Hits:

Indexed by:期刊论文

Date of Publication:2016-03-01

Journal:INTERNATIONAL JOURNAL OF APPLIED MECHANICS

Included Journals:SCIE、EI、Scopus

Volume:8

Issue:2

ISSN No.:1758-8251

Key Words:Periodic structures; matrix exponential; precise integration method; dynamic responses

Abstract: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.