考虑动荷载响应的结构形状优化设计研究

以产生相同位移场为基础，将动荷载转化为一系列的等效静荷载，然后将这些等效静荷载作为多个载荷工况进行有限元优化设计分析. 通过几个算例的验证，表明这种基于动荷载等效转换的算法能够反映动荷载对结构的动力响应，对具有大规模自由度的结构形状优化问题是有效的.

STRUCTURAL SHAPE OPTIMIZATION WITH DYNAMIC RESPONSE INCORPORATED

In structural optimization,applied loads are usually assumed to be static for most practical ap- plications even though in a dynamic case.The results show that the static optimization using a dynamic factor cannot properly account for the effects of a dynamic response.The present study performs the dynamic response optimization with equivalent static loads,which generate the same displacement field as that under dynamic loads.This algorithm is a transformation of a dynamic load into a set of equivalent static loads and a subsequent static response optimization with the transformed equivalent static loads as a multiple load case. Various examples are solved to verify the algorithm.The results are compared to those under static loads.It is found that the algorithm is valid for very large-scale shape optimization problems.