Multiobjective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions (Dealing with Mean Compliance Minimization problems)
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概要
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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.
- 社団法人日本機械学会の論文
- 1996-07-15
著者
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Sakurai Toshiaki
Mitsubishi Motors Corporation
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SHIMODA Masatoshi
Mitsubishi Motors Corporation
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AZEGAMI Hideyuki
Toyohashi University of Technology
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Sakurai Toshiaki
Osg
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