2024-03-19T09:59:26Z
https://nagoya.repo.nii.ac.jp/oai
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2023-01-16T03:56:18Z
312:313:314
Multiobjective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions (Dealing with Mean Compliance Minimization problems)
SHIMODA, Masatoshi
31350
AZEGAMI, Hideyuki
31351
SAKURAI, Toshiaki
31352
Optimum Design
Computational Mechanics
Finite Element Method
Structural Analysis
Domain Optimization
Multiobjective Optimization
Pareto Solution
Traction Method
Multiply Connected Domain
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.
journal article
日本機械学会
1996-07-15
application/pdf
JSME international journal. Series A
3
39
407
414
http://hdl.handle.net/2237/12155
0914-8809
https://nagoya.repo.nii.ac.jp/record/10335/files/110002964479_Multiobjective_shape_optimization.pdf
eng
http://ci.nii.ac.jp/naid/110002964479/
日本機械学会
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