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Power spectral density analysis for nonlinear systems based on Volterra series

文献类型：期刊论文

作者Wu, Penghui2; Zhao, Yan2; Xu, Xianghong1; Xu XH(许向红)
刊名APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
出版日期2021-12-01
卷号42期号:12页码:1743-1758
关键词Volterra series nonlinear system generalized frequency response function (GFRF) power spectrum density (PSD) O324
ISSN号0253-4827
DOI10.1007/s10483-021-2794-7
通讯作者Zhao, Yan(yzhao@dlut.edu.cn)
英文摘要A consequence of nonlinearities is a multi-harmonic response via a mono-harmonic excitation. A similar phenomenon also exists in random vibration. The power spectral density (PSD) analysis of random vibration for nonlinear systems is studied in this paper. The analytical formulation of output PSD subject to the zero-mean Gaussian random load is deduced by using the Volterra series expansion and the conception of generalized frequency response function (GFRF). For a class of nonlinear systems, the growing exponential method is used to determine the first 3rd-order GFRFs. The proposed approach is used to achieve the nonlinear system's output PSD under a narrow-band stationary random input. The relationship between the peak of PSD and the parameters of the nonlinear system is discussed. By using the proposed method, the nonlinear characteristics of multi-band output via single-band input can be well predicted. The results reveal that changing nonlinear system parameters gives a one-of-a-kind change of the system's output PSD. This paper provides a method for the research of random vibration prediction and control in real-world nonlinear systems.
WOS关键词EQUIVALENT LINEARIZATION ; IDENTIFICATION
资助项目National Natural Science Foundation of China[11772084] ; National Natural Science Foundation of China[U1906233] ; National High Technology Research and Development Program of China[2017YFC0307203] ; Key Technology Research and Development Program of Shandong Province of China[2019JZZY010801]
WOS研究方向Mathematics ; Mechanics
语种英语
WOS记录号WOS:000721650000001
资助机构National Natural Science Foundation of China ; National High Technology Research and Development Program of China ; Key Technology Research and Development Program of Shandong Province of China
源URL[http://dspace.imech.ac.cn/handle/311007/88005]  
专题力学研究所_非线性力学国家重点实验室
通讯作者Zhao, Yan
作者单位1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
2.Dalian Univ Technol, Fac Vehicle Engn & Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Liaoning, Peoples R China
推荐引用方式
GB/T 7714		 Wu, Penghui,Zhao, Yan,Xu, Xianghong,et al. Power spectral density analysis for nonlinear systems based on Volterra series[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2021,42(12):1743-1758.
APA Wu, Penghui,Zhao, Yan,Xu, Xianghong,&许向红.(2021).Power spectral density analysis for nonlinear systems based on Volterra series.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,42(12),1743-1758.
MLA Wu, Penghui,et al."Power spectral density analysis for nonlinear systems based on Volterra series".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 42.12(2021):1743-1758.

入库方式： OAI收割

来源：力学研究所

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