2304 シェル構造の外形形状最適化のための一解法(OS5-1 設計と最適化I)

概要

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This paper presents a numerical optimization method for optimal configuration design of shell structures. It is assumed that the shell surface is varied in the out-of-plane direction to optimize its configuration, and the thickness is constant. A solution to compliance minimization problem subject to a volume constraint is proposed to maximize the stiffness of shell structures. With this solution, the optimal configuration is obtained without any parameterization of the design variables. The problem is formulated as a non-parametric shape optimization problem. The shape gradient function is theoretically derived using the material derivative formulas, Lagrange multiplier method and the adjoint variable method. The traction method, which was proposed as a gradient method in Hilbert space, is applied to determine the smooth shell surface while minimizing the objective functional. In the design velocity analysis of the traction method, earth spring elements are added to shell surface to restrain a rigid-motion-like shape variation and to stabilize the convergence. The calculated results show the effectiveness of the proposed method for optimal configuration design of shell structures.
一般社団法人日本機械学会の論文
2007-10-30