Nonlinear dynamic response analysis on gear-rotor-bearing transmission system

A coupled lateral-torsional nonlinear dynamic model with 16-degree-of-freedom (16-DOF) of gear-rotor-bearing transmission system (GRBTS) is developed after comprehensive considering the nonlinear features associated with time-varying meshing stiffness, backlash, transmission error, friction force, i...

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Bibliographic Details
Published in:Journal of vibration and control 2018-05, Vol.24 (9), p.1632-1651
Main Authors: Zhou, Shihua, Song, Guiqiu, Sun, Mengnan, Ren, Zhaohui
Format: Article
Language:English
Subjects:
Coefficient of friction
Degrees of freedom
Differential equations
Differential gears
Dynamic characteristics
Dynamic models
Dynamic response
Excitation
Friction
Meshing
Nonlinear analysis
Nonlinear control
Nonlinear differential equations
Nonlinear equations
Nonlinear response
Numerical analysis
Runge-Kutta method
Stiffness
Torsion
Torsional vibration
Transmission error
Vibration
Vibration control
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Summary:A coupled lateral-torsional nonlinear dynamic model with 16-degree-of-freedom (16-DOF) of gear-rotor-bearing transmission system (GRBTS) is developed after comprehensive considering the nonlinear features associated with time-varying meshing stiffness, backlash, transmission error, friction force, input/output load, gravity and gear eccentricity. Based on the nonlinear differential equations, the coupled multi-body dynamic responses of the GRBTS are demonstrated using the Runge-Kutta numerical method, and the effects of friction coefficient and mean load on the dynamic characteristics are investigated. The results show that the friction force could enlarge the vibration amplitude and affect the low frequency components seriously. The mean load excitation has a complicated influence on the coupled GRBTS, and the torsional vibration is the dominate response. Whereas the mean load excitation has a certain extent vibration suppression, and light load and heavy load could no longer effectively control the nonlinear vibration of the GRBTS. With the increasing of rotational speed, the friction coefficient and mean load ranges of the chaotic behavior widen and the chaotic characteristics strengthens. It is shown that small parameter random perturbation might be propagated in the vibration system and lead to relatively large vibration of the system. The contribution to provide a reference for the design and study of gear system.
ISSN:1077-5463
1741-2986
DOI:10.1177/1077546316667178