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

[+] Author and Article Information
Lili Wang

State Key Laboratory of Nonlinear Mechanics (LNM), Chinese Academy of Sciences, and Institute of Applied Physics and Computational Mathematics, Beijing, P.R. China

Jinghui Zhang, Chao Wang, Shiyue Hu

Civil College, Xi’an Jiaotong University, Xi’an, P.R. China

J. Vib. Acoust 125(2), 170-177 (Apr 01, 2003) (8 pages) doi:10.1115/1.1545768 History: Received September 01, 2000; Revised September 01, 2002; Online April 01, 2003
Copyright © 2003 by ASME
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Grayscale view of the modulus of quadratic time-frequency distribution of x(t)
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The Fourier spectrum of x(t)
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The quadratic time-frequency distribution
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The elastic force versus displacement
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The frequency skeleton curve
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Damping skeleton curve of a system with square damping
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The quadratic time-frequency distribution of y(t) (a) α=200 (b) α=0 (c) α=−200
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Damping versus velocity in a system with square damping




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