基于ICM方法的多工况位移约束下板壳结构拓扑优化设计

基于ICM方法,建立了多种载荷工况下受位移约束极小化结构重量的拓扑优化近似显式模型,采用精确对偶映射下的序列二次规划算法进行求解,得到了结构的最优拓扑.数值算例表明:ICM方法也可以很好地应用于多工况下板壳结构拓扑优化设计,且收敛快,稳定性好；边界条件和位移约束值都会影响结构的最优拓扑；多工况最优传力路径不是各个单工况最优传力路径的简单叠加.

TOPOLOGICAL OPTIMIZATION OF PLATE-AND SHELL-LIKE STRUCTURES WITH DISPLACEMENT CONSTRAINTS UNDER MULTI-STATE LOADINGS BASED ON ICM METHOD

Based on ICM method,an approximately explicit topological optimization model of plate-and shell-like structures is established to minimize the weight with displacement constraints under multi-state loadings.The model is solved by SQP(sequential quadratic programming) algorithm using exact dual mapping and the optimal topology is obtained finally.Several numerical examples show that:(1) ICM method is effective in dealing with the topological optimization of plate-and shell-like structures under multi-state loadings,which possesses the advantages of fast convergence and good stability;(2) both boundary conditions and displacement constraint values can produce influence on the results of structural topology optimization;(3) the force-transfer path in multi-state loadings is not a simple superposition of those in each single-state loading.