Development on High Precision Measurement and Simulations of Gear Transmissions under Load

本研究旨在发展齿轮传动的高精度测量与估算方法。使用具有0.072角秒角度分辨率的两个旋转编码器，可以快速且同时地检测来自这些编码器(每个通道具有32位数据长度)产生的脉冲。带有编码器的测量仪安装在背靠背齿轮试验机上。说明新研制的单面齿轮检测系统具有足够的精度来评定齿轮在载荷作用下的传动误差。在几种准静态加载条件下，对具有不同齿面形状误差的磨削斜齿轮进行了有无对中误差的试验。在空载情况下，适量的凸度可以避免传动误差的突变。另一方面，在载荷作用下，似乎存在最佳的齿形修形。当进行加冠时，载荷增加越多，传输误差变化越大。这可能取决于修饰的起始位置和修饰量之间的关系。研究了接触点变化和负荷分担对传动特性的影响。在计算结果中，接触点根据齿廓修改和载荷从作用线移动。载荷越大，双齿接触周期越宽，单齿接触周期越窄。在实际重合度与理论重合度相符的载荷作用下，传动误差幅值可降至最小。当实际重合度大于理论重合度时，将出现齿-尖-刃接触周期。

This research aims at development of high precision measurement and estimation methods of gear transmissions.1. Using two rotary encoders that have angular resolutions of 0.072 arc-sec., generated pulses from those encoders (each channel has 32-bits data length) can be detected speedily and simultaneously. The measuring instrument with those encoders is attached to the back-to-back type gear testing machine. It is clarified that the newly developed single flank gear testing system has enough accuracy for estimation of gear transmission errors under load.2. Ground helical gears having various tooth flank configuration errors are tested with and without an alignment error under several quasi-static loading conditions. Under no load, a suitable amount of crowning can avoid sudden changes of transmission errors. On the other hand, under load, optimum tooth profile modification seems to exist. When crowning is made, the more loads increase, the larger the transmission error variations become. That probably depends on the relation between the starting position of modification and the amount of it.3. The influences of changes of contact points and the load sharing on the transmission characteristics are investigated. In the calculated results, contact points move from line of action according to tooth profile modifications and loads. The heavier the applied loads become, periods of double tooth contact become wider and those of single tooth contact become narrower. Amplitude of transmission errors can be reduced to a minimum at the load that the real contact ratio agrees with the theoretical contact ratio. When the real contact ratio is larger than the theoretical contact ratio, periods of tooth-tip-edge contact will occur.