Parametric characteristic of the random vibration response of nonlinear systems

作     者：Xing-Jian Dong Zhi-Ke Peng Wen-Ming Zhang Guang Meng Fu-Lei Chu 

作者机构：State Key Laboratory of Mechanical System and VibrationShanghai Jiao Tong University Department of Precision InstrumentsTsinghua University 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2013年第29卷第2期

页      面：267-283页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Science Fund for Distinguished Young Scholars (11125209) the National Natural Science Foundation of China (10902068,51121063 and 10702039) the Shanghai Pujiang Program (10PJ1406000) the Opening Project of State Key Laboratory of Mechanical System and Vibration (MSV201103) 

主　　题：Volterra series·Nonlinear system·Random vibration·Power spectrum density·Generalized frequency response functions 

摘      要：Volterra series is a powerful mathematical tool for nonlinear system analysis,and there is a wide range of nonlinear engineering systems and structures that can be represented by a Volterra series *** the present study,the random vibration of nonlinear systems is investigated using Volterra *** expressions were derived for the calculation of the output power spectral density（PSD） and input-output cross-PSD for nonlinear systems subjected to Gaussian *** on these expressions,it was revealed that both the output PSD and the input-output crossPSD can be expressed as polynomial functions of the nonlinear characteristic parameters or the input *** studies were carried out to verify the theoretical analysis result and to demonstrate the effectiveness of the derived *** results reached in this study are of significance to the analysis and design of the nonlinear engineering systems and structures which can be represented by a Volterra series model.