A stochastic uncertain tribodynamic model is established for a spur gear pair for the first time. The stochastic uncertainty of pinion rotation speed propagated to lubrication performance is investigated. The probability density function of the minimum lubricant film thickness h_min evolves over time periodically at interval of an engagement process. Correspondence between abrupt increase in meshing force and amplification of h_min uncertainty is found. Robust and reliable lubrication performance can be achieved by suppressing the h_min uncertainty and decreasing the lubrication failure probability. This can be done by increasing lubricant viscosity, and decreasing input torque and uncertainty level of input rotation speed. This work lays a solid foundation for robust and reliability based optimization for tribodynamic gear system.

首次建立了正齿轮副的随机不确定摩擦动力学模型。研究了小齿轮转速的随机不确定性传播到润滑性能的情况。最小润滑剂膜厚度h _min的概率密度函数以接合过程的间隔随时间周期性地变化。发现啮合力的突然增加与h _{min不确定性的放大之间存在对应关系。通过抑制}h _min不确定性并降低润滑失效概率，可以实现稳健可靠的润滑性能。这可以通过增加润滑剂粘度、降低输入扭矩和输入转速的不确定性水平来实现。这项工作为摩擦动力齿轮系统的鲁棒性和可靠性优化奠定了坚实的基础。