考虑齿向修形与安装误差的圆柱齿轮接触分析

摘要

A new kind of longitudinal modified equal radius arc crown gear tooth surface was proposed, according to the principle of longitudinal modification derived equal radius arc crown gear tooth surface equation, the tooth contact analysis (TCA) model of drum-shaped driving pinion and no modification driven gear with the alignment errors was built, and the TCA algorithm and examples were given. The numerical results of TCA show that error of the gear axis from the center of drum-shaped tooth has little effect on the contact path, while the amount of drum-shaped modification, the deviation errors drum-shaped center to the tooth width midpoint and the gear axis parallel error have a significant impact on contact path. The location of contact path can be accurately pre-controlled by adjusting the modification parameters and alignment errors, which will have a larger reference value to the design and manufacture of high-performance gear drives.%提出一种齿向修形的等半径圆弧鼓形齿面新结构,根据齿向修形原理推导出等半径圆弧鼓形齿面方程,构建含安装误差的主动轮鼓形齿与未修形从动轮渐开线齿的接触分析(TCA)模型,给出TCA算法和算例.TCA计算结果表明:齿轮轴线的中心距误差对这种鼓形齿传动的接触轨迹影响很小,鼓形修形量、鼓形中心与齿宽中点的偏差及齿轮轴线的平行度误差都将对齿轮接触轨迹产生较大影响:通过调整修形参数和安装误差可以精确的预控接触轨迹的位置,这对高性能齿轮传动设计制造有较大参考价值.