2022-05-23T12:34:25Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000103622021-03-01T19:30:02ZShape Optimization Problems Considering Material Non-linearity and Geometrical Non-linearity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畔上, 秀幸31474AZEGAMI, Hideyuki31475井原, 久31476IHARA, Hisashi31477松岡, 智毅31478MATSUOKA, Noritaka31479下田, 昌利31480SHIMODA, Masatoshi31481渡邊, 勝彦31482WATANABE, Katsuhiko31483Optimum DesignNumerical AnalysisFinite-Element MethodTraction MethodThis 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 \nand 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.journal article日本機械学会2000-10application/pdf日本機械学会第4回最適化シンポジウム講演論文集139144http://hdl.handle.net/2237/12182https://nagoya.repo.nii.ac.jp/record/10362/files/110002486384.pdfjpnhttp://ci.nii.ac.jp/naid/110002486384/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