圆锥滚子对数修形的优化设计方法研究

Optimum Design Method for Logarithmic Crowned Tapered Rollers

摘要: 以提高轴承的疲劳寿命为优化目标，提出了一种圆锥滚子对数修形的优化设计方法。给出了修形圆锥滚子–滚道间接触应力分布的分析模型及轴承疲劳寿命的计算模型，分析了特定工况下修形参数对接触应力及轴承疲劳寿命的影响，确定了对数修形设计的参数；以轴承疲劳寿命作为修形设计的目标函数，经过定量分析，得到了最佳对数修形参数；设定疲劳寿命和接触长度因子的许用值，并据此得到了修形参数的上、下偏差值，为实际的工程应用提供了依据。

Abstract: Based on the objective of elongating the fatigue life of roller bearings, an optimum design method is presented for the logarithmic crowned tapered rollers in this paper. The analysis model for contact stress distribution between crowned tapered roller and raceway, together with the computational model of bearing fatigue life, is provided as the basic of crowning design. The design parameter of logarithmic crown profile is determined after analyzing the effect of crowning parameter on stress distribution and bearing’s fatigue life under the given conditions. By introducing the fatigue life of bearing as the objective function in the crowning design, the optimal logarithmic crowning parameter can be obtained quantitatively. Moreover, the upper and lower deviation values of the crowning parameter are obtained by referring to the allowable values of the fatigue life and the contact length coefficient, providing the reference for engineering design in application.