803 周波数応答問題におけるモードコントロールを目的とするシェル構造のフリーフォルム最適化(OS8. 計算力学と最適化(1),オーガナイズドセッション講演)

概要

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In this paper, we present a free-form optimization method for designing shell's form in order to control the vibration mode at a prescribed frequency to a target mode. With the free-form optimization method, an optimum shell with smooth free-form surface can be obtained without any shape parameterization. We introduce a squared displacements error norm at the prescribed surface as the objective functional to control the vibration mode to a desired one in a frequency response problem. It is assumed that the shell was varied in the normal direction to the surface and the thickness is constant. A non-parametric shape optimization problem is formulated, and the shape gradient function is theoretically derived using the material derivative method. The shape gradient function is applied to the shell surface as the pseudo traction force to vary the form. The calculated results show the effectiveness of the proposed method for the optimal free-form design of shell structures aiming at mode control.
一般社団法人日本機械学会の論文
2010-09-23