2024-03-29T01:47:50Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00005632
2023-01-16T03:50:20Z
312:313:314
Solution to Domain Optimization Problems
領域最適化問題の一解法
畔上, 秀幸
14854
Azegami, Hideyuki
14855
Optimum Design
Computer-Aided Design
Numerical Analysis
Computational Mechanics
Finite-Element Method
Domain Optimization
Elliptic Boundary Value Problem
Gradient Method
Traction Method
For optimization problems of domains in which elliptic boundary value problems are defined a solution is proposed. The treated problems are those to determine the domain that minimizes an objective functional of the state functions under the conditions that the coefficient functions of the partial differential equations and the boundary value functions in the elliptic boundary value problems have smoothness and a one-to-one correspondence with domain variation and that the volumes of the domains are limited.Domain variation is formulated with a speed field.The derivative of the objective functional is obtained as a linear form of a shape gradient function. The solution is formulated by using the gradient method in the functional space of the speed field with the linear form of the shape gradient function.The solution is implemented to analyze the speed field with regard to the deformation field of the linear elastic continuum formed in the objective domain applying the force in proprtion to the shape gradient function.
journal article
日本機械学会
1994-06
application/pdf
日本機械学会論文集 A編
574
60
1479
1486
http://hdl.handle.net/2237/7238
03875008
https://nagoya.repo.nii.ac.jp/record/5632/files/JSME-A60-1479.pdf
jpn
日本機械学会