3312 圧力荷重下のソリッド体の形状最適化(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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In this paper we present a shape optimization method of solid structure under a pressure load applied in the normal direction to the specified boundary. The rigidity design problem with the variable pressure boundary is formulated. The compliance is minimized subjected to a volume constraint and the state equation. The shape gradient function for this problem is derived considering the variation of the normal direction of the pressure boundary. The traction method which is a gradient method in the Hibert space is used to determined the optimum shape. The smooth optimum boundary is determined by using this method without any shape parameterization of design variables. The proposed method is applied to two design problems, i.e., a vessel under a depth dependent pressure or an uniform pressure, and a dam under a hydrostatic pressure. The validity of this method for the shape optimum design of solid structures with the variable pressure boundary was verified from the obtained results.
2008-08-02