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Multi-objective optimization of single point incremental sheet forming of AA5052 using Taguchi based grey relational analysis coupled with principal component analysis

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Abstract

This paper presents a detailed experimental investigation on single point incremental forming (SPIF) of AA5052 sheet. In order to investigate the effects of incremental forming parameters, a straight-groove test was designed using L18 orthogonal array (OA) and groves were performed along the rolling, transverse and 45° (diagonal) directions on the cold-rolled sheets. The sum of major strain and minor strain as a measure of formability and the surface roughness were measured. These multi-objective responses were normalized using grey relational analysis (GRA). Moreover, the principal component analysis (PCA) was applied to evaluate the weighting values corresponding to each performance characteristics. The variability caused by the input parameters was apportioned using analysis of variance (ANOVA). Thus, the Taguchi method (TM) based GRA coupled with PCA was specifically adopted to determine the optimal combination of forming parameters. The confirmation experiment shows an average improved formability of 56.37% and surface roughness of 93.68%.

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References

  1. Mason, B., “Sheet Metal Forming for Small Batches,” B.Sc Thesis, University of Nottingham, 1978.

    Google Scholar 

  2. Matsubara, S., “Incremental Backward Bulge Forming of a Sheet Metal with a Hemispherical Head Tool-a Study of a Numerical Control Forming System II,” Journal-Japan Society For Technology Of Plasticity, Vol. 35, pp. 1311–1311, 1994.

    Google Scholar 

  3. Park, J. J. and Kim, Y. H., “Fundamental Studies on the Incremental Sheet Metal Forming Technique,” Journal of Materials Processing Technology, Vol. 140, No. 1, pp. 447–453, 2003.

    Article  Google Scholar 

  4. Strano, M., “Technological Representation of Forming Limits for Negative Incremental Forming of Thin Aluminum Sheets,” Journal of Manufacturing Processes, Vol. 7, No. 2, pp. 122–129, 2005.

    Article  Google Scholar 

  5. Okoye, C. N., Jiang, J. H., and Hu, Z. D., “Application of Electromagnetic-Assisted Stamping (EMAS) Technique in Incremental Sheet Metal Forming,” International Journal of Machine Tools and Manufacture, Vol. 46, No. 11, pp. 1248–1252, 2006.

    Article  Google Scholar 

  6. Sajn, V., Jurisevic, B., and Kosel, F., “Water Jet Incremental Sheet Metal Forming: Pressure Distribution Analysis,” International Journal on Interactive Design and Manufacturing, Vol. 5, No. 2, pp. 95–102, 2011.

    Article  Google Scholar 

  7. Shim, M. S. and Park, J. J., “The Formability of Aluminum Sheet in Incremental Forming,” Journal of Materials Processing Technology, Vol. 113, No. 1–3, pp. 654–658, 2001.

    Article  Google Scholar 

  8. Iseki, H. and Kumon, H., “Forming Limit of Incremental Sheet Metal Stretch Forming using Spherical Rollers,” Journal of Japan Society for Technology of Plasticity, Vol. 35, No. 11, p. 1336, 1994.

    Google Scholar 

  9. Kim, Y. H. and Park, J. J., “Effect of Process Parameters on Formability in Incremental Forming of Sheet Metal,” Journal of Materials Processing Technology, Vol. 130–131, pp. 42–46, 2002.

    Article  Google Scholar 

  10. Cerro, I., Maidagan, E., Arana, J., Rivero, A., and Rodriguez, P., “Theoretical and Experimental Analysis of the Dieless Incremental Sheet Forming Process,” Journal of Materials Processing Technology, Vol. 177, No. 1, pp. 404–408, 2006.

    Article  Google Scholar 

  11. Emmens, W. C., Sebastiani, G., and Van Den Boogaard, A., “The Technology of Incremental Sheet Forming-A Brief Review of the History,” Journal of Materials Processing Technology, Vol. 210, No. 8, pp. 981–997, 2010.

    Article  Google Scholar 

  12. Echrif, S. B. M. and Hrairi, M., “Research and Progress in Incremental Sheet Forming Processes,” Materials and Manufacturing Processes, Vol. 26, No. 11, pp. 1404–1414, 2011.

    Article  Google Scholar 

  13. Araghi, B. T., Göttmann, A., Bambach, M., Hirt, G., Bergweiler, G., et al., “Review on the Development of a Hybrid Incremental Sheet Forming System for Small Batch Sizes and Individualized Production,” Production Engineering, Vol. 5, No. 4, pp. 393–404, 2011.

    Article  Google Scholar 

  14. Silva, M. B., Skjødt, M., Vilaca, P., Bay, N., and Martins, P., “Single Point Incremental Forming of Tailored Blanks Produced by Friction Stir Welding,” Journal of Materials Processing Technology, Vol. 209, No. 2, pp. 811–820, 2009.

