3313 温度依存性材料の定常熱伝導場における形状最適化(J25-3 解析・設計の高度化・最適化III,ジョイントセッション,21世紀地球環境革命の機械工学:人・マイクロナノ・エネルギー・環境)

概要

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This paper presents a numerical analysis method for solving shape optimization problems of domains in which steady-state heat conduction fields considering temperature dependency of thermal conductivity coefficient are defined. In this paper, we formulated a maximaization problem of thermal dissipation on heat transfer boundaries in the heat conduction fields and theoretically derived shape gradient function for the problem using the Lagrange multiplier method and the formulation of material derivative. Reshaping was accomplished using a traction method that was proposed as a solution to the shape optimization problems. The validity of the proposed method was confirmed by the results of 2D numerical analysis.
一般社団法人日本機械学会の論文
2008-08-02