Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints

M. Ohsaki, K. Fujisawa, N. Katoh, Y. Kanno

研究成果: Contribution to journalArticle査読

54 被引用数 (Scopus)

抄録

Topology optimization problem of trusses for specified eigenvalue of vibration is formulated as Semi-Definite Programming (SDP), and an algorithm is presented based on the Semi-Definite Programming Algorithm (SDPA) which utilizes extensively the sparseness of the matrices. Since the sensitivity coefficients of the eigenvalues with respect to the design variables are not needed, the SDPA is especially useful for the case where the optimal design has multiple fundamental eigenvalues. Global and local modes are defined and a procedure is presented for generating optimal topology from the practical point of view. It is shown in the examples, that SDPA has advantage over existing methods in view of computational efficiency and accuracy of the solutions, and an optimal topology with five-fold fundamental eigenvalue is found without any difficulty.

本文言語英語
ページ(範囲)203-217
ページ数15
ジャーナルComputer Methods in Applied Mechanics and Engineering
180
1-2
DOI
出版ステータス出版済み - 11 15 1999
外部発表はい

All Science Journal Classification (ASJC) codes

  • 計算力学
  • 材料力学
  • 機械工学
  • 物理学および天文学(全般)
  • コンピュータ サイエンスの応用

フィンガープリント

「Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル