Statistical Analysis and Optimization of Factors Affecting the Surface Roughness in UVaSPIF Process Using Response Surface Methodology
محورهای موضوعی : ChemistryMehdi Vahdati 1 , Ramezanali Mahdavinejad 2 , Saeid Amini 3 , Mahmoud Moradi 4
1 - Department of Mechanical Engineering, University of Tehran, Tehran, Iran
2 - Department of Mechanical Engineering, University of Tehran, Tehran, Iran
3 - Department of Mechanical Engineering, University of Kashan, Kashan, Iran
4 - Department of Mechanical Engineering, Malayer University, Malayer, Iran
کلید واژه: Response Surface Methodology, Single Point Incremental Forming, Ultrasonic Vibration, Surface roughness,
چکیده مقاله :
Ultrasonic vibration assisted single point incremental forming (UVaSPIF) is based on localized plastic deformation in a sheet metal blank. It consists to deform gradually and locally the sheet metal using vibrating hemispherical-head tool controlled by a CNC milling machine. The ultrasonic excitation of forming tool reduces the vertical component of forming force. In addition, application of ultrasonic vibration reduces the surface roughness of the specimen. Surface roughness is one of the quantitative and qualitative parameters, which is used to assess the quality of the final product. In the present paper, a statistical analysis and optimization of effective factors on this parameter is performed in the UVaSPIF. For this purpose, response surface methodology (RSM) is selected as the experiment design technique. The controllable factors such as vertical step size, sheet thickness, tool diameter, wall inclination angle, and feed rate is specified as input variables of the process. The obtained results from analysis of variance (ANOVA) and regression analysis of experimental data confirm the accuracy of mathematical model. Furthermore, it is shown that the linear, quadratic, and interactional terms of the variables are effective on the surface roughness parameter. To optimize the surface roughness parameter, the finest conditions of the experiment are determined using desirability method, and statistical optimization is subsequently verified by conducting the confirmation test.
[1] B.V.Desai, K.P.Desai, H. K. Raval, “Die-Less rapid prototyping process: Parametric investigations”, Procedia Materials Science, Vol. 6, 2014, pp. 666-673.
[2] B. S. Raju, U. Chandra Shekar, K. Venkateswarlu, D. N. Drakashayani, “Establishment of process model for rapid prototyping technique (Stereolithography) to enhance the part quality by Taguchi method”, Procedia Technology, Vol. 14, 2014, pp. 380-389.
[3] V. Jaiganesh, A. C. Andrew, E. Mugilan, “Manufacturing of PMMA cam shaft by rapid prototyping”, Procedia Engineering, Vol. 97, 2014, pp. 2127-2135.
[4] P. Jain, A.M.Kuthe, “Feasibility study of manufacturing using rapid prototyping: FDM approach”, Procedia Engineering, Vol. 63, 2013, pp. 4-11.
[5] E.Leszak, “Apparatus and process for incremental dieless forming”, US Patent No. 3342051A, 1967.
[6] K. Kitazawa, A. Wakabayashi, K. Murata, K. Yaejima, “Metal-flow phenomena in computerized numerically controlled incremental stretch-expanding of aluminium sheets”, Keikinzoku J. Jpn. Inst. Light Met., Vol. 46, 1996, pp. 65-70.
[7] A. Petek, B. Jurisevic, K. Kuzman, M. Junkar, “Comparison of alternative approaches of single point incremental forming processes”, Journal of Materials Processing Technology, Vol. 209, 2009, pp. 1810-1815.
[8] J. Duflou, Y. Tunckol, A. Szekeres, P. Vanherck, “Experimental study on force measurements for single point incremental forming”, Journal of Materials Processing Technology, Vol. 189, 2007, pp. 65-72.
[9] J. Jeswiet, F. Micari, G. Hirt, A. Bramley, J. Duflou, J. Allwood, “Asymmetric single point incremental forming of sheet metal”, Ann. CIRP, Vol. 54, No. 2, 2005, pp. 623-649.
