ホモロガス変形を目的とする連続体の形状決定

概要

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In this paper we present a numerical analysis method for the boundary design of continua in order to control the displacement mode to a prescribed mode, which is known as the homology design. As an objective functional, we introduce a squared displacement error norm on the prescribed boundaries. Using the Lagrange multiplier method, a shape identification problem subject to a volume constraint is formulated. The shape gradient function derived using the material derivative method and the adjoint variable method is used in the traction method. With the traction method, the domain variation that minimizes the objective functional is numerically and iteratively determined. The state equation and the adjoint equation are solved using a general-purpose FEM code to evaluate the objective functional and the shape gradient function. The calculated results of 2D and 3D problems show the effectiveness and practical utility of the proposed method to control the displacement mode.
一般社団法人日本機械学会の論文
1996-12-25