組合せ剛性理論に基づく冗長性を考慮したトラス構造物の最適設計法

DOI Web Site Web Site 参考文献8件
  • 古田 理恵
    京都大学大学院工学研究科建築学専攻　大学院生
  • 山川 誠
    東京電機大学未来科学部建築学科　准教授・博士（工学）
  • 加藤 直樹
    京都大学大学院工学研究科建築学専攻　教授・工博
  • 荒木 慶一
    京都大学大学院工学研究科建築学専攻　准教授・博士（工学）
  • 大崎 純
    広島大学大学院工学研究科建築学専攻　教授・博士（工学）

書誌事項

タイトル別名
  • A DESIGN METHOD FOR OPTIMAL TRUSS STRUCTURES WITH REDUNDANCY BASED ON COMBINATORIAL RIGIDITY THEORY
  • クミアワセ ゴウセイ リロン ニ モトズク ジョウチョウセイ オ コウリョ シタ トラス コウゾウブツ ノ サイテキ セッケイホウ

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説明

The Truss Topology Design (TTD) problem deals with the selection of optimal configuration for pin-jointed trusses, in particular, optimization of the connectivity of the nodes by the members, in which volume and/or compliance are minimized. In general, it is known that such truss structures are statically determinate and not redundantly rigid, that is, if just one member is damaged or lost, the entire structure cannot support loads. Therefore, it is important to take redundancy of structures into consideration in the TTD. In this paper, we present a new practical design method for finding a redundant TTD based on combinatorial rigidity theory. We define, as redundancy, the margin of the number of members until the collapse of the entire structure when some components are damaged or lost. A truss structure is said to be a “2-edge-rigid truss” if we need to remove at least two members from the truss structure so that the structure becomes non-rigid. We can find a 2-edge-rigid TTD by using a method based on combinatorial rigidity theory. The present method enables us to find an approximately optimal TTD with low computational cost. In the numerical examples, we obtain redundantly rigid truss structures, in which the objective value of the solution is about one percent greater than that of the lower bound solution. Therefore, we can conclude that the method is effective to design an optimal redundant truss structure.

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