Abstract：In order to solve the problems in computational method for moment arm of friction resistance in the ball bearings which make a hydraulic gate supported and movable, the rolling friction in the ball bearings is simplified from energy loss point of view. Firstly, the rolling friction is due to micro-sliding friction, and the micro-sliding contact surfaces are approximately circular area, then the stress distribution can be obtained by superimposing two similar Hertz stress formulas to meet the contact boundary condition. Secondly, the rolling friction is caused from elastic-hysteresis which is related to the plastic effect in the material of balls. A bearing ball can be deformed by an external load, during such a deformation, the structural damping, which is caused from the internal friction in the material will consume a part of energy, leads to the elastic-hysteresis. The elastic-hysteresis is proportional to strain. Thirdly, the rolling friction is caused from an adhesion-effect that is relevant to surface energy. When a ball is rolling in two bearing rings, it needs to overcome the surface energy; eventually, a part of e-nergy is consumed as well, causing the adhesive effect occurs. Finally, a few materials frequently used as in ball bearings, such as 440C stainless steel, silicon nitride, silicon carbide and tungsten carbide etc, were involved in the calculation of moment arm of friction resistance. It was found that the moment arm is proportional to slip ratio, and inversely proportional to load.
高仕赵, 徐国宾. 基于能量损耗的球轴承摩阻力臂计算方法[J]. 排灌机械工程学报, 2014, 32(5): 416-421.
Gao Shizhao, Xu Guobin. Energy loss-based computational method for moment arm of frictional resistance in ball bearings. Journal of Drainage and Irrigation Machinery Engin, 2014, 32(5): 416-421.
[1]Harris T A, Kotzalas M N.滚动轴承分析:第1卷 [M]. 罗继伟,马伟,译. 北京:机械工业出版社,2009.[2]Harris T A, Kotzalas M N.滚动轴承分析:第2卷 [M]. 罗继伟,马伟,译. 北京:机械工业出版社,2009.[3]裴有福,金元生,温诗铸.轮轨粘着的影响因素及其控制措施[J].国外铁道车辆,1995(2):5-11. Pei Youfu, Jin Yuansheng, Wen Shizhu. Wheel rail adhesion influencing factors and control measures [J]. Foreign Rolling Stock, 1995(2):5-11.(in Chinese)[4]Meng Yonggang, Hu Bo, Chang Qiuying. Control of lo-cal friction of metal/ceramic contacts in aqueous solutions with an electrochemical method[J]. Wear, 2006,260(3):305-309.[5]瓦伦丁·L· 波波夫.接触力学与摩擦学的原理及其应用[M].李强,雒建斌,译.北京:清华大学出版社,2011.[6]Jiang Hongjun, Meng Yonggang, Wen Shizhu.Effects of external D.C. electric fields on friction and wear beha-vior of alumina/brass sliding pairs[J]. Science China Series E: Technological Sciences,1998,41(6):617-625.[7]Timshenko S P, Goodier J N. 弹性力学[M]. 北京:清华大学出版社,2001.[8]Choi G Y, Kim S, Ulman A. Adhesion hysteresis stu-dies of extracted poly(dimethy lsiloxane)using contact mechanics[J].Langmuir, 1997,13(23): 6333-6338.[9]温诗铸,黄平.摩擦学原理[M].3版.北京:清华大学出版社,2008.[10]纪敬虎,符永宏,王祖权,等.激光表面跨尺度织构化机械密封摩擦性能[J].排灌机械工程学报,2012,30(4):452-456. Ji Jinghu,Fu Yonghong,Wang Zuquan,et al. Tribological property of mechanical seal with laser-induced multi-scale surface texturing[J].Journal of Drainage and Irrigation Machinery Engineering, 2012,30(4):452-456.(in Chinese)[11]袁润,程云荣,符永宏,等. 线接触副球墨铸铁表面激光织构对摩擦学特性的影响[J].江苏大学学报:自然科学版,2013,34(4):450-454. Yuan Run, Cheng Yunrong, Fu Yonghong, et al.Influ-ence of laser surface texturing on tribolgical performance of ductile cast iron under line contact conditions[J].Journal of Jiangsu University:Natural Science Edition,2013,34(4): 450-454.(in Chinese)
