滚动轴承接触应力的有限元分析方法研究

Study on the Finite Element Analysis Method for Contact Stress of Rolling Bearing

针对滚动轴承有限元分析中网格划分离散化引起游隙误差和非点接触的问题,提出了采用网格匹配的方法。首先,阐述了有限元分析中的网格匹配及匹配对接触计算的重要性。然后,对球轴承三维模型进行网格匹配的分析。最后,基于轴承接触问题的简化模型对网格匹配及网格密化进行了定量分析。结果表明:弧线、弧面接触问题中,网格不匹配引起较大分析误差,网格匹配意义明显;对满足Hertz理论的接触问题进行有限元分析时,网格匹配及适当密化可显著提高分析精度;滚动轴承在不进行网格密化的情况下,采用网格匹配技术可获得较好的分析精度。该研究对滚动轴承精确有限元建模分析具有一定指导意义。

The mesh matching method is proposed for clearance error and non point contact problem caused by mesh discretization in the finite element analysis rolling beating. Firstly, the mesh matching and the importance of the matching to contact calculation in finite element analysis is expounded. Secondly, the mesh matched 3 - D model of ball beating is analyzed. Finally, the mesh matching and compacting is analyzed quantificationally based on a simplified model of bearing contact problems. The results show that, the mesh non - matching causes larger error for arcs and cambered surfaces contact problem, the effect of mesh matching is obvious; the mesh matching and compacting can significantly improve the accuracy of analysis for Hertz contact problem ; a better analysis precision can be achieved when the mesh matched and non - compacted rolling bearing model is used. The study has a certain guiding significance for accurate finite element modeling and analysis of rolling beating.