中文摘要：

以齿轮系统为例，对系统参数随机扰动下非线性系统动态性能进行了分析。建立了参数随机激励下的非线性动力学模型，利用蒙特卡洛法对其进行分析，探讨了激励频率、阻尼比、齿侧间隙等参数的随机扰动对系统动态特性的影响，为更好地控制系统振动提供了理论支持，也为其他随机非线性动力系统建模分析提供了借鉴。

英文摘要：

The influence of stochastic perturbation of system parameters on nonlinear dynamic system was discussed. In which,gearing system was taken as an example,stochastic nonlinear dynamics model was presented and analyzed by Monte--Carlo method. The influence of stochastic perturbation of those parameters, excitation frequency, damping ratio, and backlash, on the dynamics performance of gearing system were discussed, which provides theoretical basis for effective vibration control of gearing system.