基于低耗齿轮的大速比行星齿轮传动固有特性及振动分析

摘要

设计并采用低耗齿轮提高了大速比行星齿轮传动的效率.运用集中参数法建立了采用低耗齿轮的大速比行星齿轮传动的多自由度纯扭转动力学模型,通过对特征值问题的求解得到系统的各阶固有频率与振型矢量,归纳了大速比行星齿轮传动的固有特性;通过研究系统的共振转速与固有频率的关系,验证了纯扭转模型的准确性.在此基础上研究了低耗齿轮对该传动系统动力学特性的影响,结果表明,当低耗齿轮副的重合度设计在一定的范围时,传动系统的效率较高且振动较小.%Low-loss gears are designed and applied in high-speed-ratio planetary gear transmission to improve its efficiency.Here,amulti-DOF pure torsional system dynamic model for a high-speed-ratio planetary gear transmission with low-loss gears was established using the lumped-parameter method.Natural frequencies and corresponding modal shape vectors of the system were gained by solving the system's eigen-problem,so the natural characteristics of the high-speedratio planetary gear transmission system were obtained.Through studying the relationship between the system' s resonance rotating speeds and natural frequencies,the correctness of the pure torsional dynamic model was verified.Finally,the effects of low-loss gearson the dynamic characteristics of this transmission system were analyzed.Results showed that when the overlap ratio of low-loss gear pairs is designed within a certain range,the transmission system has a higher efficiency and a smaller vibration.