    Article  Google Scholar 

  15. 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, No. 1, pp. 65–72, 2007.

    Article  Google Scholar 

  16. Rauch, M., Hascoet, J. Y., Hamann, J. C., and Plenel, Y., “Tool Path Programming Optimization for Incremental Sheet Forming Applications,” Computer-Aided Design, Vol. 41, No. 12, pp. 877–885, 2009.

    Article  Google Scholar 

  17. Rauch, M., Hascoët, J. Y., Hamann, J. C., and Plennel, Y., “A New Approach for Toolpath Programming in Incremental Sheet Forming,” International Journal of Material Forming, Vol. 1, No. 1, pp. 1191–1194, 2008.

    Article  Google Scholar 

  18. Durante, M., Formisano, A., Langella, A., and Capece Minutolo, F. M., “The Influence of Tool Rotation on an Incremental Forming Process,” Journal of Materials Processing Technology, Vol. 209, No. 9, pp. 4621–4626, 2009.

    Article  Google Scholar 

  19. Minutolo, F. C., Durante, M., Formisano, A., and Langella, A., “Evaluation of the Maximum Slope Angle of Simple Geometries Carried out by Incremental Forming Process,” Journal of Materials Processing Technology, Vol. 194, No. 1, pp. 145–150, 2007.

    Article  Google Scholar 

  20. Kaufman, J. G., “Introduction to Aluminum Alloys and Tempers,” ASM International, p. 96, 2000.

    Google Scholar 

  21. Ham, M. and Jeswiet, J., “Single Point Incremental Forming and the Forming Criteria for AA3003,” CIRP Annals-Manufacturing Technology, Vol. 55, No. 1, pp. 241–244, 2006.

    Article  Google Scholar 

  22. Montgomery, D. C., “Design and Analysis of Experiments,” John Wiley & Sons, pp. 160–385, 2008.

    Google Scholar 

  23. Ross, P. J., “Taguchi Techniques for Quality Engineering,” 2nd Ed., p. 24, 1995.

    Google Scholar 

  24. Liao, H. C., “Multi-Response Optimization using Weighted Principal Component,” The International Journal of Advanced Manufacturing Technology, Vol. 27, No. 7–8, pp. 720–725, 2006.

    Article  Google Scholar 

  25. Deng, J. L., “Introduction to Grey System Theory,” The Journal of Grey System, Vol. 1, No. 1, pp. 1–24, 1989.

    MATH  MathSciNet  Google Scholar 

  26. Pearson, K., “On Lines and Planes of Closest Fit to Systems of Points in Space,” The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 2, No. 11, pp. 559–572, 1901.

    Article  Google Scholar 

  27. Hotelling, H., “Analysis of a Complex of Statistical Variables into Principal Components,” Journal of Educational Psychology, Vol. 24, No. 6, pp. 417–441, 1933.

    Article  Google Scholar 

  28. Liu, X., Liewald, M., and Becker, D., “Effects of Rolling Direction and Lubricant on Friction in Sheet Metal Forming,” Journal of Tribology, Vol. 131, No. 4, Paper No. 042101, 2009.

    Article  Google Scholar 

  29. Lu, H. S., Chang, C. K., Hwang, N. C., and Chung, C. T., “Grey Relational Analysis Coupled with Principal Component Analysis for Optimization Design of the Cutting Parameters in High-Speed End Milling,” Journal of Materials Processing Technology, Vol. 209, No. 8, pp. 3808–3817, 2009.

    Article  Google Scholar 

  30. Rajesh, S., Devaraj, D., Pandian, R. S., and Rajakarunakaran, S., “Multi-Response Optimization of Machining Parameters on Red Mud-based Aluminum Metal Matrix Composites in Turning Process,” The International Journal of Advanced Manufacturing Technology, Vol. 67, No. 1–4, pp. 811–821, 2013.

    Article  Google Scholar 

  31. Fisher, R. A., “Statistical Methods for Research Workers,” Oliver & Boyd, p. 114, 1925.

    Google Scholar 

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Authors and Affiliations

  1. Manufacturing Division, School of Mechanical and Building Sciences, VIT University, Vellore, Tamil Nadu, India, 632014

    Pandivelan Chinnaiyan & A. K. Jeevanantham

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  1. Pandivelan Chinnaiyan
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  2. A. K. Jeevanantham
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Correspondence to A. K. Jeevanantham.

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Chinnaiyan, P., Jeevanantham, A.K. Multi-objective optimization of single point incremental sheet forming of AA5052 using Taguchi based grey relational analysis coupled with principal component analysis. Int. J. Precis. Eng. Manuf. 15, 2309–2316 (2014). https://doi.org/10.1007/s12541-014-0595-3

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  • DOI: https://doi.org/10.1007/s12541-014-0595-3

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