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Coupled bending and torsional vibration of a rotor system with nonlinear friction

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Abstract

Unacceptable vibrations induced by the nonlinear friction in a rotor system seriously affect the health and reliability of the rotating machinery. To find out the basic excitation mechanism and characteristics of the vibrations, a coupled bending and torsional nonlinear dynamic model of rotor system with nonlinear friction is presented. The dynamic friction characteristic is described with a Stribeck curve, which generates nonlinear friction related to relative velocity. The motion equations of unbalance rotor system are established by the Lagrangian approach. Through numerical calculation, the coupled vibration characteristics of a rotor system under nonlinear friction are well investigated. The influence of main system parameters on the behaviors of the system is discussed. The bifurcation diagrams, waterfall plots, the times series, orbit trails, phase plane portraits and Poincaré maps are obtained to analyze dynamic characteristics of the rotor system and the results reveal multiform complex nonlinear dynamic responses of rotor system under rubbing. These analysis results of the present paper can effectively provide a theoretical reference for structural design of rotor systems and be used to diagnose selfexcited vibration faults in this kind of rotor systems. The present research could contribute to further understanding on the self-excited vibration and the bending and torsional coupling vibration of the rotor systems with Stribeck friction model.

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Authors and Affiliations

  1. School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, 221116, China

    Chunli Hua, Guohua Cao & Zhencai Zhu

  2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, China

    Zhushi Rao & Na Ta

Authors
  1. Chunli Hua
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  2. Guohua Cao
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  3. Zhushi Rao
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  4. Na Ta
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  5. Zhencai Zhu
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Corresponding author

Correspondence to Chunli Hua.

Additional information

Recommended by Associate Editor Junhong Park

Chunli Hua received the Ph.D. in mechanical engineering from the Shanghai Jiao Tong University in 2014. He’s a Lecturer of School of Mechatronic Engineering, China University of Mining and Technology. His research interests include rotor dynamics, vibration analysis, nonlinear dynamics and structural mechanics.

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Hua, C., Cao, G., Rao, Z. et al. Coupled bending and torsional vibration of a rotor system with nonlinear friction. J Mech Sci Technol 31, 2679–2689 (2017). https://doi.org/10.1007/s12206-017-0511-8

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  • DOI: https://doi.org/10.1007/s12206-017-0511-8

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