基于人字齿轮啮合特性的滑动摩擦功率损失

Power losses of sliding friction based on meshing characteristics of double helical gears

以空间多重共轭啮合理论为基础,利用人字齿轮副轮齿接触特性与承载接触特性,提出一种计算人字齿轮滑动摩擦功率损失的方法。首先,利用人字齿轮副轮齿接触分析(TCA),获得人字齿轮齿面接触路径和印痕。然后,利用人字齿轮副承载接触分析(LTCA),计算得到啮合齿面瞬时椭圆长轴(接触点)上离散点的法向载荷和瞬时接触点的传动误差,把所得到的离散点载荷和传动误差分别转换成齿面瞬时接触点的法向载荷和相对滑动速度,二者与摩擦因数相乘得到人字齿轮瞬时接触点的滑动摩擦功率损失。最后,对人字齿轮齿面所有瞬时接触点的滑动摩擦功率损失进行拟合并积分,最终获得1对人字齿轮轮齿从啮入到啮出的滑动摩擦功损。

A new method was proposed to calculate the sliding friction power losses in double helical gears by considering the geometry and load contact characteristics of double helical gears based on three-dimensional high contact ratio conjugate meshing theory.Firstly,the paths of contact points on tooth surface were obtained from tooth contact analysis（TCA） of double helical gears.Secondly,the normal force of discretized points on the major axis of instantaneous contact ellipse and the loaded transmission errors of instantaneous contact points were calculated from loaded tooth contact analysis（LTCA） of double helical gears.Then,the normal force of discretized points and the loaded transmission errors were transformed into the normal force and relative sliding speed of instantaneous contact points,respectively.Multiplying these two with the friction coefficient causes the sliding friction power losses of instantaneous contact points.Finally,the sliding friction power loss from gear-in to gear-out is obtained by fitting and integrating the power losses of instantaneous contact points.