针对大重合度斜齿轮的对数修形,建立了面向加工制造的斜齿轮对数修形齿面坐标方程。在接触力学模型基础上,编写了计算修形前后任意啮合位置的接触应力及表层Mises应力场的通用程序,并基于Ioannides与Harris疲劳寿命计算模型,分析修形前后斜齿轮的相对疲劳寿命。结果表明,对数修形能有效消除斜齿轮接触区端部的边缘应力集中,并显著提高斜齿轮的接触疲劳寿命;同一条接触线上接触应力越大的部位对数修形量也越大,从而保证了接触应力均布的修形效果。
For the manufacturing of crowned gears,the surface coordinate equation of logarithmic crowned helical gears with high contact ratio was established. Based on the contact mechanics model,programs were developed in Matlab to compute the contact stress and the Mises stress field inside subsurface layer at any engaging position. The relative fatigue life of modified gears was also evaluated on the basis of the fatigue life model of Ioannides and Harris. The results show that the logarithmic modification can eliminate the edge effect of tooth surfaces and prolong the fatigue life of the helical gears; on a certain contact line of helical tooth surface,the position with higher contact stress has larger amount of logarithmic modification,which ensures uniform distribution of contact stress on the whole tooth flank after modification.