2024-03-29T07:26:08Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00010364
2023-01-16T03:56:18Z
312:313:314
線形弾性変形を利用したメカニズムの創生
Creation of Mechanism Using Linear Elastic Deformation
畔上, 秀幸
AZEGAMI, Hideyuki
佐竹, 晶宙
SATAKE, Akihiro
児玉, 和美
KODAMA, Kazumi
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 analysis method for boundary shape optimization problems of elastic continua to maximize the displacement on prescribed sub-boundaries by given external loads while maintaining stiffness. Mean displacement defined by integral of product of displacement and virtual boundary force on the prescribed sub-boundary is chosen as an objective functional. To maintain the stiffness, constraints for external works in two linear elastic problems are added to volume constraint. The shape gradient function of the problem is derived using the Lagrange multiplier method and the formula of material derivative. Reshaping was accomplished by the traction method. The Lagrange multipliers are determined based on the Kuhn-Tucker conditions by the Newton-Raphson method while the derivatives of the constraint functionals with respect to the Lagrange multipliers are evaluated using the finite differences. The presented method was applied to a three-dimensional gripper problem.
日本機械学会
2000-08
jpn
journal article
VoR
http://hdl.handle.net/2237/12184
https://nagoya.repo.nii.ac.jp/records/10364
http://ci.nii.ac.jp/naid/110002522188/
日本機械学会2000年度年次大会講演論文集
I
00-1
133
134
https://nagoya.repo.nii.ac.jp/record/10364/files/110002522188.pdf
application/pdf
228.6 kB
2018-02-20