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熱変形分布を規定する熱弾性場における形状同定問題の解法 Solution to Shape Identification Problem on Thermoelastic Solids with Desired Distribution of Thermal Deformation 片峯, 英次 KATAMINE, Eiji 平井, 雅大 HIRAI, Masahiro 畔上, 秀幸 AZEGAMI, Hideyuki 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 Shape Identification Shape Optimization Computer Aided Design Thermoelastic Solid Adjoint Method Traction Method This paper presents a numerical analysis method for solving the shape identification problems of thermoelastic fields. The square error integral between the actual thermal deformation distributions and the prescribed thermal deformation distributions on the prescribed sub-boundaries is used as the objective functional. The shape gradient of the shape identification problems was derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative. Reshaping was accomplished using a traction method that was proposed as a solution to the domain optimization problems. A new numerical procedure for the shape identification was proposed. The validity of the proposed method was confirmed by the results of 3D numerical analysis. 日本機械学会 2005-09 jpn journal article VoR http://hdl.handle.net/2237/12166 https://nagoya.repo.nii.ac.jp/records/10346 http://ci.nii.ac.jp/naid/110006191078/ 日本機械学会2005年度年次大会講演論文集 6 05-1 35 36 https://nagoya.repo.nii.ac.jp/record/10346/files/110006191078.pdf application/pdf 276.0 kB 2018-02-20