摘要: Aiming at solving the problem of parametric vibration of locomotive gear transmission system, the dynamic model of gear transmission system was established considering tooth surface friction.In the model, the time-varying mesh stiffness was obtained based on the potential energy method, fitted by using the technique of Fourier series, and solved by using the method of multiple scales to gain the boundary condition of parametric stable vibration.Finally, a case study was carried out for studying the influence of tooth surface friction on the parametric vibration stability.Analysis result indicates that when the resonance speed is about 119.02/j km·h-1 (j is harmonic term), the prametric vibration will happen under the condition that friction coefficint is 0.The greater the friction coefficient is, the bigger the resonance speed at corresponding harmonic term is.Meanwhile, there exist an unstable vibration region in the vicinity of resonance speed.Under the condition that the damping coefficient and the friction coefficient are 0, when the harmonic terms are 1, 2, 3, 4, respectively, the corresponding fluctuation ranges relative to resonance speeds are about 9.16, 1.46, 0.53, 0.55km·h-1, respectively, so the system is unstable.Under the condition that the damping coefficient is 0, when the friction coefficients are 0.1and 0.2, respectively, compared to the result that the friction coefficient is 0, the fluctuation ranges relative to resonance speeds increase by about4.88%, 9.54%, respectively, with the corresponding harmonic term in unstable vibration regions.But when the damping coefficient is 0.01and the system is unstable, with the increase of friction coefficient, the fluctuation range relative to resonance speeds does not necessarily increase.Furthermore, the larger the friction coefficient is, the smaller the damping coefficient required by the stability of system is.5tabs, 13figs, 30refs.更多>