振动与齿轮副基本动态特征间的关系

Relationships between vibration and basic dynamic characteristics of gear pair

在考虑齿轮系统振动运动的基础上,建立了齿轮副实际中心线和两基圆内公切线运动方程,分析论证了实际中心线和两基圆内公切线的运动特征及实际啮合线的形态。并指出,由于系统振动的原因,齿轮副的实际中心线和两基圆内公切线是随时间的延续以平面运动方式变化的,实际啮合点的轨迹是一条曲线;同时,系统振动还使啮合齿对提前或迟后进入啮合、提前或滞后退出啮合。

On the basis of considering the vibration motion of gear system, the motion equations of the actual center line of gear pair and the inner common tangent of two base circles were established. The motion characteristics of actual center line and inner common tangent of two base circles and the conformation of actual meshing line were analytically demonstrated. It has been pointed out that on account of the reason of systematic vibration ; the actual center line and the inner common tangent of two base circles are varying along with the continuation of time in the mode of planar movement. The track of actual meshing point is a curve ; and at the time, the systematic vibration causes the meshing gear pair comes into engagement ahead of time or lagging behind and withdraws from meshing ahead of schedule or delayed.