This paper proposes the double-layer optimization algorithm to solve the truss topology problem with bar local buckling constraints. With this algorithm, the constraints on the local buckling are treated as linear functions of the optimized variables, which ensures efficient computation. In addition, two practical algorithms are proposed to solve the problems of the existence of transient hinges and the difficulty in matching the bar sections with standard sections. In addition, the topology optimization plug-in, named Topaz, is developed in this paper in the Rhino-Grasshopper parametric modeling platform to facilitate rapid model building. Finally, numerical examples show that the optimization results satisfy the requirements of strength, local buckling, and slenderness ratio of the bar, which demonstrates the effectiveness of the proposed algorithm.

本文提出了双层优化算法来求解带杆局部屈曲约束的桁架拓扑问题。该算法将局部屈曲的约束视为优化变量的线性函数，从而保证了计算的高效性。此外，还提出了两种实用的算法来解决瞬态铰的存在以及杆件截面与标准截面匹配困难的问题。此外，本文在Rhino-Grasshopper参数化建模平台上开发了名为Topaz的拓扑优化插件，以方便快速构建模型。最后算例表明，优化结果满足杆件强度、局部屈曲和长细比的要求，验证了该算法的有效性。