Topology optimization using frame elements (for cases where eigen-frequencies are to be maximized)

Akihiro Takezawa, Tadahiro Saitou, Shinji Nishiwaki, Kazuhiro Izui, Masataka Yoshimura

研究成果: Article査読

抄録

This paper presents a new topology optimization method that maximizes multiple eigen-frequencies to obtain, at the conceptual design phase, the most stable designs of mechanical structures for dynamic problems. This method is developed based on frame elements that can consider the principal direction of the second moment of inertia in the cross-section to obtain optimal results that illustrate the relationship between the objective function and desired cross-sectional properties. For each frame element, an ellipsoidal cross-section is assumed as the simplest case. The normalized cross-sectional area, the rotational angle denoting the principal direction, and the ratio of the lengths of the major and minor axes, are considered as design variables. A method for obtaining the optimal angle is derived, based on the minimization of complementary energy. Finally, several numerical examples confirm the validity and utility of the proposed method, which should be useful for mechanical design engineers at the conceptual design phase.

寄稿の翻訳タイトルTopology optimization using frame elements (for cases where eigen-frequencies are to be maximized)
本文言語Japanese
ページ(範囲)3018-3025
ページ数8
ジャーナルNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
71
10
DOI
出版ステータスPublished - 2005 10
外部発表はい

Keywords

  • Computer Aided Engineering
  • Design Engineering
  • Framed Structure
  • Optimum Design
  • Sensitivity Analysis
  • Structural Analysis

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

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