当前位置: X-MOL 学术Acta Mech. Solida Sin. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Topology Optimization of Truss-Like Structure with Stress Constraints Under Multiple-Load Cases
Acta Mechanica Solida Sinica ( IF 2.2 ) Pub Date : 2019-08-08 , DOI: 10.1007/s10338-019-00125-3
Hao Cui , Kemin Zhou

A new method for topology optimization of truss-like structures with stress constraints under multiple-load cases (MLCs) is presented. A spatial truss-like material model with three families of orthotropic members is adopted, in which the three families of members along three orthotropic directions are embedded continuously in a weak matrix. The densities and directions of the three families of members at the nodes are taken as the design variables. An optimality criterion is suggested based on the concept of directional stiffness. First, under each single-load case (SLC), the truss-like structure is optimized as per the fully stressed criterion. Accordingly, the directional stiffness of the optimal structure under an SLC at every node is obtained. Next, the directional stiffness of the truss-like structure under MLCs is determined by ensuring that the directional stiffness is as similar as possible to the maximum directional stiffness of the optimal structure under every SLC along all directions. Finally, the directions and densities of the members in the optimal truss-like structures under MLCs are obtained by solving the eigenvalue problems of the coefficient matrix of the directional stiffness at every node. Two examples are presented to demonstrate the effectiveness and efficiency of the method.

中文翻译:

多载荷工况下具有应力约束的桁架状结构的拓扑优化

提出了一种在多载荷工况下受应力约束的桁架状结构拓扑优化的新方法。采用具有三类正交异性构件的空间桁架状材料模型,其中沿三个正交异性方向的三类构件连续嵌入弱矩阵中。将节点处三个成员家族的密度和方向作为设计变量。根据方向刚度的概念,提出了一个最优准则。首先,在每个单载荷情况下(SLC),按照完全受力准则优化桁架状结构。因此,获得了每个节点在SLC下最优结构的方向刚度。下一个,通过确保方向刚度与每个SLC沿所有方向的最佳结构的最大方向刚度尽可能相似,可以确定MLC下桁架状结构的方向刚度。最后,通过求解每个节点的方向刚度系数矩阵的特征值问题,获得了MLC下最优桁架状结构中构件的方向和密度。给出两个例子来证明该方法的有效性和效率。通过求解每个节点的方向刚度系数矩阵的特征值问题,获得了MLC下最优桁架状结构中构件的方向和密度。给出两个例子来证明该方法的有效性和效率。通过求解每个节点的方向刚度系数矩阵的特征值问题,获得了MLC下最优桁架状结构中构件的方向和密度。给出两个例子来证明该方法的有效性和效率。
更新日期:2019-08-08
down
wechat
bug