On the equivalence of minimum compliance and stress‐constrained minimum weight design of trusses under multiple loading conditions

On the equivalence of minimum compliance and stress‐constrained minimum weight design of trusses under multiple loading conditions

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Article ID: iaor20126656
Volume: 46
Issue: 5
Start Page Number: 679
End Page Number: 691
Publication Date: Nov 2012
Journal: Structural and Multidisciplinary Optimization
Authors: ,
Keywords: engineering, design
Abstract:

This article is devoted to topology optimization of trusses under multiple loading conditions. Compliance minimization with material volume constraint and stress‐constrained minimum weight problem are considered. In the case of a single loading condition, it has been shown that the two problems have the same optimal topology. The possibility of extending this result for problems involving multiple loading conditions is examined in the present work. First, the compliance minimization problem is formulated as a multicriterion optimization problem, where the conflicting criteria are the compliances of the different loading conditions. Then, the optimal topologies of the stress‐constrained minimum weight problem and the multicriterion compliance minimization problem for a simple test example are compared. The results verify that when multiple loading conditions are involved, the stress‐constrained minimum weight topology cannot be obtained in general by solving the compliance minimization problem.

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