In the previous paper, a class of nonlinear system is mapped to a so-called skeleton linear model (SLM) based on the joint time-frequency analysis method. Behavior of the nonlinear system may be indicated quantitatively by the variance of the coefficients of SLM versus its response. Using this model we propose an identification method for nonlinear systems based on nonstationary vibration data in this paper. The key technique in the identification procedure is a time-frequency filtering method by which solution of the SLM is extracted from the response data of the corresponding nonlinear system. Two time-frequency filtering methods are discussed here. One is based on the quadratic time-frequency distribution and its inverse transform, the other is based on the quadratic time-frequency distribution and the wavelet transform. Both numerical examples and an experimental application are given to illustrate the validity of the technique.
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April 2003
Technical Papers
Identification of Nonlinear Systems Through Time-frequency Filtering Technique
Lili Wang,
e-mail: wllxxx@yahoo.com.cn
Lili Wang
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences; Beijing, P.R. China
Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China
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Jinghui Zhang,
Jinghui Zhang
Civil College, Xi’an Jiaotong University, Xi’an, P.R. China
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Chao Wang,
Chao Wang
Civil College, Xi’an Jiaotong University, Xi’an, P.R. China
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Shiyue Hu
Shiyue Hu
Civil College, Xi’an Jiaotong University, Xi’an, P.R. China
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Lili Wang
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences; Beijing, P.R. China
Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China
e-mail: wllxxx@yahoo.com.cn
Jinghui Zhang
Civil College, Xi’an Jiaotong University, Xi’an, P.R. China
Chao Wang
Civil College, Xi’an Jiaotong University, Xi’an, P.R. China
Shiyue Hu
Civil College, Xi’an Jiaotong University, Xi’an, P.R. China
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Sept. 2000; Revised Sept. 2002. Associate Editor: A. Vakakis.
J. Vib. Acoust. Apr 2003, 125(2): 199-204 (6 pages)
Published Online: April 1, 2003
Article history
Received:
September 1, 2000
Revised:
September 1, 2002
Online:
April 1, 2003
Citation
Wang, L., Zhang , J., Wang , C., and Hu, S. (April 1, 2003). "Identification of Nonlinear Systems Through Time-frequency Filtering Technique ." ASME. J. Vib. Acoust. April 2003; 125(2): 199–204. https://doi.org/10.1115/1.1545769
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