OPTIMIZATION OF PROCESS PARAMETERS IN DIRECT METAL DEPOSITION TECHNIQUE USING TAGUCHI METHOD
|
|
- Abraham Daniel
- 6 years ago
- Views:
Transcription
1 International Journal of Mechanical Engineering and Technology (IJMET) Volume 7, Issue 3, May June 2016, pp , Article ID: IJMET_07_03_022 Available online at Journal Impact Factor (2016): (Calculated by GISI) ISSN Print: and ISSN Online: IAEME Publication OPTIMIZATION OF PROCESS PARAMETERS IN DIRECT METAL DEPOSITION TECHNIQUE USING TAGUCHI METHOD Subodh Kumar Department of Production Engineering, B. I. T. Sindri, Dhanbad, Jharkhand, India Ajit Kumar Singh Choudhary Department of Mechanical Engineering, Manav Rachna International University, Faridabad, India Jamshed Anwar Department of Production Engineering, B. I. T. Sindri, Dhanbad, Jharkhand, India Vinay Sharma Department, Production Engineering, B.I.T. Mesra, Ranchi, Jharkhand, India ABSTRACT Direct Metal Deposition (DMD) process is an important component in many industrial operations. The DMD parameters are the most important factors affecting the quality, productivity and cost of metal depositin. This paper presents the influence of DMD parameters like Laser power, laser scan speed, powder mass flow rate on height deposition in DMD. A plan of experiments based on Taguchi technique has been used to acquire the data. An Orthogonal array, signal to noise (S/N) ratio and analysis of variance (ANOVA) are employed to investigate the DMD characteristics & optimize the height deposition. Finally the conformations tests have been carried out to compare the predicated values with the experimental values confirm its effectiveness in the analysis of penetration. Key words: Direct Metal Deposition, optimization, orthogonal array, S/N ratio, Software Minitab15, Taguchi method 240
2 Optimization of Process parameters in Direct Metal Deposition Technique using Taguchi method Cite this Article Subodh Kumar, Ajit Kumar Singh Choudhary, Jamshed Anwar and Vinay Sharma, Optimization of Process parameters in Direct Metal Deposition Technique using Taguchi method. International Journal of Mechanical Engineering and Technology, 7(3), 2016, pp INTRODUCTION Direct metal deposition (DMD) combines powder metallurgy, laser, nozzle and numeric control technologies. Similar to SLS and SLM, laser metal deposition uses a high-power laser beam for layer fabrication. However, instead of dispensing beds of powder over a movable platform inside a containing chamber, the powder is delivered remotely to a metallic substrate via a supply nozzle. This characteristic implies that the powder, same as the laser beam, can be freely delivered in any orientation, be it vertical, horizontal or inclined. A robotic arm can be used for these purposes [1]. Moreover, layer fabrication can be carried out over a flat or round substrate. As the powder does not need to be accommodated into a carefully-laid flat powder bed inside an enclosed chamber, the process can be well-fitted for the processing of large-size components [2,3]. As DMD is carried out on a solid substrate, the issues of melt pool control, such as capillary flow through voids and balling effect that occur in SLM are not encountered. As a result, most commercially available metallic powders can be processed. Moreover, blends of different powder materials can be supplied during layer fabrication in order to create graded materials or even to create in-situ alloys, which is an unparalleled capability of DMD [4]. Figure.1 Illustrates the basic working principle of DMD. A high power laser beam is made to scan over a metal base. As the laser beam generates a small melt pool on the substrate, the powder delivered through a nozzle is melted and fused to the melt pool and bonded to the substrate as a line or track of newly added material. The process continues with the laser scanning according to pre-defined programming of the CNC system or robotic arm without the need for intermediate operations of Figure 1 Schematic Diagram of the DMD process 2. TAGUCHI S DESIGN METHOD: Taguchi Technique is applied to plan the experiments. The Taguchi method has become a powerful tool for improving productivity during research and development, so that high quality products can be produced quickly and at low cost. Dr.Taguchi of Nippon Telephones and Telegraph Company, Japan has developed a method based on" ORTHOGONAL ARRAY" experiments which hgives much reduced "variance" for the experiment with "optimum settings" of control parameters. Thus the marriage 241
3 Subodh Kumar, Ajit Kumar Singh Choudhary, Jamshed Anwar and Vinay Sharma of Design of Experiments with optimization of control parameters to obtain best results is achieved in the Taguchi Method."Orthogonal Arrays" (OA) provide a set of well balanced (minimum) experiments and Dr. Taguchi's Signal-to-Noise ratios (S/N), which are log functions of desired output, serve as objective functions for optimization, help in data analysis and prediction of optimum results[5] DMD PARAMETERS AND THEIR LVELS Table 2.1 Factors and their levels Symbol Factor Level 1 Level 2 Level 3 P Laser Power(kw) U Laser scan speed(m/min) M Powder feed rate(g/min) L9 3 Level Taguchi Orthogonal Array Table 2.2 L Orthogonal array of Taguchi 9 Trial P U M 3. ANALYSIS OF S/N RATIO In the present investigation L 9 orthogonal array was selected and it has 9 rows and 3 columns. The selection of the orthogonal array is based on the condition that the degree of freedom of the orthogonal array should be greater than, or equal to the sum of the variables. Each variable and the corresponding interactions were assigned to a colum defined by Taguchi method. In the study of prediction of height deposition in the direct metal deposition is carried out by selecting laser power (p), laser scan speed (u) and mass flow rate (m), as control variables. The