周期结构动力响应的高效数值方法

摘要

In this paper, an efficient algorithm was proposed for computing the dynamic response of periodic structures. Based on precise integration method, by using the symmetry of periodic structures and the physical feature of dynamic structures, the special structure of matrix exponential for periodic structures was given, and then an efficient algorithm for computing matrix exponential and the dynamic response of periodic structures was proposed. The algorithm is confirmed to be efficient and memory-saving.%提出一种计算周期结构动力响应的高效率算法．以精细积分方法为基础，利用周期结构的对称性和动力问题的物理特性，分析了周期结构对应矩阵指数的特殊结构，并基于此给出一种计算周期结构对应矩阵指数的高效率方法．在高效和精确计算周期结构对应矩阵指数的基础上，得到了周期结构动力响应的高效率和高精度算法．数值算例表明，该方法效率高且节省存储要求．