2024-03-29T00:05:06Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00010364
2023-01-16T03:56:18Z
312:313:314
Creation of Mechanism Using Linear Elastic Deformation
線形弾性変形を利用したメカニズムの創生
畔上, 秀幸
31488
AZEGAMI, Hideyuki
31489
佐竹, 晶宙
31490
SATAKE, Akihiro
31491
児玉, 和美
31492
KODAMA, Kazumi
31493
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.
journal article
日本機械学会
2000-08
application/pdf
日本機械学会2000年度年次大会講演論文集
00-1
I
133
134
http://hdl.handle.net/2237/12184
https://nagoya.repo.nii.ac.jp/record/10364/files/110002522188.pdf
jpn
http://ci.nii.ac.jp/naid/110002522188/
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