control variables and their levels are shown in table 1.1 and table 1.2 shows the standard L 9 orthogonal array. The first column was assigned to laser power (p), the second column to laser scan speed. The response variable to be studied is height deposit. The experiments were conducted by the other researcher[7], and the value of response variable is calculated through mathematical model developed by the author. Since the model has been validated through experimentally [ruam et al] and once the value of dimeensionless constant C has been considered in the developed model, it may be used as virtual experiments. The virtual experiments were conducted based on the rank generated by Taguchi model and the results were obtained. The analysis of virtual experiments was carried out using MINITAB 15 software, which is specially used in DOE applications. The experimental results were transformed to into Signal to Noise (S/N) ratio. S/N 242
4 Optimization of Process parameters in Direct Metal Deposition Technique using Taguchi method ratio is defined as the ratio of the mean of the signal to the standard deviation of the noise. The S/N indicates the degree of predictable perfomance of a process in the presence of noise factor. The S/N ratio is calculated using larger the better characteristics, which can be calculated as a logrithmic transformation of the loss function, and is given in the equation 1.1 n 1 1 i 10log10 2 n i 1 yi where, i is S/N ratio at the i th (1.1) trial or experimental run, yi is observed response or quality value at the i th trial or experimental run, and n is the number of trials at the same parameter level. 1 2 f cp Tm u h m( p pc ) Z (1.2) The hypothetical experiments were conducted (usnig model eqn. 1.2)developed by the author[7] as per orthogonal array and the height deposit results obtained from model for various combinations of parameters are shown in Table 1.2. the calculated values from model were transformed into S/N ratios for measuring the quality characteristics using MINITAB 15. The S/N ratio obtained from all calculation (hypothetical experiments) are shown in Table 1.3. SI. NO. Table 3.1 Height and S/N ratio obtained as per Taguchi L Orthogonal Array 9 Laser Power(KW) Laser Scan Speed(m/min) 1 4 Powder Feed Rate(g/min Height(mm) Deposit from the model S/N Ratio
5 Subodh Kumar, Ajit Kumar Singh Choudhary, Jamshed Anwar and Vinay Sharma Figure 3.1 Main Effects Plots for Means 3.1. Response table for s/n ratio Figure 3.2 Main Effects Plots for S-N Ratio Table 3.2 Response Table for S-N ratio larger is better (deposit height) Level Laser Power(KW) Laser scan speed(m/min) Mass flow rate(g/min) Delta Rank The influence of control parameters such as laser power, laser scan speed and mass flow rate on height deposit has been evaluated using S/N ratio response analysis. The control parameters with the strongest influence was determined by the difference between the maximum and minimum value of the mean of the S/N ratios. Higher the difference between the mean of S/N ratios, the more influential was the control parameter. The S/N ratio response analysis presented in table 1.4 shows that among all the factors, laser scan speed was the most influential and significant parameter followed by mass flow rate and laser power. Figure 1.1 shows the mean of height deposit graphically and figure 1.2 depicts the main effects plot for means of S/N ratio 244
6 Optimization of Process parameters in Direct Metal Deposition Technique using Taguchi method for height deposit. From the analysis of these results, it can be inferred that, parameter combination of laser scan speed (u) = 0.3 m/min, mass flow rate (m) = 11 g/min and laser power (p) = 1.50 KW gave the maximum height deposit for the range of parameters tested. 4. ANOVA AND EFFECTS OF PARAMETERS ON HEIGHT DEPOSIT Analysis of variance (Anova) was used to determine the design parameters significantly influencing the height deposit (response). The table shows the results of Anova for height deposit. This analysis was evaluated for a confidence level of 95%, that is for significance level of = Table 4.1 ANOVA Result for Height Source DF Adj SS Adj MS F-Value P-Value Laser Power(KW) Scan Speed(m/min) Mass flow rate(g/min) Error Total Notes: DF, Degrees of freedom; Adj SS, Adjusted sum of squares; Adj MS, Adjusted mean Squares S= R-sq =99.38% R-sq (adj)= 97.53% R-sq(pred)= 87.48% It can be observed from the results obtained in the table 1.5 that laser scan speed was the most significant parameter having the highest statistical influence (P=0.007) and the mass flow rate(p=0.111) followed by laser power(p=0.203). When the P- value for this model is less than 0.05, then the parameter can be considered as statistically significant. This is desirable as it demonstrates that the parameter in the model has a significant effect on the response. The coefficient of determination (R 2 ) is defined as the ratio of the explained variation to the total variation. It is a measure of the degree of the fit. When R 2 approaches unity a better response model results and it fits the actual data. The value of R 2 calculated for this model was 0.994, i.e., very close to unity, and thus acceptable. It demonstrates that of the variability in the data can be explained by this model. Thus, it is conferred that this model provides reasonably good explanation of the relationship between the independent factors and the response. 5. MULTIPLE LINEAR REGRESSION MODEL A multiple linear regression analysis attempts to model the relationship between two or more predictor variables and a response variable by fitting a linear equation to the observed data. Best on the virtual experimental results, multiple linear regression models were developed using MINITAB15. Regression equations thus generated establish correlation between the significant terms obtained from ANOVA, namely laser scan speed, mass flow rate and laser power
