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.
Identification of Nonlinear Systems Through Time-frequency Filtering Technique
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.
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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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