Chinese Journal of Theoretical and Applied Mechani ›› 2013, Vol. 45 ›› Issue (6): 992-996.DOI: 10.6052/0459-1879-13-125

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IDENTIFICATION OF NONLINEAR VIBRATION SYSTEMS BASED ON PARAMETRIC TFA

Deng Yang, Peng Zhike, Yang Yang, Zhang Wenming, Meng Guang   

  1. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2013-07-05 Revised:2013-09-10 Online:2013-11-23 Published:2013-11-25
  • Supported by:

    The project was supported by the National Outstanding Youth Science Fund Project (11125209) and the National Natural Science Foundation of China (51121063, 11311130116, 11322215).

Abstract:

In this paper, we used the technique of the polynomial chirplet transform (PCT) to extract the instantaneous characteristics of the output response of the nonlinear system. Combined with estimation methods of instantaneous parameters in the PREEVIB and FROCEVIB methods, we acquired the back-bone curve and damping curve which reflects nonlinearities of the system. Then based on fitting of the identified average nonlinear characteristic forces, the specific parameters can be obtained. Numerical simulations results validate the effectiveness of this method, and it has advantages on high accuracy and good tolerance to noise.

Key words:

nonlinear system identification|polynomial chirplet transform|nonlinear vibration system|symmetric nonlinearity|non-stationary signal

CLC Number: