Investigation on nonlinear and fractional derivative Zener model of coupled vehicle-track system
The nonlinear and fractional derivative Zener model of viscoelastic material considering Berg’s friction force model is established, which can be used to describe the frequency-dependent and amplitude-dependent behaviour of rubber isolator. The simplified Berg’s friction force scheme was proposed to improve computational efficiency in the frequency domain. The frequency response of the single degree of freedom system modelled with the fractional derivative Zener model and the proposed simplified Berg’s friction force scheme was investigated, and it agrees well with the results calculated by discrete Fourier transform. In addition, the fractional derivative Zener model and the proposed simplified Berg’s friction force scheme are implemented to model the rail pads and the primary suspension rubber spring in a railway vehicle, and then the nonlinear and fractional derivative Zener model of the coupled vehicle-track system was established. The frequency response calculated by the proposed nonlinear and fractional derivative Zener model of coupled vehicle-track system was compared to the calculation using ordinary Kelvin–Voigt model, and the results have shown that there is little difference in the calculation results between the two models, but the vibration responses of bogies, wheelsets and rails are quite different in time domain and frequency domain. Furthermore, the comparison between the proposed model and the fractional derivative Kelvin–Voigt model were analysed. The difference between the two models is small in the frequency range from 1 to 200 Hz and in the whole time domain, but the difference is large in the high frequency region. The proposed nonlinear and fractional derivative Zener model of the coupled vehicle-track system has high efficiency and accuracy both in time domain and frequency domain.
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/00423114
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Supplemental Notes:
- © 2019 Informa UK Limited, trading as Taylor & Francis Group. Abstract reprinted with permission of Taylor & Francis.
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Authors:
- Yang, Fan
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0000-0002-6385-1860
- Wang, Ping
- Wei, Kai
- Wang, Feng
- Publication Date: 2020-6
Language
- English
Media Info
- Media Type: Web
- Features: References;
- Pagination: pp 864-889
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Serial:
- Vehicle System Dynamics
- Volume: 58
- Issue Number: 6
- Publisher: Taylor & Francis
- ISSN: 0042-3114
- EISSN: 1744-5159
- Serial URL: https://www.tandfonline.com/toc/nvsd20/current
Subject/Index Terms
- TRT Terms: Frequency domain analysis; Mathematical models; Mechanical vibration; Nonlinear systems; Railroad tracks; Railroad trains; Time domain analysis; Train track dynamics
- Subject Areas: Railroads; Vehicles and Equipment;
Filing Info
- Accession Number: 01742604
- Record Type: Publication
- Files: TRIS
- Created Date: Jun 18 2020 9:43AM