Time-Frequency Analysis of Nonlinear Systems: The Skeleton Linear Model and the Skeleton Curves

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	Time-Frequency Analysis of Nonlinear Systems: The Skeleton Linear Model and the Skeleton Curves
	Wang LL(王丽丽); Zhang JH(张景绘); Wang C(王超); Hu SY
刊名	Journal of Vibration and Acoustics
	2003
卷号	125 期号:2 页码:170-177
ISSN号	1048-9002
通讯作者	Wang, LL (reprint author), Chinese Acad Sci, State Key Lab Nonlinear Mech, Beijing, Peoples R China.
中文摘要	The joint time-frequency analysis method is adopted to study the nonlinear behavior varying with the instantaneous response for a class of S.D.O.F nonlinear system. A time-frequency masking operator, together with the conception of effective time-frequency region of the asymptotic signal are defined here. Based on these mathematical foundations, a so-called skeleton linear model (SLM) is constructed which has similar nonlinear characteristics with the nonlinear system. Two skeleton curves are deduced which can indicate the stiffness and damping in the nonlinear system. The relationship between the SLM and the nonlinear system, both parameters and solutions, is clarified. Based on this work a new identification technique of nonlinear systems using the nonstationary vibration data will be proposed through time-frequency filtering technique and wavelet transform in the following paper.
学科主题	力学
类目[WOS]	Acoustics ; Engineering, Mechanical ; Mechanics
研究领域[WOS]	Acoustics ; Engineering ; Mechanics
关键词[WOS]	HILBERT TRANSFORM ; VIBRATION
收录类别	SCI
语种	英语
WOS记录号	WOS:000182212500006
公开日期	2007-06-15 ; 2007-12-05 ; 2009-06-23
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/17201]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Wang LL,Zhang JH,Wang C,et al. Time-Frequency Analysis of Nonlinear Systems: The Skeleton Linear Model and the Skeleton Curves[J]. Journal of Vibration and Acoustics,2003,125(2):170-177.
APA	王丽丽,张景绘,王超,&Hu SY.(2003).Time-Frequency Analysis of Nonlinear Systems: The Skeleton Linear Model and the Skeleton Curves.Journal of Vibration and Acoustics,125(2),170-177.
MLA	王丽丽,et al."Time-Frequency Analysis of Nonlinear Systems: The Skeleton Linear Model and the Skeleton Curves".Journal of Vibration and Acoustics 125.2(2003):170-177.