刚架结构拓扑修改的加权广义逆方法

Weighted generalized inverse method for topological modification of frame structures

利用刚架结构刚度矩阵的加权分解和矩阵加权广义逆理论,提出了刚架结构拓扑修改方法——M-P加权广义逆拓扑变化法。该方法适用于刚架结构拓扑优化设计(特别是局部优化设计)的重分析。由于文中给出的刚架结构拓扑变化公式都是显性而简单的,所以具有很好的计算效率。

A topological modification method for the frame structure M-P weighted generalized inverse topological modification method, was suggested using the weighted factorization of the stiffness matrix and the weighted generalized inverse method of matrix. It is suitable for the topological optimal design of the frame structure, especially for the reanalysis of the local optimal design. The suggested method is charaterized by high calculation efficiency because of explicity and simplicity of the given frame structure topological modification formulas.