渐开线直齿轮的动力学与弹流润滑耦合

综合考虑时变啮合刚度和油膜刚度、表面粗糙度以及摩擦转矩等对动力学行为的影响，基于载荷分担理论和动力学理论建立了六自由度渐开线直齿轮摩擦动力学模型.采用解耦方法求解该摩擦动力学模型，即将摩擦动力学模型求解获得的动态轮齿作用力和表面速度用于润滑分析中，反过来润滑分析获得的摩擦因数和油膜刚度将用于动力学分析计算中.通过实例研究了摩擦学特性和动力学行为以及两者之间的耦合关系.研究表明:考虑耦合效应后齿轮综合刚度略有下降.滑动摩擦力对垂直于啮合线方向的动态响应的影响比较显著，摩擦力会加剧该方向的振动.动态载荷对油膜厚度、油膜承载比例、油膜温升和摩擦因数影响均较大，且动力学行为对油膜温升分布的影响取决于相对滑动速度的大小. 

Coupling of dynamics and elastohydrodynamic lubrication for spur gear

A six-degree-of-freedom tribo-dynamics model for spur gear pair was proposed based on the load sharing theory and dynamics theory. Time-varying mesh stiffness and film stiffness, surface roughness as well as the friction torque were considered for establishing the model. A decoupling method was used to solve the tribo-dynamics model. In the iterative loop, the tribo-dynamic model predicted the dynamic tooth forces and surface velocities and applied into the lubrication model. In return, the gear lubrication model provided the tribo-dynamic model with friction coefficient and film stiffness. An example of gear pair was analyzed using the proposed model and method to demonstrate the coupling relationship between tribological and dynamic behaviors. The results show that total gear stiffness decreases slightly with consideration of coupling effect.Sliding friction force has significant effect on dynamic response that''s perpendicular to action line.Dynamic load will affect oil film thickness, portion of load carried by film, film temperature rise and the friction coefficient greatly. Moreover, the effect of dynamic behavior on film temperature rise depends on the relative sliding velocity.