中文摘要：

为研究摩擦对齿轮系统非线性振动的响应和稳定性的影响机理,建立考虑轮齿时变刚度和齿间摩擦的扭转非线性振动模型,用理论解析和数值计算结合的方法,研究周期双参变激励齿轮系统,在摩擦力作用下非线性振动响应和系统参数稳定性问题。研究了摩擦系数、啮合刚度因子及齿间载荷分配系数等参数,对齿轮系统非线性振动响应和参数稳定性的影响。仿真结果证明：合理设计齿轮系统的动力学参数,可有效抑制由摩擦引起的响应峰值和减小系统参数的不稳定性区域。

英文摘要：

To eluicdatie the mechanism effect of friction on the nonlinear vibration and stability of gear system,a nonlinear vibration of torsional model with time-varying stiffness and friction was established,numerical method and analytical expression were given to solve the problem,study the non-linear response and parametric stability of gear system with double periodic parametrically.Effects of the system parameters,such as friction coefficient,mesh stiffneee factor and load sharing coefficient,on the nonlinear vibration response and parametric stability of gear system were investigated.Simulation results demonstrated that rational dynamics parameters can efficiently control the response peak of friction and reduce instability domain.