点击次数：

论文类型：期刊论文

发表时间：2016-03-01

发表刊物：INTERNATIONAL JOURNAL OF APPLIED MECHANICS

收录刊物：SCIE、EI、Scopus

卷号：8

期号：2

ISSN号：1758-8251

关键字：Periodic structures; matrix exponential; precise integration method; dynamic responses

摘要：In this paper, an accurate and efficient method is presented for analyzing the dynamic response of two-dimensional (2D) periodic structures. The algebraic structure of the corresponding matrix exponential is analyzed and, based on its special structure, an accurate and efficient method for its computation is proposed. Accuracy is maintained using the precise integration method (PIM), and great efficiency is achieved in the computational effort using the periodic properties of the structure and the energy propagation features of the dynamic system. The proposed method is compared with the conventional Newmark and Runge-Kutta (R-K) methods, and it is shown to be accurate, efficient and extremely frugal in its memory requirements.