高重合度螺旋锥齿轮的设计与仿真

On Reducing Amplitude of Transmission Errorof Hypoid or Spiral Bevel Gear

齿轮传动的重合度与传动误差是影响其动态性能和振动噪音的主要因素。本文提出了高重合度螺旋锥齿轮的设计思想和设计方法,结合局部综合的切齿参数设计、TCA(Tooth ContactAnalysis)技术和 LTCA(Loaded Tooth Contact Analysis)技术,构成了迭代设计和仿真软件,获得了重合度接近2．0或3．0的高重合度螺旋锥齿轮传动。计算机数值仿真证明,高重合度螺放锥齿轮(尤其是重合度接近3．0)传动在很宽的载荷范围内,都具有良好的动态性能。

Requirements on speed of and loading on hypoid or spiral bevel gear have been increasingly stringent. Reduction of vibration and noise, which have become increasingly serious, depends very much on a low amplitude of transmission error, which, in turn, depends on making the tooth contact ratio to be about 2. 0 or higher. Fig. 6 shows the flowchart of our iterative design method, which includes three well known techniques: local synthesis, tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA). We give the numerical simulation results of a number of numerical examples. Fig. 2 shows that for loads of 50 Nm and 250 Nm respectively, our iterative design method can make the tooth contact path inclined at any angle with root cone. Fig. 2 (a) corresponds to an angle of 90?or tooth contact path perpendicular to root cone. Up to now in P. R. China designers have followed strictly the traditional requirement that tooth contact path be perpendicular to root cone. Fig. 5 shows that traditional requirement leads to large amplitude of transmission error and it decreases with decreasing angle of inclination. Fig. 5(b) corresponds to about 40?and Fig. 5(c) corresponds to about 10? Fig. 5(b) corresponds to a high tooth contact ratio of about 2. 0 and Fig. 5(c) corresponds to a high tooth contact ratio of about 3. 0 due to different extensions of tooth contact paths. Thus, we can draw the preliminary conclusion that our design method does reduce the amplitude of transmission error of hypoid or spiral bevel gear.