考虑齿面摩擦的斜齿轮副时变啮合刚度计算方法

Calculation method of time-varying meshing stiffness of helical gear pair based on tooth surface friction

斜齿轮由于具有传动平稳等众多优点,在高速重载场合广泛应用。斜齿轮副在啮合时,不可避免地受到摩擦力影响。因此在计算斜齿轮副的时变啮合刚度时,有必要将齿面摩擦计入其中。先通过切片法将斜齿轮切成直齿轮微元薄片,再根据能量法计算微元薄片的啮合刚度,最后沿齿宽方向进行积分累加,获取斜齿轮副精准时变啮合刚度。研究斜齿轮副时变啮合刚度在零摩擦、定摩擦和时变摩擦作用下的变化规律,揭示时变摩擦作用下齿面粗糙度、转矩、转速、齿宽等参数对斜齿轮副时变啮合刚度的作用机理。研究结果表明:在摩擦力的作用下,斜齿轮副时变啮合刚度会发生变化;定摩擦作用下,斜齿轮副的时变啮合刚度会减小,且定摩擦因数越大,时变啮合刚度越小;时变摩擦作用下,斜齿轮副的时变啮合刚度会随齿面粗糙度增大而减小,分别随输入转矩、转速和齿宽的增大而增大。

Helical gears are widely used in high-speed and heavy-duty situations due to their smooth transmission and many other advantages.When helical gear pair meshing,it is inevitablely affected by friction,so it is necessary to take tooth surface friction into account when calculating the time-varying meshing stiffness(TVMS)of helical gear pair.Firstly,the helical gear is cut into micro-element slices of spur gear by the slicing method,and then the meshing stiffness of micro-element slices is calculated by the energy method.Finally,the accurate TVMS of helical gear pair is obtained by integral accumulation along the tooth width direction.The change rule of TVMS of helical gear pair under zero friction,constant friction,and time-varying friction is studied.The action mechanism of tooth surface roughness,torque,speed,tooth width,and other parameters on TVMS of helical gear pair under time-varying friction are revealed.The results show that the TVMS of helical gear pair will change under the action of friction;Under constant friction,the TVMS of helical gear pair will decrease,and the greater the constant friction coefficient,the smaller TVMS;Under the action of time-varying friction,the TVMS of helical gear pair will decrease with the increase of tooth surface roughness,increase with the increase of input torque,speed,and tooth width,respectively.