318 固有振動数制約付き Mindlin 板・シェル構造の重量最小形状設計

概要

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In this paper, we present a solution to shape optimization of plate and shell structures for a natural frequency problem. The weight is minimized under a natural frequency constraint. The designed boundaries are assumed to be movable only to in-plane directions. Optimized structures are discretized by the plane elements based on the Mindlin-Reissner's plate theory. A non-parametric, or a distributed shape optimization problem is formulated and the shape gradient function is theoretically derived using the material derivative method and the Lagrange multiplier method. The traction method, or the shape optimization method developed by authors is applied to obtain the optimal shape in this problem. The validity of this numerical solution to minimize the weight of plate and shell structures is verified through simple and practical examples.
一般社団法人日本機械学会の論文
2003-09-15