圆柱正弦活齿传动接触问题研究

Study on problems about contact of cylinder sine oscillating tooth transmission

为了研究圆柱正弦活齿传动机构零部件之间的接触特性,在弹性小变形和变形协调假设的基础上建立了理论状态接触力计算模型,根据啮合副几何关系求出接触点处主曲率公式,依据弹性接触理论推导出圆柱正弦活齿传动接触尺寸和接触应力计算公式。通过实例分析,获得了圆柱正弦活齿传动机构的接触面积、接触应力变化规律。分析结果表明:在壳体正弦滚道波峰和波谷位置,各啮合副最大接触应力值为零;在壳体正弦滚道拐点位置,各啮合副接触应力值最大;活齿架的最大接触应力比主动轴和壳体大,因此,活齿架更加容易发生疲劳损坏。

In order to study the contact characteristics among the parts of the cylinder sine oscillating tooth transmission mechanism,the calculation model of the contact stress under theoretical conditions were established on the basis of the hypothesis of stretch small distortion and distortion congruity.According to geometric relation of the meshing pair,the calculation formulas of the principal curvature of the contact point were deduced,and the calculation formulas of the contact dimension and the contact stress of the cylinder sine oscillating tooth transmission were derived by elastic contact theory.After that,the variation laws of the contact area and the contact stress were obtained through the case analysis.The analysis results showed:the maximum contact stress value of each meshing pair was zero at the peak and the valley of the sinusoidal raceway of the shell,and the contact stress of each meshing pair was the largest at the turning point of the sinusoidal raceway of the shell.The maximum contact stress of the oscillating tooth carrier was larger than that of the driving shaft and the shell,so the oscillating tooth carrier was more prone to fatigue failure.