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Title: Designing robust structures - A nonlinear simulation based approach
Authors: Beer, M. 
Liebscher, M.
Keywords: Cluster methods
Decision making
Inverse problem
Nonlinear structural analysis
Robust structural design
Uncertainty processing
Issue Date: May-2008
Source: Beer, M., Liebscher, M. (2008-05). Designing robust structures - A nonlinear simulation based approach. Computers and Structures 86 (10) : 1102-1122. ScholarBank@NUS Repository.
Abstract: This paper presents a generally applicable numerical procedure for designing robust structures under uncertainty, which can be coupled with any arbitrary nonlinear computational model for statical or dynamic structural analysis. Based on the results from an uncertain structural analysis several permissible design domains are determined with the aid of cluster analysis methods instead of traditionally computing only one particular set of crisp design parameter values; these represent design alternatives. To identify a preference solution, a discrete three-criteria optimization problem is formulated, which is focused on maximum structural robustness and includes a safety component. A measure for the global robustness of the design alternatives is introduced based on an analog to Shannon's entropy. The goal of the resulting design is that the structural behavior is only marginally affected by uncertainty and by changes in the design parameters, which further provides comfortable decision margins to the construction engineer. The proposed procedure is demonstrated by means of a numerical example and of an example from engineering practice in vehicle crashworthiness design. © 2007 Elsevier Ltd. All rights reserved.
Source Title: Computers and Structures
ISSN: 00457949
DOI: 10.1016/j.compstruc.2007.05.037
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