位移最小化的抗风柱的拓扑优化设计

Topological Optimum Design of Wind Resistant Pillars with Minimal Displacement

通过对抗风柱的分析,得出抗风柱的拓扑优化模型.分析抗风柱在不同长细比时的处理方法,即在抗风柱的长细比较大的时候可以采取将柱分段,将每段划分有限元网格,进行有限元分析.每一段的处理方法和最终结果是相同的.优化基结构采用各向异性类桁架连续体材料模型,以材料在结点位置的密度和主方向为设计变量,结点在指定方向的位移为目标函数.采用优化准则法,借助有限元分析,优化材料分布场形成类桁架连续体,得到抗风柱的优化结果.

The topology optimization models of wind resistant pillars were established by analyzing their different slenderness ratios.The wind resistant pillars with larger slenderness ratios were divided into several segments.The every segment was divided by finite element mesh and was analyzed by finite element method.The optimization method and optimization results were identical for every segment.The anisotropic truss-like continua material model was adopted as ground structures.The densities and principal orientations of material at nodes were taken as design variables.The nodal displacement along the prescribed direction was taken as the objective function.The material distribution field were optimized to form truss-like continua by optimality criteria method.As the result,the optimized wind resistant pillars were obtained.