大规模动力系统改进的快速精细积分方法

摘要

提出一种针对大规模动力系统的改进的快速精细积分方法（FPIM）。以精细积分方法为基础,利用大规模动力系统矩阵的稀疏性和动力问题的物理特性,分析了矩阵指数的特殊结构,并基于此给出一种计算大规模动力系统矩阵指数及其动力响应的高效率方法。%In this paper,a fast precise integration method（FPIM） for computing the dynamic responses of large-scale structural systems has been proposed.By using the sparse property of system matrix and especially the physical nature of the system,the special structure of matrix exponential was given,then a fast algorithm for computing matrix exponential and the dynamic responses of large-scale structural systems was proposed.The numerical examples illustrate that the proposed method is fast and accurate.