2021-09-26T15:16:01Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000056292021-03-01T20:24:33Z幾何学的非線形性を考慮した変形経路制御問題に対する形状最適化Shape Optimization for Displacement Path Control Problem Considering Geometrical Non-linearity井原, 久Ihara, Hisashi畔上, 秀幸Azegami, Hideyuki下田, 昌利Shimoda, Masatoshi日本機械学会Optimum DesignNonlinear ProblemNumerical AnalysisFinite Element MethodDesign Sensitivity AnalysisShape OptimizationTraction MethodThis paper presents a shape optimization method to displacement path control problem taking into account geometrical non-linerity. The aim in this paper is to minimize the time integration of squared displacement error norm on the responded mode and the prescribed mode by varying a boundary shape under a volume constraint. The shape sensitivity is 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 validity of proposed method is verified by applying to basic numerical examples.日本機械学会2001-04jpnjournal articlehttp://hdl.handle.net/2237/7235https://nagoya.repo.nii.ac.jp/records/562903875008日本機械学会論文集67656611617https://nagoya.repo.nii.ac.jp/record/5629/files/JSME-A67-611.pdfapplication/pdf605.4 kB2018-02-19