The response of a nonlinear oscillator is characterized by its instantaneous amplitude (IA) and instantaneous frequency (IF) features, which can be significantly affected by the physical properties of the system. Accordingly, the system properties could be inferred from the IA and IF of its response if both instantaneous features can be identified accurately. To fulfill 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 nonstationary signals. First, the PCT is used to extract the instantaneous characteristics, i.e., IA and IF, from nonlinear system responses. Second, instantaneous modal parameters estimation was adopted to extract backbone and damping curves, which characterize the inherent nonlinearities of the system. Third, the physical property parameters of the system were estimated through fitting the identified average nonlinear characteristic curves. Finally, the proposed nonlinear identification method is experimentally validated through comparing with two Hilbert transform (HT) based methods.
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October 2016
Research-Article
Parametric Identification of Nonlinear Vibration Systems Via Polynomial Chirplet Transform
Y. Deng,
Y. Deng
State Key Laboratory of Mechanical
System and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
School of Mechanical Engineering
and Automation,
Beijing University of Aeronautics
and Astronautics,
Beijing 100191, China
System and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
School of Mechanical Engineering
and Automation,
Beijing University of Aeronautics
and Astronautics,
Beijing 100191, China
Search for other works by this author on:
C. M. Cheng,
C. M. Cheng
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Y. Yang,
Y. Yang
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Z. K. Peng,
Z. K. Peng
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: z.peng@sjtu.edu.cn
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: z.peng@sjtu.edu.cn
Search for other works by this author on:
W. X. Yang,
W. X. Yang
School of Marine Science and Technology,
Newcastle University,
Newcastle upon Tyne NE1 7RU, UK
Newcastle University,
Newcastle upon Tyne NE1 7RU, UK
Search for other works by this author on:
W. M. Zhang
W. M. Zhang
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
Search for other works by this author on:
Y. Deng
State Key Laboratory of Mechanical
System and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
School of Mechanical Engineering
and Automation,
Beijing University of Aeronautics
and Astronautics,
Beijing 100191, China
System and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China;
School of Mechanical Engineering
and Automation,
Beijing University of Aeronautics
and Astronautics,
Beijing 100191, China
C. M. Cheng
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
Y. Yang
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
Z. K. Peng
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: z.peng@sjtu.edu.cn
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: z.peng@sjtu.edu.cn
W. X. Yang
School of Marine Science and Technology,
Newcastle University,
Newcastle upon Tyne NE1 7RU, UK
Newcastle University,
Newcastle upon Tyne NE1 7RU, UK
W. M. Zhang
State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 6, 2015; final manuscript received May 12, 2016; published online June 23, 2016. Assoc. Editor: Walter Lacarbonara.
J. Vib. Acoust. Oct 2016, 138(5): 051014 (18 pages)
Published Online: June 23, 2016
Article history
Received:
July 6, 2015
Revised:
May 12, 2016
Citation
Deng, Y., Cheng, C. M., Yang, Y., Peng, Z. K., Yang, W. X., and Zhang, W. M. (June 23, 2016). "Parametric Identification of Nonlinear Vibration Systems Via Polynomial Chirplet Transform." ASME. J. Vib. Acoust. October 2016; 138(5): 051014. https://doi.org/10.1115/1.4033717
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