滚动体几何相似条件在轴承边界元法中的应用

摘要

滚动轴承作为多物体接触系统，具有高度的非线性。为了求解滚动轴承的三维载荷分布，考虑所有滚动体的形状和边界条件相同，利用几何相似条件通过初始位置滚动体的离散模型，得到其他滚动体的离散数据。将所有滚动体看作是一个物体，轴承系统可以用3个物体无摩擦接触边界元法进行模拟计算。考虑全部滚动体作为一个整体的特殊性，叙述了边界积分方程和耦合的矩阵方程的建立，编制了基于滚动体几何相似条件的轴承边界元法 Fortran 源程序。利用该程序对轧机四列圆锥滚子轴承进行数值模拟，得到轴承的接触压力和载荷，滚动体接触宽度和接触滚动体个数，并说明了方法的有效性。%As a multi-object contact system,roller bearing is highly non-linear.To solve its three-dimen-sional distribution of pressure and load,we establish a discrete model of the initial location roller;other rollers’discrete data can be obtained because they have geometrically similar conditions.Based on the three-dimensional,elastic contact boundary element method (BEM),all bearing rollers can be described as one object;therefore,the roller bearing problem of a multi-object contact system can be simplified to the problem of a three-object contact system.Considering the specificity of all bearing rollers described as one object,the boundary integral equation and coupling matrix equation are established.A bearing-BEM program using Fortran language is compiled based on geometrically similar roller conditions;with this method,a mill four-row tapered roller bearing is simulated.The bearing contact pressure and load,the rollers’contact widths and the number of contact rollers are obtained,certifying the method’s validity.