渐开线齿轮加工过程中的大周期误差研究

基于齿轮误差理论,对渐开线齿轮大周期误差进行研究。大周期误差属于低频,主要包括滚齿加工中的几何偏心、运动偏心和它们的合成与补偿,以及在插齿加工中的插齿刀的偏心误差。研究表明,对于滚齿加工来说,几何偏心对左、右齿面产生的啮合线误差等于该齿面上的径向与切向之和;运动偏心对左右齿面产生了一个大小相等且方向相反的误差且误差曲线是正弦曲线;几何偏心而不是运动偏心对齿廓径向误差有影响;可以引入几何偏心去补偿运动偏心。

An Investigation on Long Periodic Errors in I.G. Processing

This article takes an investigation on the long periodic errors in involute gears based on the theory of gear errors.Long periodic error means low-frequency error,it covers geometric eccentricity,motion eccentricity during gear hobbing and their synthesis and compensation,as well as the cutter＇s eccentric error during gear shaping.The investigation has shown that ：In case of gear hobbing,the meshing line error at left and right tooth face generated by geometric eccentricity is equal to the sum of the radial and tangential errors at the tooth face;The motion eccentricity will generate equal and opposite errors at the left and right tooth faces and the error curve should be a sinusoid;It is the geometric eccentricity but not the motion eccentricity that imposes an effect on the radial error of tooth profile;Geometry eccentricity could be introduced to compensate the motion eccentricity.