Dynamic modelling of the gear system under non-stationary conditions using the iterative convergence of the tooth mesh stiffness

Planetary gear transmission system is one of the primary parts of the wind turbine drive train. Due to the assembly state, lubrication conditions and wear, the mesh stiffness of the planetary gear system is an uncertain parameter. In this paper, taking the uncertainty of mesh stiffness into account, the dynamic responses of a wind turbine gear system subjected to wind loads and transmission error excitations are studied. Firstly, a lumped-parameter model is extended to include both the planetary and parallel gears. Then the fluctuation ranges of dynamic mesh forces are predicted quantitatively and intuitively based on the combined Chebyshev interval inclusion function and numerical integration method. Finally, examples of gear trains with different interval mesh stiffnesses are simulated and the results show that tooth separations are becoming more obvious at the resonant speed by considering the fluctuating mesh stiffness of the second parallel gear stage. The nonlinear tooth separations are degenerated obviously as the fluctuation error of the mesh stiffness of the second parallel gear set is increased.

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Dynamic modelling of flexibly supported gears using iterative convergence of tooth mesh stiffness

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2016.04.030 ◽

2016 ◽

Vol 80 ◽

pp. 460-481 ◽

Cited By ~ 10

Author(s):

Song Xue ◽

Ian Howard

Keyword(s):

Dynamic Modelling ◽

Mesh Stiffness

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Nonlinear Dynamics Analysis of Gear System Considering Unbalance and Loosening Faults

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.875-877.1976 ◽

2014 ◽

Vol 875-877 ◽

pp. 1976-1981 ◽

Cited By ~ 1

Author(s):

Li Cui ◽

Da Fang Shi ◽

Jian Rong Zheng ◽

Xiao Guang Song

Keyword(s):

Nonlinear Dynamic ◽

Gear System ◽

Dynamic Equations ◽

Radial Clearance ◽

Nonlinear Dynamic Model ◽

Mesh Stiffness ◽

Diverse Range ◽

Runge Kutta Method ◽

Nonlinear Dynamic Equations ◽

Chaos Motion

Considering backlash, radial clearance of bearing and time-varying mesh stiffness, nonlinear dynamic model of gear bearing rotor system is established considering unbalance and loosening fault. Nonlinear dynamic equations are solved using Runge-Kutta method and Newton-Raphson method. Numerical simulations of the dynamic equations and the affection of the depth of crack and length of wear to the nonlinear dynamic behavior are studied. The results shows that tooth off, bilateral impact phenomenon are occurred, with increasing gear failure when unbalance occurs, and the gear system exhibits a diverse range of periodic, quasi-periodic and chaotic motion. When loosening fault occurs, the range of chaos motion is increased, and gear burnishing is also intensified.

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Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation, bearing flexibility and backlash

Mechanism and Machine Theory ◽

10.1016/j.mechmachtheory.2008.05.008 ◽

2009 ◽

Vol 44 (5) ◽

pp. 1058-1069 ◽

Cited By ~ 104

Author(s):

Lassâad Walha ◽

Tahar Fakhfakh ◽

Mohamed Haddar

Keyword(s):

Nonlinear Dynamics ◽

Gear System ◽

Mesh Stiffness ◽

Two Stage

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Dynamic response of a single-mesh gear system with periodic mesh stiffness and backlash nonlinearity under uncertainty

Nonlinear Dynamics ◽

10.1007/s11071-017-3435-z ◽

2017 ◽

Vol 89 (1) ◽

pp. 49-60 ◽

Cited By ~ 8

Author(s):

S. Wei ◽

Q. K. Han ◽

X. J. Dong ◽

Z. K. Peng ◽

F. L. Chu

Keyword(s):

Dynamic Response ◽

Gear System ◽

Mesh Stiffness ◽

Backlash Nonlinearity

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Dynamics Modeling and Resonance Analysis of Anti-Backlash Gear Transmission System Based on Harmonic Balance Method

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.711.556 ◽

2013 ◽

Vol 711 ◽

pp. 556-561 ◽

Cited By ~ 2

Author(s):

Yang Zheng ◽

Zi Rong Luo ◽

Jian Zhong Shang ◽

Xiao Ming Wang ◽

Nai Hui Yu

Keyword(s):

Resonance Frequency ◽

Harmonic Balance Method ◽

Transmission Error ◽

Gear System ◽

Equivalent Model ◽

Computation Method ◽

Dynamics Modeling ◽

Mesh Stiffness ◽

Resonance Analysis ◽

Gear Transmission System

Anti-backlash gear system is applied widely in precision mechanisms, and it is important to research its dynamic characteristics for improving the dynamic accuracy of system. The nonlinear dynamics equivalent model of an anti-backlash gear system in a servomechanism with time-varying mesh stiffness and gear side clearance is proposed. The dynamic transmission error of system is calculated by HBM and numerical computation method (NCM). Based on this, the effect of different parameters on resonance frequency of system is analyzed deeply. The results show that the resonance frequency is higher, when the mesh stiffness is increasing; proper preload force and gear side clearance can make the amplitude of resonance peak lower, which is useful to void more damages to mechanism when resonance comes up.

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