采用弹塑性接触有限元法求解了不同包容齿数下的齿间载荷分配系数,基于啮合原理计算了接触点的诱导法曲率半径并进行了回归分析,建立了单齿接触线长度和总接触线长度的简化计算模型。基于Hertz模型,推导出适用于平面二次包络环面蜗杆传动的承载最大齿对的接触应力计算公式和平均接触应力计算公式。建立了蜗杆副的有限元模型,分析了不同载荷作用下的齿间载荷分配及齿向应力分布规律。最后,通过实例对比了用于平面二包蜗轮副齿面接触应力分析的解析法及数值法。结果表明:解析法与数值法计算结果接近,前者计算值高于后者约10%~25%。 The elastic-plastic contact finite element method was used to solve the inter-tooth load distribution coefficient under different tolerances. The radius of curvature of the induction method was calculated based on the meshing principle and the regression analysis was carried out. The contact length and contact length Simplified calculation model. Based on the Hertz model, the contact stress calculation formula and the average contact stress formula for the maximum load bearing pair of plane double enveloping worm gearing are deduced. The finite element model of the worm pair was established, and the distribution of load distribution and tooth stress distribution under different loads were analyzed. Finally, the analytic method and numerical method for the contact stress analysis of plane two pack worm gear pairs are compared by examples. The results show that the analytical results are close to the numerical ones, and the former is higher than the latter by about 10% ~ 25%.