A Novel Approach for Evaluating Nonstationary Response of Dynamic Systems to Stochastic Excitation

作     者：CAO Qianying HU Sau-Lon James LI Hewenxuan CAO Qianying;HU Sau-Lon James;LI Hewenxuan

作者机构：College of EngineeringOcean University of ChinaQingdao 266100China Department of Ocean EngineeringUniversity of Rhode IslandNarragansettRI 02882USA College of EngineeringUniversity of Rhode IslandKingstonRI 02881USA 

出 版 物：《Journal of Ocean University of China》 (中国海洋大学学报（英文版）)

年 卷 期：2020年第19卷第4期

页      面：781-789页

核心收录：

学科分类：081505[工学-港口、海岸及近海工程] 08[工学] 0815[工学-水利工程] 0824[工学-船舶与海洋工程] 0814[工学-土木工程] 082401[工学-船舶与海洋结构物设计制造] 

基　　金：the National Natural Science Foundation of China(No.51879250) The first author was supported by the China Scholarship Council while conducting her research in the United States 

主　　题：linear systems transient state nonstationary response pole residue 

摘      要：The transient state of a dynamic system,such as offshore structures,to random excitation is always *** studies have contributed to evaluating response covariances at the transient state of a linear multi-degree-of-freedom(MDOF)system to random excitations,but a closed-form solution was not available unless the excitation was assumed to be a physically unrealizable white noise *** study derives explicit,closed-form solutions for the response covariances at the transient state by using a pole-residue(PR)approach operated in the Laplace domain when the excitations are assumed to be stationary random processes described by physically realizable spectral density *** using the PR method,we can analytically solve the triple integral in evaluating the nonstationary response *** this approach uses the poles and residues of system transfer functions,rather than the conventional mode superposition technique,the method is applicable to MDOF systems with non-classical damping *** application of the proposed method is demonstrated for multi-story shear buildings to stochastic ground acceleration characterized by the Kanai–Tajimi spectral density function model,and a numerical example is provided to illustrate the detailed *** numerical integrations are required for computing the response covariances as the exact closed-form solution has been *** correctness of the proposed method is numerically verified by Monte Carlo simulations.