7 Subodh Kumar, Ajit Kumar Singh Choudhary, Jamshed Anwar and Vinay Sharma Table 5.1 Prediction required to generate regression equation Predictor Coef SE Coef T P Constant Laser Power(KW) Laser scan speed(m/min) Mass flow rate (g/min) S = R-Sq = 92.3% R-Sq (adj) = 87.7% The regression equation generated from the table 1.6 is as: Height deposit (mm) = Laser Power (KW) Laser scan Speed (m/min) mass flow rate (g/min) (1.3) Since regression equation for height deposit is a function of the parameters like laser power, laser scan feed and mass flow rate. But from the table 1.6, it is found that laser power parameter has P-value 0.269, which is non-significance. So this parameter has lesser effect on the height deposit (response). The equation (1.3) can be used to predict the height deposit in the DMD. The constant in the equation is the residue. The regression coefficient (R 2 ) obtained for the model was The coefficient associated with laser power (P) in the regression equation is positive and it indicates that as the laser power increases, the height deposit in DMD is also increases. The coefficient associated with the laser scan speed (u) is negative and this suggest that the height deposit decreases with increase in laser scan speed. Similarly the positive coefficient associated with mass flow rate indicates that as the mass flow rate (m) increases, the height deposit also increases. 6. THE CONFIRMATION TEST In order to provide the regression model, confirmation height deposit tests were conducted with parameter levels that were different from those used for analysis. The different parameters levels chosen for the confirmation tests are shown in table 1.7. The results of the confirmation test were obtained and a comparison was made between the virtual experimental height deposit and the computed values obtained from the regression model(table 1.8). The error associated with the relationship between the virtual experimental values and the computed values of the regression model for DMD was very less. Hence the regression model developed demonstrates a feasible and effective way to predict the height deposit in the DMD. Table 6.1 Parameters used for confirmation test Test No. Laser Power(KW) Laser Scan Speed(m/min) Mass flow rate(g/min)
8 Optimization of Process parameters in Direct Metal Deposition Technique using Taguchi method Table 6.2 Confirmation test results Test No. Experiment Model of equations Error (%) CONCLUSION This chapter deals with the statistical analysis carried on the DMD to predict the height deposit for different control variables. Control variables selected are laser power, laser scan speed and mass flow rate. Taguchi s Design of Experiments is used for this purpose. The analysis is carried out by varying the control variables upto three levels. ANOVA and S/N ratio analysis is carried out to predict the influential parameter contributing to the height deposit in the DMD. Multiple linear regression analysis is carried out to build height deposit model which can be used to predict height deposit in DMD for different control variables. Finally confirmation test are carried out to validate the height deposit model. REFERENCES [1] Nowotny, S., Scharek, S., Kempe, F., and Beyer, E. COAXn: Modular system of powder nozzles for laser beam build-up welding in 22nd International Congress on Applications of Lasers and Electro-Optics Jacksonville, FL, USA. [2] Fraunhofer_Iws. Laser cladding/ build-up welding. [Internet] Available from: chnologies/laser_cladding/service_offers.html. [Cited July 2012]. [3] Laser_Cladding_Technology_Ltd. Laser cladding process. [Internet] Available from: Process.aspx. [Cited July 2012 [4] Levy, G.N., Schindel, R., and Kruth, J.P., Rapid manufacturing and rapid tooling with layer manufacturing (LM), state of the art and future perspectives. CIRP Annals - Manufacturing Technology, (2): pp. [5] Post Graduate Student, 2Professor, Mechanical Engineering, Rajarambapu Institute of [6] Technology, Sakharale , Maharashtra, India, International Journal of Advanced Engineering Research and Studies E-ISSN ] [7] Mondol, Subrata, Bandhopadhya Asis, Kumar Pal Pradip., An Artificial Neural Network approach for the process prediction of laser cladding using co 2 laser, Global trends and challenges in design and manufacturing proc of the 3 rd intl.and 24 AIMTDR Conf, 2010 pp [8] Ajeet Kumar Rai, Richa Dubey, Shalini Yadav and Vivek Sachan, Turning Parameters Optimization for Surface Roughness by Taguchi Method. International Journal of Mechanical Engineering and Technology, 4(3), 2012, pp
9 Subodh Kumar, Ajit Kumar Singh Choudhary, Jamshed Anwar and Vinay Sharma [9] Raj Kumar Yadav Rahul Kankane and Sandhya Yadav, Parametric Optimisation of Heat Exchanger with the Help of Taguchi Method A-Review. International Journal of Mechanical Engineering and Technology, 6(10), 2015, pp [10] R. R. Deshmukh and V. R. Kagade, Optimization of Surface Roughness In Turning High Carbon High Chromium Steel by Using Taguchi Method. International Journal of Mechanical Engineering and Technology, 3(1), 2012, pp [11] Kumar S, Sharma V, Kumar, Choudhary AKS, et al (2013) Determination of layer thickness in direct metal deposition using dimensional analysis: Int J Adv Manuf Technol, 67:
Optimization of Radial Force in Turning Process Using Taguchi s Approach
5 th International & 6 th All India Manufacturing Technology, Design and Research Conference (AIMTDR 04) December th 4 th, 04, IIT Optimization of Radial Force in Turning Process Using Taguchi s Approach
More informationExperimental Study on Parametric Optimization of Titanium based Alloy (Ti-6Al-4V) in Electrochemical Machining Process
