兼顾静动荷载的结构拓扑优化方法

为避免考虑瞬态动力性能时拓扑优化的高计算成本，满足工程快速设计的需求，获得主要静动荷载作用下的合理结构形态，本文提出了一种低计算成本的兼顾静动荷载的结构拓扑优化方法。施加的动荷载是地震等效荷载，用振型分解法和抗震规范中的反应谱曲线确定；通过结构形态、动力特性和地震等效静载的相互反馈和作用实现了考虑结构动力特性的拓扑优化；此外，还提出方法的自动进化策略。算例表明，方法可有效实现兼顾静动性能的拓扑优化。

Structural topology optimization combining static and dynamic loads

To avoid the high computational cost of topology optimization considering the transient dynamic performance, meet the requirements of rapid engineering design and obtain a reasonable structure shape under the main static and dynamic loads, a structural topology optimization method with low computational cost is proposed.The applied dynamic load is an equivalent seismic load, which is determined by the mode decomposition method and the response spectrum curve in the seismic code.The structural dynamic characteristics are optimized by the interaction between structural shape, dynamic characteristics and equivalent seismic static load in the topology optimization.In addition, the automatic evolution strategy of the method is proposed.Numerical examples show that the proposed method can effectively realize topology optimization of structures under static and dynamic loads.