理论对数凸型, 数值求解, Lundberg对数凸型, 压力分布

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.