Investigation of Process Parameters Based on Kriging in Sheet Metal Forming

Article Preview

Abstract:

Design and analysis of computer experiments have been widely investigated. This study presents numerical procedure to optimize the sheet metal forming process. Metamodels based on responses from numerical experiments may form efficient approximations to functions in engineering analysis. They can improve the efficiency of engineering optimization substantially by uncoupling computationally expensive analysis models and (iterative) optimization procedures. This paper investigated the kriging metamodel approach. At the same time, the practical nonlinear engineering problems such as square drawing are also optimized successfully by proposed method. The results prove Kriging model is an effective method for nonlinear engineering problem in practice.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

128-135

Citation:

Online since:

September 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] G. Venter, R.T. Haftka, J.H. Starnes. Construction of response surfaces for design optimization applications. In: Proceedings of the 6th AIAA/NASA/ISSMO symposium on multidisciplinary analysis and optimization. Bellevue (Washington), September 4-6, 1996, Part 1. p.548.

DOI: 10.2514/6.1996-4040

Google Scholar

[2] O. Balabanov. Development of approximations for HSCT wing bending material weight using response surface methodology [D]. Virginia Polytechnic Institute and State University, Blacksburg (VA); (1997).

Google Scholar

[3] J. Sacks, S.B. Schiller, W.J. Welch. Design for computer experiment. Technometrics 1989; 31 (1): 41–7.

Google Scholar

[4] N. A. C. Cressie, Statistics for Spatial Data, J. Wiley: New York, (1993).

Google Scholar

[5] G. Matheron. Principles of geostatistics. Economic Geology, 1963, 58, 1246–1266.

DOI: 10.2113/gsecongeo.58.8.1246

Google Scholar

[6] A.A. Giunta. Aircraft multidisciplinary optimization using design of experiments theory and response surface modeling methods. Ph.D. dissertation, Virginia Polytechnic Institute and State University, Blacksburg (Virginia); (1997).

Google Scholar

[7] J.O. Osio, C.H. Amon. An engineering design methodology with multistage Bayesian surrogates and optimal sampling. Res Eng Des 1996; 8(4): 189–206.

DOI: 10.1007/bf01597226

Google Scholar

[8] A.J. Booker, J.E. Dennis, P.D. Frank, et al. A rigorous framework for optimization of expensive functions by surrogates. Struct Optimization 1999; 17(1): 1–13.

DOI: 10.1007/bf01197708

Google Scholar

[9] A. Sakata, F. Ashida, M. Zako. Structural optimization using kriging approximation. Comput Meth Appl Mech Eng 2003; 192(7–8): 923–39.

DOI: 10.1016/s0045-7825(02)00617-5

Google Scholar

[10] A.A. Giunta, L.T. Watson. A comparison of approximation modeling techniques: polynomial versus interpolating models, AIAA-98-4758. 1998, 36(1): 275-286.

DOI: 10.2514/6.1998-4758

Google Scholar

[11] T. W. Simpson, J.D. Peplinski, P.N. Koch. Metamodels for computer-based engineering design: survey and recommendations. Engineering with computers. 2000, 17(2): 129-150.

DOI: 10.1007/pl00007198

Google Scholar

[12] P. Kyoungwoo, K. O. Park, J. L. Hyo. The application of the CFD and Kriging method to an optimization of heat sink. International Journal of Heat and Mass Transfer, 2006, 49: 3439~3447.

DOI: 10.1016/j.ijheatmasstransfer.2006.03.009

Google Scholar

[13] K. B. Il, S. H. Dong, J. H. Geun, et al. Structural optimization for a jaw using iterative Kriging metamodels. Journal of Mechanical Science and Technology, 2008, 22: 1651~1659.

DOI: 10.1007/s12206-008-0704-2

Google Scholar

[14] Hu Wang, Enying Li, Guang Yao Li. Parallel boundary and best neighbor searching sampling algorithm for drawbead design optimization in sheet metal forming, Struct Multidisc Optim, 2010, 41: 309–324.

DOI: 10.1007/s00158-009-0411-3

Google Scholar

[15] J. J. M. Rijpkema, L. F. P. Etman, A. J. G. Schoofs. Use of design sensitivity information in response surface and kriging metamodels[J]. Optimization and Engineering, 2001, 2(4): 469-484.

Google Scholar

[16] Joachim Danckert, Experimental investigation of a square-cup deep-drawing process, Journal of Materials Processing Technology, 1995(50): 375~384.

DOI: 10.1016/0924-0136(94)01399-l

Google Scholar