Experimental Study on Parametric Optimization of Titanium based Alloy (Ti-6Al-4V) in Electrochemical Machining Process Pravin D.Babar Mechanical Engineering Department, Rajarambapu Institute of Technology
More informationOptimization Of Process Parameters In Drilling Using Taguchi Method
Optimization Of Process Parameters In Drilling Using Taguchi Method 1 P.Surendra, 2 B.Krishna Murthy, 3 M.V.Kiran Kumar 1 Associate Professor, 2 Assistant Professor, 3 Assistant Professor Department of
More informationOptimization of Process Parameters in CNC Drilling of EN 36
Optimization of Process Parameters in CNC ing of EN 36 Dr. K. Venkata Subbaiah 1, * Fiaz khan 2, Challa Suresh 3 1 Professor, Department of Mechanical Engineering, Andhra University, Visakhapatnam, Andhra
More informationPuttur, Andhra Pradesh, India , Andhra Pradesh, India ,
th International & th All India Manufacturing Technology, Design and Research Conference (AIMTDR ) December th th,, IIT Guwahati, Assam, India OPTIMIZATI OF DIMENSIAL DEVIATI:WIRE CUT EDM OF VANADIS- E
More informationStatistical and regression analysis of Material Removal Rate for wire cut Electro Discharge Machining of SS 304L using design of experiments
Vol. 2(5), 200, 02028 Statistical and regression analysis of Material Removal Rate for wire cut Electro Discharge Machining of SS 304L using design of experiments Vishal Parashar a*, A.Rehman b, J.L.Bhagoria
More informationOptimization of Machining Parameters in ECM of Al/B4C Composites Using Taguchi Method
International Journal of Applied Science and Engineering 2014. 12, 2: 87-97 Optimization of Machining Parameters in ECM of Al/B4C Composites Using Taguchi Method S. R. Rao a* and G. Padmanabhan b a Department
More informationOptimization of Machining Parameters in Wire Cut EDM of Stainless Steel 304 Using Taguchi Techniques
Advanced Materials Manufacturing & Characterization Vol. 8 Issue 1 (018) Advanced Materials Manufacturing & Characterization journal home page: www.ijammc-griet.com Optimization of Machining Parameters
More informationParameter Optimization of EDM on En36 Alloy Steel For MRR and EWR Using Taguchi Method
IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-184,p-ISSN: 2320-334X, Volume 13, Issue 3 Ver. VII (May- Jun. 201), PP 5-5 www.iosrjournals.org Parameter Optimization of EDM on
More informationExperimental Investigation of CNC Turning Process Parameters on AISI 1018 carbon steel
Experimental Investigation of CNC Turning Process Parameters on AISI 1018 carbon steel Bijo Mathew 1,Edin Michael 2 and Jervin Das 3 1,2,3 Faculty, Department of Mechanical Engineering, Bishop Jerome institute,kollam,india
More informationPost Graduate Scholar, Department of Mechanical Engineering, Jalpaiguri Govt. Engineering College, India. 2
International Journal of Technical Research and Applications e-issn: 30-8163, www.ijtra.com Volume 3, Issue 3 (May-June 015), PP. 5-60 INFLUENCE OF CONTROL PARAMETERS ON IN ELECTRICAL DISCHARGE MACHINING
More informationDrilling Mathematical Models Using the Response Surface Methodology
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:5 No:06 9 Drilling Mathematical Models Using the Response Surface Methodology Panagiotis Kyratsis, Nikolaos Taousanidis, Apostolos
More informationOptimization of Machining Process Parameters in Drilling of
Optimization of Machining Process Parameters in Drilling of CFRP Using Multi-Objective Taguchi Technique, TOPSIS and RSA Optimization of Machining Process Parameters in Drilling of CFRP Using Multi-Objective
More informationApplication of a Diagnostic Tool in Laser Aided Manufacturing Processes
Application of a Diagnostic Tool in Laser Aided Manufacturing Processes Sashikanth Prakash, Mallikharjuna Rao Boddu and Frank Liou Department of Mechanical, Aerospace and Engineering Mechanics University
More informationEffect and Optimization of EDM Process Parameters on Surface Roughness for En41 Steel
, pp. 33-358 http://dx.doi.org/10.157/ijhit.01.9.5.9 Effect and Optimization of EDM Process Parameters on Surface Roughness for En1 Steel Ch. Maheswara Rao 1 and K.Venkatasubbaiah 1 (Assistant Professor,
More informationRESPONSE SURFACE ANALYSIS OF EDMED SURFACES OF AISI D2 STEEL
Advanced Materials Research Vols. 264-265 (2011) pp 1960-1965 Online available since 2011/Jun/30 at www.scientific.net (2011) Trans Tech Publications, Switzerland doi:10.4028/www.scientific.net/amr.264-265.1960
More informationA Parametric Optimization of Electric Discharge Drill Machine Using Taguchi Approach
A Parametric Optimization of Electric Discharge Drill Machine Using Taguchi Approach Samar Singh, Lecturer, Dept of Mechanical Engineering, R.P. Indraprastha Institute of Technology (Karnal) MukeshVerma,
More informationDetermination of Machining Parameters of Corn Byproduct Filled Plastics
Paper 99, IT 3 Determination of Machining Parameters of Corn Byproduct Filled Plastics Kurt A. osentrater, Ph.D. Lead Scientist, Agricultural and Bioprocess Engineer, USDA, Agricultural esearch Service,
More informationOptimization of EDM process parameters using Response Surface Methodology for AISI D3 Steel
Optimization of EDM process parameters using Response Surface Methodology for AISI D3 Steel Mr.B.Gangadhar 1, Mr.N. Mahesh Kumar 2 1 Department of Mechanical Engineering, Sri Venkateswara College of Engineering
More informationParameters Optimization of Rotary Ultrasonic Machining of Glass Lens for Surface Roughness Using Statistical Taguchi s Experimental Design
Parameters Optimization of Rotary Ultrasonic Machining of Glass Lens for Surface Roughness Using Statistical Taguchi s Experimental Design MUHAMMAD HISYAM LEE Universiti Teknologi Malaysia Department of
More informationAssociate Professor, Department of Mechanical Engineering, Birla Institute of Technology, Mesra, Ranchi, India
Optimization of machine process parameters on material removal rate in EDM for EN19 material using RSM Shashikant 1, Apurba Kumar Roy 2, Kaushik Kumar 2 1 Research Scholar, Department of Mechanical Engineering,
