2024-03-28T18:05:48Z
https://nagoya.repo.nii.ac.jp/oai
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2023-01-16T03:56:19Z
312:598:703
力法による形状最適化スキームにおける収束性の改善
Improvement of Convergency in Shape Optimization Scheme by Traction Method
竹内, 謙善
TAKEUCHI, Kenzen
畔上, 秀幸
AZEGAMI, Hideyuki
open access
日本機械学会
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
Optimum Design
Numerical Analysis
Finite-Element Method
Adjoint Variable Method
Gradient Method
This paper presents an improvement of the traction method that was proposed as a solution of shape optimization problems of domain boundaries in which boundary value problems of partial differential equations are defined. Using the theory of the gradient method in Hilbert space the principle of the traction method is presented. Based on the principle a new method is proposed by selecting another bounded coercive bilinear form from the previous method. The proposed method obtains domain variation with solution of a boundary value problem with the Robin condition using the shape gradient. With respect to a three-dimensional bar problem with notch that was not solved with the previous method the proposed method obtained smooth convergence.
日本機械学会
2001-08
jpn
journal article
VoR
http://hdl.handle.net/2237/12179
https://nagoya.repo.nii.ac.jp/records/10359
http://ci.nii.ac.jp/naid/110002527206/
日本機械学会2001年度年次大会講演論文集
ⅴ
01-1
39
40
https://nagoya.repo.nii.ac.jp/record/10359/files/110002527206.pdf
application/pdf
227.0 kB
2018-02-20