惯性载荷作用下火箭橇结构拓扑优化设计  

Topology optimization of rocket sled structure under inertial loads

作　　者：易垒[1] 文毅[1] 

机构地区：[1]西安交通大学航天航空学院机械结构强度与振动国家重点实验室,西安710049

出　　处：《应用力学学报》2013年第1期80-85,148-149,共6页Chinese Journal of Applied Mechanics

摘　　要：基于均匀化优化方法,以结构的刚度最大化为目标、材料用量为约束,推导了考虑惯性载荷的准则法公式。由于目标函数具有非单调特性,拓扑优化迭代不易收敛到最优解,因此提出了对准则法迭代中涉及惯性载荷敏度计算部分的修正。通过实例研究表明:本文提出的修正准则法可以保证迭代过程平稳且获得最佳拓扑构型,该拓扑构型与SIMP和BESO方法的基本一致,说明了本文方法的可行性。最后利用本文方法对火箭橇结构进行了拓扑优化设计,所得结果对工程设计应用可提供有益的参考。Structural topology optimization under inertial loads is a load-dependent problem.In the paper,Structural compliance is taken as objective function and volume of materials is taken as constraint variable.Based on homogenization method,an optimality criteria(OC) formula is derived that include the effect of inertial loads.Because the object function is non-monotonous,iterative process of optimization can produce oscillation and it is not easy to converge to optimal solution.So an updated scheme of OC is presented that improved the sensitivity compution about inertial load.The test examples show that the presented updated OC can steadily iterate to optimal topology solution.Finally,the topological structure of a rocket sled is optimized using the presented method.

关 键 词：拓扑优化 均匀化法 准则法 惯性载荷 火箭橇 

分 类 号：TH121[机械工程—机械设计及理论]