Nonlinear characteristics of a multi-degree-of-freedom wind turbine’s gear transmission system involving friction

Abstract

In this study, a 42-degree-of-freedom (42-DOF) translation-torsion coupling dynamics 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 mesh friction model takes account into the mixing of elastohydrodynamic lubrication (EHL) and boundary lubrication to calculate the time-varying mesh friction. The bifurcation diagram is used to analyze the bifurcation and chaos characteristics of the system under the excitation frequency as bifurcation parameter. Meanwhile, the dynamic characteristics of the gear system are identified from 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.

Nonlinear dynamic modeling and global instability analyses of planetary gear trains considering multi-state engagement and tooth-contact temperature effects

“…Li et al [14] established an integrated drivetrain coupling analysis model of wind turbine gearbox considering the effect of nontorque loads, and studied the gearbox vibration responses, gear meshing forces and bearing forces. Zhang et al [15] proposed a 42-degree-of-freedom translation-torsion coupling dynamic model of PGTs involving friction and backlash, and found the complex bifurcation and chaotic behaviors. Li et al [16] formulated a nonlinear time-varying dynamic model of a multistage PGTs with time-varying meshing stiffness and piece-wise backlash nonlinearities, and analyzed the influences of excitation frequency and backlash on bifurcation and chaos properties.…”

“…Fig 15. Schematic of the evolution mechanism of multi-stability response decreasing in ω under the synergistic effect of parameter-state space (Corresponding to Fig.14).…”

Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System With Multipiecewise Linear Functions

“…They concluded that gear eccentricity can regulate the amplitude and frequency of the response. Zhang et al [23] identified nonlinear dynamic characteristics of a wind turbine compound gear transmission system by using the fourth-order RK method. Their investigation discussed complex nonlinear behaviors of the system including periodic, quasi-periodic, and chaotic responses.…”