[10] S.Thibaud, R.BenHmida, F.Richard, P.Malécot, “A fully parametric toolbox for the simulation of single point incremental sheet forming process: Numerical feasibility and experimental validation”, Simulation Modelling Practice and Theory, Vol. 29, 2012, pp. 32-43.
[11] B. Lu, J. Chen, H. Ou, J. Cao, “Feature-based tool path generation approach for incremental sheet forming process”, Journal of Materials Processing Technology, Vol. 213, 2013, pp. 1221-1233.
[12] B. Lu, Y. Fang, D. K. Xu, J. Chen, H. Ou, N. H. Moser, J. Cao, “Mechanism investigation of friction-related effects in single point incremental forming using a developed oblique roller-ball tool”, International Journal of Machine Tools & Manufacture, Vol. 85, 2014, pp. 14-29.
[13] S. Junk, G. Hirt, I. Chouvalova, “Forming strategies and tools in incremental sheet forming”, Proceedings of the 10th International Conference on Sheet Metal, 2003, pp. 57-64.
[14] E. Hagan, J. Jeswiet, “Analysis of surface roughness for parts formed by computer numerical controlled incremental forming”, Journal of Engineering Manufacture (Part B), Vol. 218, 2004, pp. 1307-1312.
[15] M. Durante, A. Formisano, A. Langella, “Comparison between analytical and experimental roughness values of components created by incremental forming”, Journal of Materials Processing Technology, Vol. 210, 2010, pp. 1934-1941.
[16] S. P. Shanmuganatan, V. S. Senthil Kumar, “Metallurgical analysis and finite element modelling for thinning characteristics of profile forming on circular cup”, Materials and Design, Vol. 44, 2013, pp. 208-215.
[17] M. Vahdati, R. A. Mahdavinejad, S. Amini, A. Abdullah, K. Abrinia, “Design and Manufacture of Vibratory Forming Tool to Develop Ultrasonic Vibration assisted Incremental Sheet Metal Forming Process”, Modares Mechanical Engineering, Vol. 14, No. 11, 2014, pp. 68-76 (In Persian).
[18] M. Vahdati, R. A. Mahdavinejad, S. Amini, K. Abrinia, “Experimental investigation the effect of ultrasonic vibration and lubricant on behavior of the forming force in Single Point Incremental Forming (SPIF) process”, 3rd International Engineering Materials & Metallurgy Conference, Iran, 2014, p. 159.
[19] M. Moradi, M. Ghoreishi, J. Frostevarg, A. F. H. Kaplan, “An investigation on stability of laser hybrid arc welding”, Optics and Lasers in Engineering, Vol. 51, No.4, 2013, pp. 481-487.
[20] H. Abdollahi, R. A. Mahdavinejad, M. Ghambari, M. Moradi, “Investigation of green properties of iron/jet milled grey cast iron compacts by response surface method”, Journal of Engineering Manufacture (Part B), Vol. 228, No. 4, 2014, pp. 493-503.
[21] D. C.Montgomery, “Design and Analysis of Experiments”, 3rd ed., New York, John Wiley & Sons, 1991.
[22] A. I. Khuri, J.A.Cornell, “Response Surfaces Design and Analysis”, 2nd ed., New York, MarcelDekker, 1996.
[23] R.H.Myers, D. C.Montgomery, “Response Surface Methodology: Process and Product Optimization Using Designed Experiments”, 2nd ed., New York, John Wiley & Sons, 2002.
[24] “Minitab software”, release 16, http://www.minitab.com.
[25] “DIN 51524”, Part 2.
[26] “CIMCO software”, http://www.cimco.com.
[27] R.H.Myers, D. C.Montgomery, C.M.Anderson-Cook, “Response Surface Methodology: Process and Product Optimization Using Designed Experiments”, 3rd ed., New York, John Wiley & Sons, 2009.
