支撑结构, 拓扑优化设计, 多目标优化, 折中规划, 分析层级法

Taking support structure as the object, multi-objective optimization for optimun layout of structural materials and for natural frequency maxinaization under multiple load cases was studied. Based on the SIMP (solid isotropic material with penalization) method, a compromise programming method was adopted to define objectives of multi-objective topology optimization.With the support structure for the study,a topology optimization model was established, using the analytic hierarchy method to determine the weight of each sub-goal, the multi-objective topology optimization was conducted,the layout was optimized,and the natural frequency was raised.The results of analysis show that the topology optimization process is a suitable solution to the optimization of plate and shell structures.