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序列线性规划方法优化应力约束类桁架结构

DOI: 10.11830/ISSN.1000-5013.2013.06.0691

Keywords: 拓扑优化, 应力约束, 多工况, 类桁架, 序列线性规划

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Abstract:

研究类桁架材料在多工况应力约束下拓扑优化分布问题.目标结构为非均匀各向异性连续分布类桁架材料构成的连续体.采用有限元方法进行力学分析,类桁架材料的杆件在结点位置的密度和方向作为设计变量,由结点位置的材料性质插值得到单元内部材料分布.推导相应材料的弹性矩阵和刚度矩阵及敏度信息.将材料体积目标函数和应力约束线性展开,建立优化问题列式.采用序列线性规划数学优化方法优化了杆件分布.该方法的优化结果可以作为进一步形成桁架结构的基础.

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