Generation of Link Mechanism by Shape-Topology Optimization of Trusses Considering Geometrical Nonlinearity

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  • OHSAKI Makoto
    Department of Architecture and Architectural Engineering, Kyoto University
  • NISHIWAKI Shinji
    京都大学大学院工学研究科航空宇宙工学専攻

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  • 幾何学的非線形性を考慮したトラスの形状・トポロジー最適化によるリンク機構の生成
  • キカガクテキ ヒセンケイセイ オ コウリョシタ トラス ノ ケイジョウ トポロジー サイテキカ ニ ヨル リンク キコウ ノ セイセイ

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Abstract

A two-stage general optimization approach is presented for generating link mechanisms from a highly connected ground structure. The structure is modeled as a pin-jointed truss, and is to be optimized so that a large displacement is generated in the specified direction at the output node. The design variables are the cross-sectional areas of the members and the nodal locations. The equilibrium path of an unstable mechanism is traced by the displacement control method. In the first step, the unnecessary members are removed by solving the optimization problem for minimizing the total structural volume under constraints on the maximum load, the displacement at the specified node, and the stiffnesses at the initial and final states. In the second step, the deviation of the displacement of the output node from the specified direction is minimized. It is shown in the numerical examples that several mechanisms can be naturally found as a result of the two-stage optimization starting from randomly selected initial solutions.

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