Statistical Analysis and Optimization of Factors Affecting the Spring-back Phenomenon in UVaSPIF Process Using Response Surface Methodology
محورهای موضوعی : Mechanical EngineeringM. Vahdati 1 , R. A. Mahdavinejad 2 , S. Amini 3
1 - Department of Mechanical Engineering,
University of Tehran, Iran
2 - Department of Mechanical Engineering,
University of Tehran, Iran
3 - Department of Mechanical Engineering,
University of Kashan, Iran
کلید واژه: Single Point Incremental Forming, Spring-back, Ultrasonic Vibration, RSM,
چکیده مقاله :
Ultrasonic Vibration assisted Single Point Incremental Forming (UVaSPIF) process is an attractive and adaptive method in which a sheet metal is gradually and locally formed by a vibrating hemispherical-head tool. The ultrasonic excitation of forming tool reduces the average of vertical component of forming force and spring-back rate of the formed sample. The spring-back phenomenon is one of the most important geometrical errors in SPIF process, which appear in the formed sample after the process execution. In the present article, a statistical analysis and optimization of effective factors on this phenomenon is performed in the UVaSPIF process based on DOE (Design of Experiments) principles. For this purpose, RSM (Response Surface Methodology) 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 ANOVA (Analysis of Variance) 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 spring-back phenomenon. To optimize the spring-back phenomenon, the finest conditions of the experiment are determined using desirability method, and statistical optimization is subsequently verified by conducting the confirmation test.
[1] Leszak, E., U.S. Patent Application for a “Apparatus and process for incremental dieless forming”, Docket No. 3342051A, filed 1967.
[2] Kitazawa, K., Wakabayashi, A., Murata, K., and Yaejima, K., “Metal-flow phenomena in computerized numerically controlled incremental stretch-expanding of aluminium sheets”, Journal of Japan Institute of Light Metals, Vol. 46, 1996, pp. 65-70.
[3] Petek, A., Jurisevic, B., Kuzman, K., and Junkar, M., “Comparison of alternative approaches of single point incremental forming processes”, Journal of Materials Processing Technology, Vol. 209, 2009, pp. 1810-1815.
[4] Duflou, J., Tunckol, Y., Szekeres, A., and Vanherck, P., “Experimental study on force measurements for single point incremental forming”, Journal of Materials Processing Technology, Vol. 189, 2007, pp. 65-72.
[5] Jeswiet, J., Micari, F., Hirt, G., Bramley, A., Duflou, J., and Allwood, J., “Asymmetric single point incremental forming of sheet metal”, CIRP Annals - Manufacturing Technology, Vol. 54, No. 2, 2005, pp. 623-649.
[6] Thibaud, S., BenHmida, R., Richard, F., and Malécot, P., “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.
[7] Micari, F., Ambrogio, G., and Filice, L., “Shape and dimensional accuracy in Single Point Incremental Forming: State of the art and future trends”, Journal of Materials Processing Technology, Vol. 191, 2007, pp. 390-395.
[8] Ambrogio, G., Costantino, I., De Napoli, L., Filice, L., and Muzzupappa, M., “Influence of some relevant process parameters on the dimensional accuracy in incremental forming: a numerical and experimental investigation”, Journal of Materials Processing Technology, Vol. 153C/154C, 2004, pp. 501-507.
[9] Allwood, J. M., King, G. P. F., and Duflou, J., “A structured search for applications of the incremental sheet-forming process by product segmentation”, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, Vol. 219, No. 2, 2005, pp. 239-244.
[10] Ambrogio, G., Cozza, V., Filice, L., and Micari, F., “An analytical model for improving precision in single point incremental forming”, Journal of Materials Processing Technology, Vol. 191, 2007, pp. 92-95.
[11] Meier, H., Buff, B., Laurischkat, R., and Smukala, V., “Increasing the part accuracy in dieless robot-based incremental sheet metal forming”, CIRP Annals - Manufacturing Technology, Vol. 58, 2009, pp. 233-238.
[12] Allwood, J. M., Braun, D., and Music, O., “The effect of partially cut-out blanks on geometric accuracy in incremental sheet Forming”, Journal of Materials Processing Technology, Vol. 210, 2010, pp. 1501-1510.
[13] Siegert, K., Ulmer, J., “Superimposing ultrasonic waves on the dies in tube and wire drawing”, Journal of Engineering Materials and Technology, Vol. 123, 2001, pp. 517-523.
[14] Hung, J.-C., Hung, C., “The influence of ultrasonic-vibration on hot upsetting of aluminum alloy”, Ultrasonics, No. 43, 2005, pp. 692-698.
[15] Tolga Bozdana, A., Gindy, N. N. Z., and Li, H., “Deep cold rolling with ultrasonic vibrations – a new mechanical surface enhancement technique”, International Journal of Machine Tools and Manufacture, No. 45, 2005, pp. 713-718.
[16] Vahdati, M., Mahdavinejad, R.A., Amini, S., Abdullah, A., and Abrinia, K., “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).
[17] Vahdati, M., Mahdavinejad, R.A., and Amini, S., “Investigation of the Ultrasonic Vibration Effect in Incremental Sheet Metal Forming (ISMF) Process”, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, (to be published).
[18] Vahdati, M., Sedighi, M., and Khoshkish, H., “An analytical model to reduce spring back in Incremental Sheet Metal Forming (ISMF) process”, International Journal of Advanced Materials Research (AMR), Vols. 83-86, 2010, pp. 1113-1120.
[19] Montgomery, D. C., “Design and Analysis of Experiments”, 3rd ed., New York, John Wiley & Sons, 1991.
[20] Khuri, A. I., Cornell, J.A., “Response Surfaces Design and Analysis”, 2nd ed., New York, MarcelDekker, 1996.
[21] Myers, R. H., Montgomery, D. C., “Response Surface Methodology: Process and Product Optimization Using Designed Experiments”, 2nd ed., New York, John Wiley & Sons, 2002.
[22] Minitab Software Package, Ver. 16, http://www.minitab.com.
[23] DIN 51524, Part 2.
[24] CIMCO Software Package, Ver. 5, http://www.cimco.com.
[25] Myers, R. H., Montgomery, D. C., and Anderson-Cook, C. M., “Response Surface Methodology: Process and Product Optimization Using Designed Experiments”, 3rd ed., New York, John Wiley & Sons, 2009.
