A theoretical logarithm profile equation was resolved iteratively using compound trapezoidal integration through assuming pressure distribution along contact width direction was obedient to half-ellipse distribution, setting the ratio of contact length and width of ideal line contact condition as initial value ,and combining the method of influence coefficient. The accuracy of numerical results was qualified by comparing the numerical results when setting a/b=∞ with Lundberg logarithm profile results. It concludes by analyzing three profiles and relative pressure distribution and contact region that the difference between Lundberg logarithm profile and numerical result profile is gradually increased from the middle to end. With the ratio of contact length and width decreasing, the difference between Lundberg logarithm profile and numerical result profile is increased, the uneven phenomenon near the end of contact region is apparent little by little, and the end of contact region of Lundberg logarithm profile are gradually out of contact; the numerical result profile can improve the pressure distribution and get continuous curve. By comparison ,the magnitude of modification of engineering logarithm profile is too large, the effect length of roller decreases.

利用复合梯形积分法,假设接触区域宽度方向上压力服从半椭圆分布,以理想线接触条件下的接触区域长宽比作为初值,结合求解滚子与滚道接触问题的影响系数法,迭代求解了理论对数凸型方程。通过将接触区域长宽比设为无穷大时的数值解轮廓与Lundberg对数凸型轮廓及两轮廓下接触压力分布情况作对比,验证了数值解的准确性。分析了不同接触区域长宽比条件下,数值解轮廓、Lundberg对数凸型轮廓与工程对数轮廓及3种轮廓下的接触压力和接触区域,比较得出如下结论：从轮廓中部到两端,Lundberg对数凸型轮廓与数值解轮廓的偏离量逐渐增大;随着接触区域长宽比的减小,前者轮廓与后者轮廓的偏离量逐渐增大, Lundberg对数凸型轮廓在接触区域端部有逐渐脱离接触的趋势,且在端部附近出现逐渐明显的压力非均匀分布现象;与Lundberg对数凸型轮廓相比数值解轮廓不仅改善了压力分布状况,而且能够得到端部连续的轮廓曲线;通过比较可知,工程对数轮廓的修型量偏大,滚子实际有效长度有所减小。

理论对数凸型, 数值求解, Lundberg对数凸型, 压力分布