Worst-case design in head impact crashworthiness optimization

International Journal for Numerical Methods in Engineering

Volumn 57, Issue 6, 2003, Pages 795-817

  Craig, K J ^a   Stander, Nielen ^b   Balasubramanyam, Suri ^b  

^a UNIVERSITY OF PRETORIA   (South Africa)

^b LIVERMORE SOFTWARE TECHNOLOGY CORPORATION   (United States)

Author keywords

Crashworthiness; Head impact; Minimax; Response surface methodology; Saddlepoints; Worst case design

Indexed keywords

ALGORITHMS; AUTOMOBILES; CRASHWORTHINESS; OPTIMIZATION; ROTATION;

AUTOMOTIVE DESIGN;

MACHINE DESIGN;

IMPACT DAMAGE;

EID: 0038269151     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.704     Document Type: Article

References (34)

1. Etman LFP, Adriaens JMTA, van Slagmaat MTP, Schoofs AJG. Crashworthiness Design Optimization using Multipoint Sequential Linear Programming. Structural Optimization 1996; 12:222-228.
2. Etman LFP. Optimization of multibody systems using approximation concepts. PhD Thesis. Technical University Eindhoven, The Netherlands 1997.
3. Marklund P-O. Optimization of a car body component subjected to impact. Linköping Studies in Science and Technology. Thesis No. 776. Department of Mechanical Engineering. Linköping University, Sweden 1999.
4. Marklund P-O, Nilsson L. Optimization of a car body component subjected to side Impact. Structural and Multidisciplinary Optimization 2001; 21:383-392.
5. Akkerman A, Thyagarajan R, Stander N, Burger M, Kuhn R, Rajic H. Shape Optimization for crashworthiness design using response surfaces. Proceedings of the International Workshop on Multidisciplinary Design Optimization. Pretoria, South Africa, 8-10 August, 2000; 270-279.
6. Stander N. Optimization of nonlinear dynamic problems using successive linear approximations. AIAA Paper 2000-4798, 2000.
7. Schramm U, Thomas H. Crashworthiness design using structural optimization. AIAA Paper 98-4729, 1998.
8. Sobieszczanski-Sobieski J, Kodiyalam S, Yang R-J. Optimization of car body under constraints of noise, vibration, and harshness (NVH), and crash. AIAA Paper 2000-1521, 2000.
9. Gu L. A comparison of polynomial based regression models in vehicle safety analysis. Paper DETC2001/DAC-21063. Proceedings of DETC'01 ASME 2001 Design Engineering Technical Engineering Conferences and the Computers and Information in Engineering Conference. Pittsburgh, PA, 9-12 September, 2001.
10. Yang R-J, Wang N, Tho CH, Bobineau JP, Wang BP. Metamodeling development for vehicle frontal impact simulation. Paper DETC2001/DAC-21063. Proceedings of DETC'01 ASME 2001 Design Engineering Technical Engineering Conferences and the Computers and Information in Engineering Conference. Pittsburgh, PA, September 9-12, 2001.
11. Yang R-J, Gu L, Tho CH, Sobieszczanski-Sobieski J. Multidisciplinary design optimization of a full vehicle with high performance computing. AIAA Paper 2001-1273, 2001.
12. Schramm U. Multi-disciplinary optimization for NHV and crashworthiness. In Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, Bathe KJ (ed.), Boston, 12-15 June. Elsevier Science Ltd.: Oxford, 2001: 721-724.
13. Craig KJ, Stander N, Dooge DA, Varadappa S. Multidisciplinary design optimization of automotive crashworthiness and NVH using response surface methods. Engineering Computations. November 2002, Submitted.
14. Stander N, Craig KJ. On the robustness of a simple domain reduction scheme for simulation-based optimization. Engineering Computations 2002; 19(4):431-450.
15. Snyman JA. The LFOPC leap-frog algorithm for constrained optimization. Computers and Mathematics with Applications 2000; 40:1085-1096.
16. Smith CM. How to find a saddle point. International Journal of Quantum Chemistry 1990; 37:773.
17. Minnaar RJ. Optimal dimensional synthesis of planar mechanisms. M Eng Thesis, Department of Mechanical Engineering, University of Pretoria, Pretoria, South Africa, April 1999.
18. Craig KJ, De Kock DJ. Saddle points in design optimization. Proceedings of the International Workshop on Multidisciplinary Design Optimization. Pretoria, South Africa, 8-10 August, 2000; 60-69.
19. Craig KJ, De Kock DJ, Snyman JA. Minimizing the effect of automotive pollution in urban geometry using mathematical optimization. Atmospheric Environment 2001; 35(3):579-587.
20. National Highway Traffic Safety Administration (NHTSA). United States Department of Transportation. www.nhtsa.dot.gov/cars/rules/rulings 2001.
21. Livermore Software Technology Corporation. LS-DYNA manual version 950. Livermore, CA, 2000.
22. TrueGrid manual. XYZ Scientific Applications. Livermore, CA, 2000.
23. Rustem B, Howe, M. Algorithms for Worst-Case Design and Applications to Risk Management. Princeton University Press: Princeton, 2002.
24. Basar T, Bernhard P. H-infinity Optimal Control and Related Minimax Design Problems (2nd edn). Birkhäuser: Boston, 1995.
25. Cherkaev E, Cherkaev A. Design versus loading: min-max approach. Proceedings of the 3rd World Congress of Structural and Multidisciplinary Optimization, Buffalo, NY, 1999.
26. Venter G, Haftka RT. Two species genetic algorithm for design under worst case conditions. Proceedings of the 3rd World Congress of Structural and Multidisciplinary Optimization, Buffalo, NY, 1999.
27. Michelena N, Chen W. Robust and worst-case design for vehicle handling. Fourth Annual Conference on Critical Technologies for Modeling and Simulation of Ground Vehicles, U.S. Army TACOM Automotive Research Center, Ann Arbor, Michigan, 19-20 May, 1998.
28. Anon. Computer crashes great for roadside safety research, Texas Transportation Researcher. 34(1). http://tti.tamu.edu/researcher/v34n l/dyna3d.stm, 1998.
29. Stander N. LS-OPT User's Manual Version I, Livermore Software Technology Corporation, Livermore, CA, 1999.
30. Myers RH, Montgomery DC. Response Surface Methodology. Wiley: New York, 1995.
31. Stander, N. The successive response surface method applied to sheet-metal forming. Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, Boston, 12-14 June. Elsevier Science Ltd.: Oxford, 2001.
32. Roux WJ, Stander N, Haftka RT. Response surface approximations for structural optimization. International Journal for Numerical Methods in Engineering 1998; 42:517-534.
33. Haftka RT, Gürdal Z. Elements of Structural Optimization. Kluwer: Dordrecht, 1990; 257.
34. Griewank AO. Generalized descent for global optimization. Journal of Optimization Theory and Applications 1981; 34:11-39.