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Parametric Identification of Nonlinear Vibration Systems via Polynomial Chirplet Transform

Lookup NU author(s): Dr Wenxian YangORCiD



This is the authors' accepted manuscript of an article that has been published in its final definitive form by ASME, 2016.

For re-use rights please refer to the publisher's terms and conditions.


The dynamic response of a nonlinear system can be characterized by its instantaneous amplitude (IA) and instantaneous frequency (IF) features, which dependent on the physical properties of the system. Accordingly, the system properties can be inferred from the IA and IF features if they can be identified accurately. To fulfil such an idea, a nonlinear system parameter identification method is proposed in this paper with the aid of Polynomial Chirplet Transform (PCT), which has been proved a powerful tool for processing non-stationary signals. The procedure of the proposed system identification method is summarized as: firstly, the instantaneous characteristics, IA and IF, are extracted by using the PCT from the nonlinear responses of the system; secondly, calculate the instantaneous modal parameters and present them to backbone and damping curves, which characterize the inherent nonlinearities of the system; and finally, estimate the physical property parameters of the system through fitting the identified average nonlinear characteristic curves. The proposed nonlinear system identification method is experimentally validated in the paper. The experimental results have shown that the proposed method is superior to two existing Hilbert transform based methods, particularly on the robust performance against noise. In other words, the proposed method can work very well in system identification under any noise contamination condition, while the HT based methods can work only in the absence of noise.

Publication metadata

Author(s): Deng Y, Cheng CM, Yang Y, Peng ZK, Yang W, Zhang WM

Publication type: Article

Publication status: Published

Journal: ASME Journal of Vibration and Acoustics

Year: 2016

Volume: 138

Issue: 5

Print publication date: 01/10/2016

Online publication date: 23/06/2016

Acceptance date: 13/05/2016

ISSN (print): 1048-9002

ISSN (electronic): 1528-8927

Publisher: ASME


DOI: 10.1115/1.4033717


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Funder referenceFunder name
11125209Chinese Distinguished Young Scholars Project
11402144Chinese Natural Science Foundation
11472170Chinese Natural Science Foundation
51421092Chinese Natural Science Foundation