行星齿轮传动误差的耦合补偿研究

Coupling Compensation of Transmission Error for Planetary Gear

通过几何学方法将行星齿轮偏心类误差转换为在啮合线上的当量啮合误差,再对各当量啮合误差分量在角频率分别为0、相同和不相同3种情况下的耦合传动误差进行计算和推导,论证了前两种情况均能实现最佳补偿效果,得出耦合误差能有效补偿时误差初相差的取值区间和最佳补偿效果时各误差初相的数值关系。在此基础上,提出一种提高系统传动精度的行星齿轮装配方法———误差初相调试装配法。最后通过实例计算调试装配、随机装配和提高加工精度等多种情况下行星齿轮的传动误差,对比分析结果证明这一方法是有效且经济的。

Eccentric error of planetary gear was transformed into equivalent mesh error on meshing line by geometry method.Then coupling error of every equivalent mesh error was calculated and deduced when angular frequency was 0,same and different.The best compensational effect was obtained with the first two cases.The value range of the difference among initial phase errors were concluded when the coupling error could be effectively compensated and the relationship of initial phase with the best compensation.Furthermore,assembling method by allocating initial phase error was proposed,which could improve transmission accuracy of planetary gear.The transmission errors of planetary gear were calculated with allocating assembly,random assembly and machining precision improvement,respectively.The comparison and analysis proved that the proposed method was effective and economical through.