Robust design of non-linear structures using optimization methods

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 12-16, 2005, Pages 1779-1795

  Doltsinis, Ioannis ^a   Kang, Zhan ^b   Cheng, Gengdong ^b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Perturbation based stochastic finite element method; Robust design; Sensitivity analysis; Structural optimization

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD; GRADIENT METHODS; LOADS (FORCES); MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; RANDOM PROCESSES; STRUCTURAL OPTIMIZATION;

NONLINEAR STRUCTURES; RESPONSE MOMENT ANALYSIS; STRUCTURAL RESPONSE;

STRUCTURAL DESIGN;

DESIGN; MATHEMATICAL METHOD; OPTIMIZATION;

EID: 13844314867     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.02.027     Document Type: Article

References (21)

1. A. Siemanszko, J.L.T. Santos, Reliability-based structural optimization, in: Proceeding of Structural Optimization, 93 World Congress, vol. 1, Rio de Janeiro, 1993, pp. 473-480
2. R.V. Grandhi L.P. Wang Reliability-based structural optimization using improved two-point adaptive nonlinear approximations Finite Elements Anal. Des. 29 1 1998 35-48
3. I. Enevoldsen J.D. Sorensen Reliability-based optimization in structural engineering Struct. Safety 15 3 1994 169-196
4. I. Elishakoff R.T. Haftka J. Fang Structural design under bounded uncertainty - optimization with anti-optimization Comput. Struct. 53 6 1994 1401-1405
5. C.P. Pantelides S. Ganzerli Design of trusses under uncertain loads using convex models J. Struct. Engrg. 124 3 1998 318-329
6. M. Sakawa Fuzzy Sets and Interactive Multi-objective Optimization 1993 Plenum Press
7. R.H. Myers D.C. Montgomery Response Surface Methodology 1995 Wiley New York
8. K.H. Lee I.S. Eom G.J. Park W.I. Lee Robust design for unconstrained optimization problems using the Taguchi method AIAA J. 34 5 1996 1059-1063
9. H.W. Chi C.L. Bloebaum Mixed variable optimization using Taguchi's orthogonal arrays Struct. Optim. 12 2-3 1996 147-152
10. K.H. Lee G.J. Park Robust optimization considering tolerances of design variables Comput. Struct. 79 2001 77-86
11. U. Lautenschlager H.A. Eschenauer Design-of-experiments methods and their application to robust multicriteria optimization problems Zeit. für angew. Math. Mech. 79 S1 1999 71-74
12. E. Sandgren T.M. Cameron Robust design optimization of structures through consideration of variation Comput. Struct. 80 2002 1605-1613
13. W.K. Liu T. Belytschko A. Mani Random field finite elements Int. J. Numer. Methods Engrg. 23 1988 1831-1845
14. M. Kleiber T.D. Hien The Stochastic Finite Element Method: Basic Perturbation Technique and Computer Implementation 1992 John Wiley & Sons Ltd. Chichester, England
15. F. Yamazaki M. Shinozuka Neumann expansion for stochastic finite element analysis ASCE J. Engrg. Mech. 114 8 1988 1335-1354
16. S. Rahman B.N. Rao A perturbation method for stochastic meshless analysis in elastostatics Int. J. Numer. Methods Engrg. 50 2001 1969-1991
17. G.I. Schueller Computational stochastic mechanics - recent advances Comput. Struct. 79 22-25 2001 2225-2234
18. W.K. Liu G. Besterfield T. Belytschko Transient probabilistic systems Comput. Methods Appl. Mech. Engrg. 67 1988 27-54
19. I. Doltsinis, Z. Kang, Robust design optimization of structures with stochastic parameters, in: Proc. Fifth World Congress on Computational Mechanics (WCCM V), July 7-12, 2002, Vienna, Austria, Vienna University of Technology, Austria, ISBN 3-9501554-0-6
20. I. Doltsinis Inelastic deformation processes with random parameters - methods of analysis and design Comput. Methods Appl. Mech. Engrg. 192 2003 2405-2424
21. C. Lawrence, J.L. Zhou, A.L. Tits, User's Guide for CFSQP Version 2.5. Available from: http://aemdesign.com