4 0.2549685 0.74305 1% 4 144.506 15% 409.74 45% 191.15 0.5553295 0.62185 12% 5 132.478 9% 435.37 11% 324.7 0.2057185 0.67555 14% 6 129.478 13% 338.62 30% 208.45 0.3067842 0.55435 6% 7 145.006 9% 656.49 18% 467.1 0.0422391 0.90275 10% 8 142.006 0.01929558 559.74 0.0107105 350.85 0.1978491 0.78155 0.00818528 Avg. = 9% Avg. = 23% Avg. = 34% Avg. = 8% Total Average Relative error = 15% Table 11 shows the results obtained from ANN model for each run with the percentage error or deviation from the actual results when machined with uncoated tungsten carbide tool. Table 11: Results and % errors for ANN Model for Uncoated tool Force Surface Roughness Run No. Fx (N) Error (%) Fy (N) Error (%) Fz (N) Error (%) Ra (µm) Error (%) 1 97.5325 4% 224.6603 19% 69.3934 5% 1.412 0% 2 97.5841 1% 172.68953 1% 68.729 0% 1.235 1% 3 155.4434 7% 289.70793 11% 102.7496 4% 1.644 0% 4 128.4434 3% 189.7901 31% 69.7661 16% 1.608 1% 5 97.0002 5% 299.1921 19% 207.6595 7% 1.623 4% 6 96.6145 10% 487.4088 7% 145.1122 39% 1.424 1% 7 168.4434 22% 867.8593 4% 395.1679 5% 1.659 3% 8 169.2497 1% 895.9791 23% 302.1768 10% 1.669 2% Avg. = 7% Avg. = 14% Avg. = 11% Avg. = 1% Total Average Relative error = 7% Table 12 shows the results obtained from ANN model for each run with the percentage error or deviation from the actual results when machined with coated tungsten carbide tool. Table 12: Results and % error of ANN Model for coated tool Force Surface Roughness Run No. Fx (N) Error (%) Fy (N) Error (%) Fz (N) Error(%) Ra (µm) Error (%) 1 128.8241 1% 227.9383 9% 48.77 48% 0.434 13% 2 134.1909 5% 189.927 13% 82.3818 0% 0.334 0% 3 158.4375 10% 590.5155 19% 487.7 18% 0.634 14% 4 134.9349 7% 318.9887 13% 48.75511 60% 0.707 0% 5 138.9753 14% 305.1584 22% 287.7 7% 0.734 6% 6 155.2653 4% 446.7837 7% 282.3833 6% 0.434 17% 7 153.4662 16% 610.6247 10% 487.7 0% 0.734 11% 8 155.2078 7% 586.8958 4% 387.6762 32% 0.747 5% Avg. = 8% Avg. = 12% Avg. = 21% Avg. = 8% Total Average Relative error = 11% Figure 9: Contour plot for cutting forcefigure 10: Contour plot for surface roughness Total average error for ANN is 7% and 11% and for regression is 12% and 15%. From the Figure 11 and Figure 11 : Comparison of models for cutting forcefigure 12, it is seen that the ANN results are more accurate than the regression model results. Large variation is seen in few runs of regression model but in other case ANN model follows the actual closely. There is a large variation in force results compared to surface roughness results because there are vibrations of Copyright@ REST Publisher 75

Cutting Force (N) Roughness Value (um) Kuldip. et.al. / REST Journal on Emerging trends in Modelling and Manufacturing 3(3) 2017, 69-76 machine tool which take part during getting results of tool forces. From the result tables, it is seen that the generated cutting forces for coated tool are high compared to uncoated tool but the surface roughness values are much lesser in case of coated tool. Cutting Force (Fy) Surface Roughness (Ra) 1000 900 800 700 600 500 400 300 200 100 0 ANN Actual Regression 2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 ANN Actual Regression 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 Run No. Run No. Figure 11 : Comparison of models for cutting forcefigure 12: Comparison of models for surface roughness VI. Conclusion The following conclusions were made on the basis of experimentation and mathematical modelling performed. Cutting speed is indirectly proportional to tool forces and surface roughness.feed is directly proportional to tool forces and surface roughness.depth of cut is also directly proportional to tool forces and surface roughness.individual effects of process parameters on response are studied. It is observed that the feed plays significant role in feed force, cutting speed plays significant role in cutting force, depth of cut plays significant role in thrust force and feed plays significant role in surface roughness value. ANN model proved to provide a better prediction of tool forces and surface roughness. Also it provides less variation in number of predicted results.surface quality of workpiece surface after machining with the coated tool is good compared with the uncoated tool. Even though ANN is predicting results effectively, percentage error for regression model is less than 15% so it proves that mathematical models are extremely useful in machining processes for predicting results. References [1] Ravindra, H. V., Y. G. Srinivasa, and R. Krishnamurthy. Modelling of tool wear based on cutting forces in turning. Wear 169(1), 1993: 25-32. [2] Özel, Tuğrul, and Yiğit Karpat. Predictive modeling of surface roughness and tool wear in hard turning using regression and neural networks.international Journal of Machine Tools and Manufacture 45(4), 2005: 467-479. [3] Abukhshim, N. A., P. T. Mativenga, and M. A. Sheikh. Heat generation and temperature prediction in metal cutting: A review and implications for high speed machining. International Journal of Machine Tools and Manufacture46(7), 2006: 782-800. [4] S. Selvakumar and R. Ravikumar, Experimenatl analysis and mathematical modeling of optimized cutting parameters in microturning. Indian Journal of Engineering & Sciences 21, 2014: 397-408. [5] Bajić, Dražen, Luka Celent, and Sonja Jozić. Modeling of the influence of cutting parameters on the surface roughness, tool wear and the cutting force in face milling in off-line process control. Strojniski vestnik-journal of Mechanical Engineering 58(11), 2012: 673-682. [6] Liu, Chi Wen, Bau Tong Dai, Wei Tsu Tseng, and Ching Fa Yeh. Modeling of the Wear Mechanism during Chemical Mechanical Polishing. Journal of the Electrochemical Society 143(2), 1996: 716-721. [7] Amarjit Prakashrao Kene, S.K. Choudhury, Behaviour of cutting forces in hard turning considering effect of tool wear on principal flank, auxiliary flank and rake faces: individually and in combination, 5 th International and 26 th All India Manufacturing Technology, Design and research conference, IIT Guwahati, Assam, India, December 12 th -14 th, 2014. [8] Vignesh, K., and P. Padmanabhan. Analysis the Residual Stress of cutting tool insert in turning of Mild Steel A Review. International Journal of Advanced Science and Technology 90, 2016: 49-60. Copyright@ REST Publisher 76