Abstract
In this study, a 42-degree-of-freedom (42-DOF) translation–torsion coupling dynamic model of the wind turbine’s compound gear transmission system considering time-varying meshing friction, time-varying meshing stiffness, meshing damping, meshing error and backlash is proposed. Considering the different meshing between internal and external teeth of planetary gear, the time-varying meshing stiffness is calculated by using the cantilever beam theory. An improved meshing friction model takes into account the mixed elastohydrodynamic lubrication to calculate the time-varying meshing friction. The bifurcation diagram of the excitation frequency is utilized to analyze the bifurcation and chaos characteristics of the system. Meanwhile, the nonlinear dynamic characteristics of the gear system are identified by using the time domain diagrams, phase diagrams, Poincare maps and amplitude–frequency spectrums of the gear system. The results show that the system has complex bifurcation and chaotic behaviors including periodic, quasi-periodic, chaotic motion. The bifurcation characteristics of the system become complicated and the chaotic region increases considering the effects of friction in the high-frequency region.
Highlights
Compound gear transmission system is one of the most important transmission device in wind turbine
It can be seen from the above literatures that the research on the nonlinear dynamic characteristics of planetary gear transmission system mainly focuses on the dynamic response analysis of single-stage planetary gear transmission system
He et al.[8,9]proposed a new method to consider the sliding friction and time-varying meshing stiffness into the analysis model of spur gear, and studied the influence of its dynamic characteristics
Summary
Compound gear transmission system is one of the most important transmission device in wind turbine. During operation of compound planetary gear transmission system, friction is a strongly nonlinear internal excitation,which is positively correlated with the dynamic characteristics of compound gear transmission system He et al.[8,9]proposed a new method to consider the sliding friction and time-varying meshing stiffness into the analysis model of spur gear, and studied the influence of its dynamic characteristics. The motivation of this paper is to established multi-degree-of-freedom translation-torsion coupling dynamics planetary gear model to accurately describe the dynamic behavior of wind turbine’s compound gear transmission system. A 42-DOF translation-torsion coupling dynamics model of the wind turbine’s gear transmission system considering TVMF, TVMS, meshing damping, meshing error and backlash is established. The research can provide some useful information for the operation of wind turbine’s gear transmission system
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