More informationDetermining Machining Parameters of Corn Byproduct Filled Plastics
Iowa State University From the SelectedWorks of Kurt A. Rosentrater 8 Determining Machining Parameters of Corn Byproduct Filled Plastics Kurt A. Rosentrater, United States Department of Agriculture Andrew
More informationEXPERIMENTAL INVESTIGATION OF HIGH SPEED DRILLING OF GLASS FIBER REINFORCED PLASTIC (GFRP) COMPOSITE LAMINATES MADE UP OF DIFFERENT POLYMER MATRICES
International Journal of Mechanical and Production Engineering Research and Development (IJMPERD) ISSN (P): 2249-6890; ISSN (E): 2249-8001 Vol. 7, Issue 6, Dec 2017, 351-358 TJPRC Pvt. Ltd EXPERIMENTAL
More informationSix Sigma Black Belt Study Guides
Six Sigma Black Belt Study Guides 1 www.pmtutor.org Powered by POeT Solvers Limited. Analyze Correlation and Regression Analysis 2 www.pmtutor.org Powered by POeT Solvers Limited. Variables and relationships
More informationModeling and Optimization of WEDM Process Parameters on Machining of AISI D2 steel using Response Surface Methodology (RSM)
Modeling and Optimization of WEDM Process Parameters on Machining of AISI D2 steel using Response Surface Methodology (RSM) Sk. Mohammed Khaja 1, Ratan Kumar 2 Vikram Singh 3 1,2 CIPET- Hajipur, skmdkhaja@gmail.com
More informationParametric Study and Optimization of WEDM Parameters for Titanium diboride TiB2
Parametric Study and Optimization of WEDM Parameters for Titanium diboride TiB2 Pravin R. Kubade 1, Sunil S. Jamadade 2, Rahul C. Bhedasgaonkar 3, Rabiya Attar 4, Naval Solapure 5, Ulka Vanarase 6, Sayali
More informationMATRIX EXPERIMENTS USING ORTHOGONAL ARRAYS
MATRIX EXPERIMENTS USING ORTHOGONAL ARRAYS 8Feb-1Mar 01 P.R. Apte : 3-Day Taguchi Method Workshop at UNIMAP Matrix Expt 1 MATRIX EXPERIMENTS USING ORTHOGONAL ARRAY DESCRIPTION OF 'CVD' PROCESS UNDER STUDY
More informationCHAPTER 6 A STUDY ON DISC BRAKE SQUEAL USING DESIGN OF EXPERIMENTS
134 CHAPTER 6 A STUDY ON DISC BRAKE SQUEAL USING DESIGN OF EXPERIMENTS 6.1 INTRODUCTION In spite of the large amount of research work that has been carried out to solve the squeal problem during the last
More informationTAGUCHI ANOVA ANALYSIS
CHAPTER 10 TAGUCHI ANOVA ANALYSIS Studies by varying the fin Material, Size of Perforation and Heat Input using Taguchi ANOVA Analysis 10.1 Introduction The data used in this Taguchi analysis were obtained
More informationLecture 18: Simple Linear Regression
Lecture 18: Simple Linear Regression BIOS 553 Department of Biostatistics University of Michigan Fall 2004 The Correlation Coefficient: r The correlation coefficient (r) is a number that measures the strength
More informationDrilling Uni-Directional Fiber-Reinforced Plastics Manufactured by Hand Lay-Up: Influence of Fibers
American Journal of Materials Science and Technology doi:10.7726/ajmst.2012.1001 Research Article Drilling Uni-Directional Fiber-Reinforced Plastics Manufactured by Hand Lay-Up: Influence of Fibers Dilli
More informationExperimental Studies on Properties of Chromite-based Resin Bonded Sand System
Experimental Studies on Properties of Chromite-based Resin Bonded Sand System SUREKHA BENGULURI Research Scholar, JNTUH & Department of Mechanical Engineering DVR & Dr. HS MIC College of Technology Kanchikacherla,
More informationNUMERICAL INVESTIGATION OF COUNTER FLOW ISOSCELES RIGHT TRIANGULAR MICROCHANNEL HEAT EXCHANGER
International Journal of Mechanical Engineering and Technology IJMET) Volume 8, Issue 1, January 217, pp. 81 87, Article ID: IJMET_8_1_9 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=8&itype=1
More informationExperimental Data Mining Techniques (Using Multiple Statistical Methods)
www.ijcsi.org 132 Experimental Data Mining Techniques (Using Multiple Statistical Methods) Mustafa Zaidi 1, Bushra A. Saeed 2, I. Amin 3 and Nukman Yusoff 4 1 Department of Computer Science, SZABIST Karachi,
More informationOptimization of Cutting Parameter of (SS302) on EDM using Taguchi Method Chintan A. Prajapati 1 Prof. Dr. Prashant Sharma 2 Prof.
IJSRD - International Journal for Scientific Research & Development Vol. 2, Issue 01, 14 ISSN (online): 2321-013 Optimization of tting Parameter of (SS302) on EDM using Taguchi Method Chintan A. Prajapati
More informationOptimization of delamination factor in drilling of carbon fiber filled compression molded GFRP composite
Optimization of delamination in drilling of carbon fiber filled compression molded GFRP composite Anurag Gupta 1 Ajay Singh Verma Sandeep Chhabra Ranjeet Kumar Assistant professor, Department of Mechanical
More informationOptimization of MRR and SR by employing Taguchis and ANOVA method in EDM
Optimization of and SR by employing Taguchis and ANOVA method in EDM Amardeep Kumar 1, Avnish Kumar Panigrahi 2 1M.Tech, Research Scholar, Department of Mechanical Engineering, G D Rungta College of Engineering
More informationModeling of Wire Electrical Discharge Machining of AISI D3 Steel using Response Surface Methodology
5 th International & 26 th All India Manufacturing Technology, Design and Research Conference (AIMTDR 214) December 12 th 14 th, 214, IIT Guwahati, Assam, India Modeling of Wire Electrical Discharge Machining
More informationOptimizing Feed and Radial Forces on Conventional Lathe Machine of En31b Alloy Steel through Taguchi s Parameter Design Approach
RESEARCH ARTICLE OPEN ACCESS Optimizing Feed and Radial Forces on Conventional Lathe Machine of En31b Alloy Steel through Taguchi s Parameter Design Approach Mohd. Rafeeq 1, Mudasir M Kirmani 2 1 Assistant
More informationChapter 4 - Mathematical model
Chapter 4 - Mathematical model For high quality demands of production process in the micro range, the modeling of machining parameters is necessary. Non linear regression as mathematical modeling tool
