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论文类型： 期刊论文

发表时间： 2011-11-01

发表刊物： JOURNAL OF VIBRATION AND CONTROL

收录刊物： Scopus、SCIE、EI

卷号： 17

期号： 13

页面范围： 2015-2022

ISSN号： 1077-5463

关键字： Dynamic stiffness matrix; non-stationary random; precise integral method; pseudo-excitation

摘要： An efficient method is presented to investigate the non-stationary random vibration response of structures. This method has the advantage of the accuracy of theoretical method in dealing with random loads and the versatility of the finite element method (FEM) in dealing with structures. In this paper, the Euler beam is adopted in the derivation of the governing equation. The uncoupled approach of the frequency-dependent system matrices is presented for solving the motion equation of forced vibration. The time-variance random dynamic response of the beam is analyzed by the precise integral method, meanwhile, the pseudo-excitation is applied to transform the non-stationary random excitation into deterministic pseudo one to simplify the solution of the dynamic equation. Solutions calculated by the FEM with different time step and theoretical analysis are also obtained for comparison. Numerical examples demonstrate the accuracy and high efficiency of the proposed method.