2024-03-29T12:14:48Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00010362
2023-01-16T03:56:18Z
312:313:314
材料非線形性と幾何学的非線形性を考慮した形状最適化問題
Shape Optimization Problems Considering Material Non-linearity and Geometrical Non-linearity
畔上, 秀幸
AZEGAMI, Hideyuki
井原, 久
IHARA, Hisashi
松岡, 智毅
MATSUOKA, Noritaka
下田, 昌利
SHIMODA, Masatoshi
渡邊, 勝彦
WATANABE, Katsuhiko
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
Traction Method
This paper presents a numerical solution to boundary shape optimization problems of continua with respect to minimization problem of external work under a volume constraint taking into account material non-linearity and minimization problem of the time integration of squared error on the responded velocity and the prescribed velocity under a volume constraint taking into account geometrical non-linerity. Shape variation is described by using a one-parameter family of mappings defined in a domain where a continuum lies initially. The shape sensitivities are derived using the Lagrange multiplier method and the formula of the material derivative. A procedure to solve this problem using the traction method is presented, which one of the authors has proposed as an approach to solving domain optimization problems. The varidity of proposed method is verified by applying basic numerical examples.
日本機械学会
2000-10
jpn
journal article
VoR
http://hdl.handle.net/2237/12182
https://nagoya.repo.nii.ac.jp/records/10362
http://ci.nii.ac.jp/naid/110002486384/
日本機械学会第4回最適化シンポジウム講演論文集
139
144
https://nagoya.repo.nii.ac.jp/record/10362/files/110002486384.pdf
application/pdf
726.8 kB
2018-02-20