半正定値計画法を用いた指定座屈荷重係数を有するトラスのトポロジー最適化

Translated title of the contribution: TOPOLOGY OPTIMIZATION OF TRUSSES FOR SPECIFIED MULTIPLE LINEAR BUCKLING LOAD FACTORS BY USING SEMIDEFINITE PROGRAMMING

寒野 善博, 大崎 純, 藤澤 克樹, 加藤 直樹

Research output: Contribution to journalArticle

Abstract

An algorithm based on Semi-Definite Programming (SDP) is proposed for the truss topology optimization problem for specified linear buckling load factor, and optimal topologies of trusses are computed by using the Semi-Definite Programming Algorithm (SDPA). It is well known that optimizing structures for specified buckling load factor is difficult because of non-differentiability of the buckling load factor for the case of multimodal solutions. It is shown, in the examples, that the proposed algorithm is applicable to multimodal cases, and an optimal topology with five-fold buckling load factors is found without any difficulty.
Translated title of the contributionTOPOLOGY OPTIMIZATION OF TRUSSES FOR SPECIFIED MULTIPLE LINEAR BUCKLING LOAD FACTORS BY USING SEMIDEFINITE PROGRAMMING
Original languageJapanese
Pages (from-to)113-119
Number of pages7
JournalJournal of Structural and Construction Engineering
Volume66
Issue number541
DOIs
Publication statusPublished - 2001

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