More informationVOL. 11, NO. 2, JANUARY 2016 ISSN
MULTIPLE-PERFORMANCE OPTIMIZATION OF DRILLING PARAMETERS AND TOOL GEOMETRIES IN DRILLING GFRP COMPOSITE STACKS USING TAGUCHI AND GREY RELATIONAL ANALYSIS (GRA) METHOD Gallih Bagus W. 1, Bobby O. P. Soepangkat
More informationExperimental Investigation of Micro-EDM Process on Brass using Taguchi Technique
Experimental Investigation of Micro-EDM Process on Brass using Taguchi Technique Ananya Upadhyay ananya.upadhyay@gmail.com Vijay Pandey Vinay Sharma Ved Prakash CSIR- Central Mechanical Engineering Research
More informationOPTIMIZATION OF MATERIAL REMOVAL RATE AND SURFACE ROUGHNESSIN WED-MACHINING OF TiNi SMA USING GREY RELATION ANALYSIS
OPTIMIZATION OF MATERIAL REMOVAL RATE AND SURFACE ROUGHNESSIN WED-MACHINING OF TiNi SMA USING GREY RELATION ANALYSIS Manjaiah M 1*, Narendranath S 2, Basavarajappa S 3 1* Dept. of Mechanical Engineering,
More informationINFERENCE FOR REGRESSION
CHAPTER 3 INFERENCE FOR REGRESSION OVERVIEW In Chapter 5 of the textbook, we first encountered regression. The assumptions that describe the regression model we use in this chapter are the following. We
More informationThe Effect of Coolant in Delamination of Basalt Fiber Reinforced Hybrid Composites During Drilling Operation
IJIRST International Journal for Innovative Research in Science & Technology Volume 3 Issue 01 June 2016 ISSN (online): 23496010 The Effect of Coolant in of Basalt Fiber Reinforced Hybrid Composites During
More informationTaguchi-grey relational based multi response optimization of electrical process parameters in electrical discharge machining
Indian Journal of Engineering & Materials Science Vol. 20, December 2013, pp. 471-475 Taguchi-grey relational based multi response optimization of electrical process parameters in electrical discharge
More informationChapter 5 EXPERIMENTAL DESIGN AND ANALYSIS
Chapter 5 EXPERIMENTAL DESIGN AND ANALYSIS This chapter contains description of the Taguchi experimental design and analysis procedure with an introduction to Taguchi OA experimentation and the data analysis
More information1 Introduction to Minitab
1 Introduction to Minitab Minitab is a statistical analysis software package. The software is freely available to all students and is downloadable through the Technology Tab at my.calpoly.edu. When you
More informationInference for Regression Inference about the Regression Model and Using the Regression Line
Inference for Regression Inference about the Regression Model and Using the Regression Line PBS Chapter 10.1 and 10.2 2009 W.H. Freeman and Company Objectives (PBS Chapter 10.1 and 10.2) Inference about
More informationOptimization of process parameter in electrochemical machining. Of Inconel 718 by Taguchi analysis
International Journal of Engineering Research and General Science Volume, Issue, January-February, 05 ISSN 09-70 Optimization of process parameter in electrochemical machining Of Inconel 78 by Taguchi
More informationProcess optimization of PCB Micro-Drilling Process
Process optimization of PCB Micro-Drilling Process 1 Hardik B.Prajapati, 2 Bindu Pillai 1 M.Tech Student, 2 Associate Professor, 1 Department of Mechanical Engineering, Charotar University of Science and
More information6340(Print), ISSN (Online) Volume 3, Issue 3, Sep- Dec (2012) IAEME AND TECHNOLOGY (IJMET)
INTERNATIONAL International Journal of Mechanical JOURNAL Engineering OF MECHANICAL and Technology (IJMET), ENGINEERING ISSN 0976 AND TECHNOLOGY (IJMET) ISSN 0976 6340 (Print) ISSN 0976 6359 (Online) Volume
More informationAn investigation of material removal rate and kerf on WEDM through grey relational analysis
Journal of Mechanical Engineering and Sciences ISSN (Print): 2289-4659; e-issn: 2231-8380 Volume 12, Issue 2, pp. 3633-3644, June 2018 Universiti Malaysia Pahang, Malaysia DOI: https://doi.org/10.15282/jmes.12.2.2018.10.0322
More informationOptimization of WEDM Parameters for Super Ni-718 using Neutrosophic Sets and TOPSIS Method
Optimization of WEDM Parameters for Super Ni-718 using Neutrosophic Sets and TOPSIS Method Y Rameswara Reddy 1*, B Chandra Mohan Reddy 2 1,2 Department of Mechanical Engineering, Jawaharlal Nehru Technological
More informationEffect Of Drilling Parameters In Drilling Of Glass Fiber Reinforced Vinylester/Carbon Black Nanocomposites
Effect Of ing Parameters In ing Of Glass Fiber Reinforced Vinylester/Carbon Black Nanocomposites R.M. Kulkarni, H. N. Narasimha Murthy, G.B.Rudrakshi, Sushilendra ABSTRACT: This paper focused on investigating
More information6340(Print), ISSN 0976 AND 6359(Online) TECHNOLOGY Volume 3, Issue 3, Sep- (IJMET) Dec (2012) IAEME
INTERNATIONAL International Journal of Mechanical JOURNAL Engineering OF MECHANICAL and Technology (IJMET), ENGINEERING ISSN 97 4(Print), ISSN 97 AND 9(Online) TECHNOLOGY Volume, Issue, Sep- (IJMET) Dec
More informationOPTIMIZATION OF PROCESS PARAMETERS IN ELECTROCHEMICAL DEBURRING OF DIE STEEL USING TAGUCHI METHOD
International Journal of Modern Manufacturing Technologies ISSN 2067 3604, Vol. IV, No. 1 / 2012 121 OPTIMIZATION OF PROCESS PARAMETERS IN ELECTROCHEMICAL DEBURRING OF DIE STEEL USING TAGUCHI METHOD Manoj
More informationTABLES AND FORMULAS FOR MOORE Basic Practice of Statistics
TABLES AND FORMULAS FOR MOORE Basic Practice of Statistics Exploring Data: Distributions Look for overall pattern (shape, center, spread) and deviations (outliers). Mean (use a calculator): x = x 1 + x
More informationModeling of Wire Electrical Discharge Machining Parameters Using Titanium Alloy (Ti-6AL-4V)
Modeling of Wire Electrical Discharge Machining Parameters Using Titanium Alloy (Ti-6AL-4V) Basil Kuriachen 1, Dr. Josephkunju Paul 2, Dr.Jose Mathew 3 1 Research Scholar, Department of Mechanical Engineering,
More informationStat 231 Final Exam. Consider first only the measurements made on housing number 1.
December 16, 1997 Stat 231 Final Exam Professor Vardeman 1. The first page of printout attached to this exam summarizes some data (collected by a student group) on the diameters of holes bored in certain
More informationOptimization of machining parameters of Wire-EDM based on Grey relational and statistical analyses
int. j. prod. res., 2003, vol. 41, no. 8, 1707 1720 Optimization of machining parameters of Wire-EDM based on Grey relational and statistical analyses J. T. HUANG{* and Y. S. LIAO{ Grey relational analyses
More informationSMAM 314 Practice Final Examination Winter 2003
SMAM 314 Practice Final Examination Winter 2003 You may use your textbook, one page of notes and a calculator. Please hand in the notes with your exam. 1. Mark the following statements True T or False
More informationModel Building Chap 5 p251
Model Building Chap 5 p251 Models with one qualitative variable, 5.7 p277 Example 4 Colours : Blue, Green, Lemon Yellow and white Row Blue Green Lemon Insects trapped 1 0 0 1 45 2 0 0 1 59 3 0 0 1 48 4
More informationMODELING OF SURFACE ROUGHNESS IN WIRE ELECTRICAL DISCHARGE MACHINING USING ARTIFICIAL NEURAL NETWORKS
Int. J. Mech. Eng. & Rob. Res. 013 P Vijaya Bhaskara Reddy et al., 013 Research Paper ISSN 78 0149 www.ijmerr.com Vol., No. 1, January 013 013 IJMERR. All Rights Reserved MODELING OF SURFACE ROUGHNESS
More informationPerformance analysis of µed-milling process using various statistical techniques
Int. J. Machining and Machinability of Materials, Vol. 11, No. 2, 2012 183 Performance analysis of µed-milling process using various statistical techniques G. Karthikeyan Department of Mechanical Engineering,
More informationEffect of Machining Parameters on Milled Natural Fiber- Reinforced Plastic Composites
Journal of Advanced Mechanical Engineering (2013) doi:10.7726/jame.2013.1001 Research Article Effect of Machining Parameters on Milled Natural Fiber- Reinforced Plastic Composites G Dilli Babu 1*, K. Sivaji
More informationOptimization of process parameters in drilling of EN 31 steel using Taguchi Method
Optimization of process parameters in drilling of EN 31 steel using Taguchi Method Adikesavulu.R PG student, Dept. of mechanical engg, MITS, Madanapalle, Chittoor (D) * r.adikesavulu@gmail.com Sreenivasulu.
More informationApplication of a Multi-Criteria-Decision-Making (MCDM) Method of TOPSIS in Drilling of AA6082
Application of a Multi-Criteria-Decision-Making (MCDM) Method of TOPSIS in Drilling of AA6082 Abstract Penuganti Padma *, M. Chaitanya Mayee * M. Tech, Department of Mechanical Engineering, S.V.P. Engineering
More informationImpact of Microchannel Geometrical Parameters in W-EDM Using RSM
International Journal of Bioinformatics and Biomedical Engineering Vol. 1, No. 2, 2015, pp. 137-142 http://www.aiscience.org/journal/ijbbe Impact of Microchannel Geometrical Parameters in W-EDM Using RSM
More informationModeling and Estimation of Grinding Forces for Mono Layer cbn Grinding Wheel
Research Article International Journal of Current Engineering and Technology E-ISSN 2277 46, P-ISSN 2347-5161 14 INPRESSCO, All Rights Reserved Available at http://inpressco.com/category/ijcet Modeling
More informationEXPERIMENTAL INVESTIGATIONS ON ORBITAL ELECTRO DISCHARGE MACHINING OF INCONEL 718 USING TAGUCHI TECHNIQUE
International Journal of Modern Manufacturing Technologies ISSN 2067 3604, Vol. IV, No. 1 / 2012 53 EXPERIMENTAL INVESTIGATIONS ON ORBITAL ELECTRO DISCHARGE MACHINING OF INCONEL 718 USING TAGUCHI TECHNIQUE
More informationExamination paper for TMA4255 Applied statistics
Department of Mathematical Sciences Examination paper for TMA4255 Applied statistics Academic contact during examination: Anna Marie Holand Phone: 951 38 038 Examination date: 16 May 2015 Examination time
More informationOptimization of Muffler and Silencer
Chapter 5 Optimization of Muffler and Silencer In the earlier chapter though various numerical methods are presented, they are not meant to optimize the performance of muffler/silencer for space constraint
More informationMATHEMATICAL MODELLING TO PREDICT THE RESIDUAL STRESSES INDUCED IN MILLING PROCESS
International Journal of Mechanical and Production Engineering Research and Development (IJMPERD) ISSN(P): 2249-6890; ISSN(E): 2249-8001 Vol. 8, Issue 1 Feb 2018, 423-428 TJPRC Pvt. Ltd. MATHEMATICAL MODELLING
More informationCHAPTER 5 NON-LINEAR SURROGATE MODEL
96 CHAPTER 5 NON-LINEAR SURROGATE MODEL 5.1 INTRODUCTION As set out in the research methodology and in sequent with the previous section on development of LSM, construction of the non-linear surrogate
More informationStudy of water assisted dry wire-cut electrical discharge machining
Indian Journal of Engineering & Materials Sciences Vol. 1, February 014, pp. 75-8 Study of water assisted dry wire-cut electrical discharge machining S Boopathi* & K Sivakumar Department of Mechanical
More informationStudy of the effect of machining parameters on material removal rate and electrode wear during Electric Discharge Machining of mild steel
Journal of Engineering Science and Technology Review 5 (1) (2012) 14-18 Research Article JOURNAL OF Engineering Science and Technology Review www.jestr.org Study of the effect of machining parameters on
More informationExperimental Investigation of Machining Parameter in Electrochemical Machining
Experimental Investigation of Machining Parameter in Electrochemical Machining Deepanshu Shrivastava 1, Abhinav Sharma 2, Harsh Pandey 2 1 M.TECH Sholar, DR.C.V. RAMAN UNIVERSITY, KOTA C.G.,INDIA 2 M.TECH
More informationEXPERIMENTAL STUDY ON A CASCADED PCM STORAGE RECEIVER FOR PARABOLIC DISH COLLECTOR
International Journal of Mechanical Engineering and Technology (IJMET) Volume 8, Issue 11, November 217, pp. 91 917, Article ID: IJMET_8_11_92 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=8&itype=11
More informationMODELING AND OPTIMIZATION FOR DRILLING OF HIGH ASPECT RATIO BLIND MICRO HOLES IN MICRO EDM
MODELING AND OPTIMIZATION FOR DRILLING OF HIGH ASPECT RATIO BLIND MICRO HOLES IN MICRO EDM Swapan Barman 1*, Kousv Mondol 2, Nagahanumaiah 3, Asit Baran Puri 4 1* CSIR-Central Mechanical Engineering Research
More informationIntroduction to Regression
Introduction to Regression Using Mult Lin Regression Derived variables Many alternative models Which model to choose? Model Criticism Modelling Objective Model Details Data and Residuals Assumptions 1
More informationApplication of Taguchi method in optimization of control parameters of grinding process for cycle time reduction Snehil A. Umredkar 1, Yash Parikh 2
Application of Taguchi method in optimization of control parameters of grinding process for cycle time reduction Snehil A. Umredkar, Yash Parikh 2 (Department of Mechanical Engineering, Symbiosis Institute
More informationMODELING AND ANALYSIS OF HEXAGONAL UNIT CELL FOR THE PREDICTION OF EFFECTIVE THERMAL CONDUCTIVITY
International Journal of Mechanical Engineering and Technology (IJMET) Volume 8, Issue 5, May 2017, pp. 651 655, Article ID: IJMET_08_05_071 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=8&itype=5
More informationA Study on Parameter Optimization of the Delamination Factor (F d ) in Milling Kenaf Fiber Reinforced Plastics Composite Materials Using DOE Method
Journal of Mechanical Engineering Vol. SI 3 (1), 211-224, 2017 A Study on Parameter Optimization of the Delamination Factor (F d ) in Milling Kenaf Fiber Reinforced Plastics Composite Materials Using DOE
More informationINTERNATIONAL JOURNAL OF ADVANCED RESEARCH IN ENGINEERING AND TECHNOLOGY (IJARET) FUZZY FINITE ELEMENT ANALYSIS OF A CONDUCTION HEAT TRANSFER PROBLEM
INTERNATIONAL JOURNAL OF ADVANCED RESEARCH IN ENGINEERING AND TECHNOLOGY (IJARET) International Journal of Advanced Research in Engineering and Technology (IJARET), ISSN 0976 ISSN 0976-6480 (Print) ISSN
More informationSuppression of Machine Tool Vibration Using Passive Damping
ISSN 23951621 Suppression of Machine Tool Vibration Using Passive Damping #1 Nitasha B. Chaudhari, #2 R.N.Yerrawar 1 nitashachaudhari@gmail.com 2 rahul.yerrawar@mescoepune.org #12 Mechanical Engineering
More informationAnalysis of Covariance. The following example illustrates a case where the covariate is affected by the treatments.
