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Multiobjective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions : Dealing with Mean Compliance Minimization problems

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  • Multiobjective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions (Dealing with Mean Compliance Minimization problems)

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Abstract

We describe numerical analysis methods for multiobjective shape optimization of linear elastic structures. As an example, we consider a multiloading mean compliance minimization problem with a volume constraint. The methods presented here are based on the traction method, in which the speed field representing the domain variation is analyzed. A weighted lp-norm method with four types of norm is employed to scalarize the multiobjective functionals. The shape gradient functions for each scalarized objective functional are obtained using the Lagrange multiplier method. A general-purpose finite element code is used to perform the numerical analyses. Numerical analysis results for a multiply connected plate problem and a solid structure problem under multiloading conditions are presented to demonstrate the validity of the traction method in obtaining Pareto optimal solutions.

・rights:日本機械学会・rights:本文データは学協会の許諾に基づきCiNiiから複製したものである・relation:isVersionOf:http://ci.nii.ac.jp/naid/110002964479/

source:http://ci.nii.ac.jp/naid/110002964479/

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