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采用边界元法对高度非线性的滚动轴承接触问题进行了研究。利用轴承边界单元模拟轴承接触单元,采用赫兹接触理论对滚动体与轴承内外圈的接触宽度进行修正;根据轧机圆锥滚子轴承安装配合时轴承内圈与轧辊、轴承外圈与轴承座均采用松配合的特点,在多物体有摩擦弹性接触的边界元法基础上,编制了四物体有摩擦弹性接触的专用轴承边界元法计算程序;并对轧机四列圆锥滚子轴承进行了数值分析,验证了算法的可行性和有效性。结果表明:四列滚动体上圆锥滚子小端受较大的压力,且滚动体端部压力远大于中部压力;滚动体承受的轴向压力与四列圆锥轴承的锥度分布一致,最大应力出现在第一列滚动体靠近辊身侧的位置;各个滚动体的接触宽度与滚动体上承受的径向载荷分布规律一致,非轴承接触面所受载荷的分布与承受载荷的滚动体的位置相对应。
The boundary element method is used to study the contact problem of highly nonlinear rolling bearing. The bearing contact element is simulated by the bearing boundary element, and the contact width between the rolling element and the inner and outer rings of the bearing is corrected by Hertz contact theory. When the inner ring and the roller of the bearing are fitted and matched with the tapered roller bearing of the rolling mill, Based on the boundary element method with multi-object frictional elastic contact, a special bearing boundary element method for four-object frictional elastic contact was established. The numerical analysis of the four-row tapered roller bearing was carried out and verified The feasibility and effectiveness of the algorithm. The results show that the small end of the tapered roller with four rows of rolling elements is subject to a large pressure and the pressure at the end of the rolling element is much larger than the pressure in the middle. The axial pressure of the rolling elements is consistent with the taper distribution of the four rows of tapered bearings with the maximum stress The rolling contact body of the first row is close to the roller body side. The contact width of each rolling element is consistent with the radial load distribution on the rolling elements. The distribution of the load on the non-bearing contact surface and the position of the rolling elements under load correspond.