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

Translated title of the contribution: Topology optimization using frame elements (for cases where eigen-frequencies are to be maximized)

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

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Translated title of the contributionTopology optimization using frame elements (for cases where eigen-frequencies are to be maximized)
Original languageJapanese
Pages (from-to)3018-3025
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume71
Issue number10
DOIs
Publication statusPublished - 2005 Oct
Externally publishedYes

ASJC Scopus subject areas

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

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