点击次数：

论文类型：期刊论文

发表时间：2012-01-01

发表刊物：LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES

收录刊物：SCIE、Scopus

卷号：9

期号：5

页面范围：569-579

ISSN号：1679-7817

关键字：Infinitely periodic structure; Symplectic mathematics; Variable separation; Pseudo-excitation method; Random vibration

摘要：A general symplectic method for the random response analysis of infinitely periodic structures subjected to stationary/non-stationary random excitations is developed using symplectic mathematics in conjunction with variable separation and the pseudo-excitation method (PEM). Starting from the equation of motion for a single loaded sub-structure, symplectic analysis is firstly used to eliminate the dependent degrees of the freedom through condensation. A Fourier expansion of the condensed equation of motion is then applied to separate the variables of time and wave number, thus enabling the necessary recurrence scheme to be developed. The random response is finally determined by implementing PEM. The proposed method is justified by comparison with results available in the literature and is then applied to a more complicated time-dependent coupled system.