Analysis of Covariance In some experiments, the experimental units (subjects) are nonhomogeneous or there is variation in the experimental conditions that are not due to the treatments. For example, a
More informationInternational Journal of Scientific & Engineering Research, Volume 5, Issue 1, January ISSN
International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January-2014 2026 Modelling of Process Parameters on D2 Steel using Wire Electrical Discharge Machining with combined approach
More informationApart from this page, you are not permitted to read the contents of this question paper until instructed to do so by an invigilator.
B. Sc. Examination by course unit 2014 MTH5120 Statistical Modelling I Duration: 2 hours Date and time: 16 May 2014, 1000h 1200h Apart from this page, you are not permitted to read the contents of this
More informationANALYSIS OF PARAMETRIC INFLUENCE ON DRILLING USING CAD BASED SIMULATION AND DESIGN OF EXPERIMENTS
5 th International Conference on Advances in Mechanical Engineering and Mechanics ICAMEM2010 18-20 December, 2010, Hammamet, Tunisia ANALYSIS OF PARAMETRIC INFLUENCE ON DRILLING USING CAD BASED SIMULATION
More information2.4.3 Estimatingσ Coefficient of Determination 2.4. ASSESSING THE MODEL 23
2.4. ASSESSING THE MODEL 23 2.4.3 Estimatingσ 2 Note that the sums of squares are functions of the conditional random variables Y i = (Y X = x i ). Hence, the sums of squares are random variables as well.
More informationA discussion on multiple regression models
A discussion on multiple regression models In our previous discussion of simple linear regression, we focused on a model in which one independent or explanatory variable X was used to predict the value
More informationEXAM IN TMA4255 EXPERIMENTAL DESIGN AND APPLIED STATISTICAL METHODS
Norges teknisk naturvitenskapelige universitet Institutt for matematiske fag Side 1 av 8 Contact during exam: Bo Lindqvist Tel. 975 89 418 EXAM IN TMA4255 EXPERIMENTAL DESIGN AND APPLIED STATISTICAL METHODS
More informationMultiple Regression. Inference for Multiple Regression and A Case Study. IPS Chapters 11.1 and W.H. Freeman and Company
Multiple Regression Inference for Multiple Regression and A Case Study IPS Chapters 11.1 and 11.2 2009 W.H. Freeman and Company Objectives (IPS Chapters 11.1 and 11.2) Multiple regression Data for multiple
More informationPrediction and analysis of radial overcut in holes drilled by electrochemical machining process
Cent. Eur. J. Eng. 3(3) 2013 466-474 DOI: 10.2478/s13531-011-0074-x Central European Journal of Engineering Prediction and analysis of radial overcut in holes drilled by electrochemical machining process
More informationModelling the shape of electron beam welding joints by neural networks
Journal of Physics: Conference Series PAPER OPEN ACCESS Modelling the shape of electron beam welding joints by neural networks To cite this article: T S Tsonevska et al 2018 J. Phys.: Conf. Ser. 1089 012008
More informationTaguchi Design of Experiments
Taguchi Design of Experiments Many factors/inputs/variables must be taken into consideration when making a product especially a brand new one The Taguchi method is a structured approach for determining
More informationStudy of EDM Parameters on Mild Steel Using Brass Electrode
Study of EDM Parameters on Mild Steel Using Brass Electrode Amit Kumar #1, Abhishek Gaikwad *2, Amit Tiwari #3 # 1,3, Production Engineering (ME), SSET, Allahabad-211007, SHIATS, Allahabad, Uttar Pradesh
More informationQuality Improvement in Hot Dip Galvanizing Process Using Robust Design tools
Quality Improvement in Hot Dip Galvanizing Process Using Robust Design tools Abdosalam R. Dalef 1 and Mohammed E. Alaalem 2 1 Faculty of Marine Resources, Al-Asmarya Islamic University, Zliten, Libya,
More informationAPPLICATION OF GREY RELATIONAL ANALYSIS TO MACHINING PARAMETERS DETERMINATION OF WIRE ELECTRICAL DISCHARGE MACHINING
APPLICATION OF GREY RELATIONAL ANALYSIS TO MACHINING PARAMETERS DETERMINATION OF WIRE ELECTRICAL DISCHARGE MACHINING J.T. Huang 1 and Y.S. Liao 1 Department of Automatic Engineering, Kaoyuan Institute
More information