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论文类型：期刊论文

发表时间：2013-09-01

发表刊物：COMPUTATIONAL MECHANICS

收录刊物：SCIE、EI、Scopus

卷号：52

期号：3

页面范围：525-534

ISSN号：0178-7675

关键字：Precise integration method; Periodic structures; Exponential of a matrix; Dynamic responses

摘要：This paper proposes an efficient algorithm for computing the dynamic responses of one-dimensional periodic structures and periodic structures with defects. It uses the symmetric property of the periodic structure and the energy propagation feature of the dynamic system to analyze the algebraic structure of the matrix exponential corresponding to one-dimensional periodic structures and periodic structures with defects. By using the special algebraic structure of this matrix exponential and the precise integration method, an efficient and accurate algorithm is proposed for computing the matrix exponential corresponding to one-dimensional periodic structures or periodic structures with defects. Hence an efficient method is presented for computing the dynamic responses of one-dimensional periodic structures and periodic structures with defects. It is accurate, efficient and saves memory.