リュウ ヨウ   Liu Yang
  劉 陽
   所属   崇城大学  工学部 機械工学科
   崇城大学大学院  工学研究科 機械工学専攻
   崇城大学大学院  工学研究科 機械システム工学専攻
   職種   准教授
言語種別 英語
発行・発表の年月 2015/08
形態種別 原著論文
査読 査読有り
標題 Free-form optimization of thin-walled structure for frequency response problem
執筆形態 共著
掲載誌名 Shock and Vibration
掲載区分国外
巻・号・頁 Vol. 2015(Article ID 471646),pp.1-11
担当範囲 Corresponding author
著者・共著者 M. Shimoda, Yang Liu
概要 In this paper, we present a node-based free-formoptimizationmethod for designing forms of thin-walled structures in order to control vibration displacements or mode at a prescribed frequency. A squared displacement error norm is introduced at the prescribed surface as the objective functional to control the vibration displacements to target values in a frequency response problem. It is assumed that the thin-walled structure is varied in the normal direction to the surface and the thickness is constant. A nonparametric shape optimization problem is formulated, and the shape gradient function is theoretically derived using the material derivative method and the adjoint variable method. The shape gradient function obtained is applied to the surface of the thin-walled structure as a fictitious traction force to vary the form. With this free-form optimization method, an optimum thin-walled structure with a smooth free-form surface can be obtained without any shape parameterization.