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Nonlinear dynamic analysis of coupled gear-rotor-bearing system with the effect of internal and external excitations
Chinese Journal of Mechanical Engineering volume 29, pages 281–292 (2016)
Abstract
Extensive studies on nonlinear dynamics of gear systems with internal excitation or external excitation respectively have been carried out. However, the nonlinear characteristics of gear systems under combined internal and external excitations are scarcely investigated. An eight-degree-of-freedom(8-DOF) nonlinear spur gear-rotor-bearing model, which contains backlash, transmission error, eccentricity, gravity and input/output torque, is established, and the coupled lateral-torsional vibration characteristics are studied. Based on the equations of motion, the coupled spur gear-rotor-bearing system(SGRBS) is investigated using the Runge-Kutta numerical method, and the effects of rotational speed, error fluctuation and load fluctuation on the dynamic responses are explored. The results show that a diverse range of nonlinear dynamic characteristics such as periodic motion, quasi-periodic motion, chaotic behaviors and impacts exhibited in the system are strongly attributed to the interaction between internal and external excitations. Significantly, the changing rotational speed could effectively control the vibration of the system. Vibration level increases with the increasing error fluctuation. Whereas the load fluctuation has an influence on the nonlinear dynamic characteristics and the increasing excitation force amplitude makes the vibration amplitude increase, the chaotic motion may be restricted. The proposed model and numerical results can be used for diagnosis of faults and vibration control of practical SGRBS.
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Supported by National Natural Science Foundation of China(Grant No. 51475084)
Biographical notes
ZHOU Shihua, born in 1987, is a PhD candidate at School of Mechanical Engineering and Automation, Northeastern University, China. His research interest is the dynamic characteristics of gear-rotor system and vehicle dynamics.
SONG Guiqiu, born in 1960, is currently a professor at Northeastern University, China. He received his PhD degree from Northeastern University, China. His research interests include vehicle dynamics, fault diagnosis and machinery engineering theories.
REN Zhaohui, born in 1968, is currently a professor at Northeastern University, China. He received his PhD degree from Northeastern University, China, in 2005. His research interests include rotor dynamics, fault diagnosis and product integrated design method
WEN Bangchun, born in 1930, is currently a professor at School of Mechanical Engineering and Automation, Northeastern University, China. His main research interests include vibration utilization engineering, rotor dynamics, nonlinear vibration and applications of mechanical engineering, vibration diagnostics of the machine fault, mechanical-electronic integration and the machinery engineering theories.
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Zhou, S., Song, G., Ren, Z. et al. Nonlinear dynamic analysis of coupled gear-rotor-bearing system with the effect of internal and external excitations. Chin. J. Mech. Eng. 29, 281–292 (2016). https://doi.org/10.3901/CJME.2015.1019.124
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DOI: https://doi.org/10.3901/CJME.2015.1019.124