Indexed by:期刊论文

Date of Publication:2005-04-08

Journal:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Included Journals:Scopus、SCIE、EI

Volume:194

Issue:12-16

Page Number:1779-1795

ISSN No.:0045-7825

Key Words:robust design; structural optimization; sensitivity analysis; perturbation based stochastic finite element method

Abstract:The robust design of non-linear structures with path-dependent response is stated as a two-criteria optimization problem and is solved by the method of mathematical programming. To this end, the perturbation technique is applied in conjunction with the incremental loading procedure for the response moment analysis of path-dependent non-linear structural systems with random parameters. Furthermore, the sensitivities of mean and variance of the structural performance function are evaluated using direct differentiation in the framework of perturbation based stochastic finite element analysis. By introducing a weighting factor in the compound objective-resp. desirability function, and feasibility indices in the constraints, the mathematical model of structural robust design problem is formulated and is solved with a gradient-based algorithm. Numerical examples demonstrate the applicability of the presented method. (C) 2004 Elsevier B.V. All rights reserved.