Numerical Analysis of Grease Lubrication for Radial Spherical Plain Bearings in Rotation and Swing Motion
-
摘要: 建立了球面轴承的三维润滑模型,该模型将内圈的转动运动、轴颈倾斜引起的内圈倾斜和内圈的摆动运动等因素纳入考虑,推导出球坐标下适用于非Newton(牛顿)流体润滑的Reynolds(雷诺)方程.应用该模型,并考虑使用润滑脂的Ostwald流变模型,对向心关节轴承的润滑问题进行了数值计算,研究了在不同的幂律指数、内圈倾斜角度和摆动角速度下,脂润滑膜的压力分布、最大压力、承载力和流量.结果表明:在合适的操作条件下,脂润滑能产生明显的流体动压效应;在其它参数不变时,幂律指数对脂润滑膜的最大压力和承载能力影响显著,相对于Newton流体,剪切稠化流体可提高润滑膜的最大压力和承载能力,并增加周向流量,而剪切稀化流体的影响效果则相反;内圈倾斜角度对脂润滑膜最大压力和承载能力的影响较小,内圈摆动角速度的影响则较为明显.
-
关键词:
- 球面轴承 /
- 关节轴承 /
- 非Newton流体润滑 /
- 复合运动 /
- Reynolds方程
Abstract: Formulation of the 3D lubrication model for spherical bearings was proposed. The rotation of the inner ring, the inner ring tilt caused by the axle journal misalignment and the swing angular velocity of the inner ring were taken into account in this model, and the modified Reynolds equation in the spherical coordinate system was obtained to depict non-Newtonian fluid lubrication. Moreover, with the lubrication model aforementioned, the lubrication problems of radial spherical plain bearings were analysed numerically based on the Ostwald rheological model for greases. The pressure distribution, the maximum pressure, the load capacity and the flow rate of the grease lubricant film were studied with variations of the grease power-law index, the inner ring inclination angle and the swing angular velocity, respectively. It is found that the grease lubricant film generates obvious hydrodynamic effects. With the other parameters fixed, the power-law index has significant influences on the maximum pressure and the load capacity of the grease film. Compared with Newtonian fluid, the shear-thickening fluid is observed to increase the values of film maximum pressure, load capacity and axial flow rate, but the shear-thinning fluid is observed to act contrarily. The inner ring inclination angle has little effect on the maximum pressure and the load capacity, while the swing angular velocity has much. -
[1] Dowson D. A generalized Reynolds equation for fluid-film lubrication[J]. International Journal of Mechanical Science,1962,4(2): 159-170. [2] Buckholz R. On the role of a non-Newtonian fluid in short journal bearing theory[J].Journal of Tribology,1985,107(1): 68-74. [3] Dien I, Elrod H. A generalized steady-state Reynolds equation for non-Newtonian fluids, with application to journal bearings[J]. Journal of Lubrication Technology, 1983,105(3): 385-390. [4] Buckholz R. Effects of power-law non-Newtonian lubricants on load capacity and friction for plane slider bearings[J]. Journal of Tribology,1986,〖STHZ〗108(1): 86-91. [5] Johnson M, Mangkoesoebroto S.Analysis of lubrication theory for power law fluid[J]. Journal of Tribology,1993,115(1): 71-77. [6] Lin J, Teng M, Ho M. Effects of non-Newtonian rheology on the film-height history between non-parallel sliding-squeezing surfaces[J]. Journal of Engineering Tribology,2007,221(2): 155-159. [7] 阿伯德-尔-马力克 M B, 伯占 N A, 豪赛恩 H S. 用群方法求解幂律非牛顿导电流体的Rayleigh问题[J]. 应用数学和力学, 2002,23(6): 569-575.(Abd-el-Malek M B, Badran N A, Hassan H S. Solution of the Rayleigh problem for a power-saw non-Newtonian conducting fluid via group method[J]. Applied Mathematics and Mechanics,2002,23(6): 569-575.(in Chinese)) [8] Tichy J. Hydrodynamic lubrication theory for the Bingham plastic flow model[J]. Journal of Rheology,1991,35(4): 477-496. [9] Jang J, Khonsari M. Performance analysis of grease-lubricated journal bearings including thermal effects[J]. Journal of Tribology,1997,119(4): 859-868. [10] Yoo J, Kim K. Numerical analysis of grease thermal elastohydrodynamic lubrication problems using the Herschel-Bulkley model[J]. Tribology International,1997,30(6): 401-408. [11] Zhang J, Khayat R, Noronha A. Three-dimensional lubrication flow of a Herschel-Bulkley fluid[J]. International Journal for Numerical Methods in Fluids,2006,50(4): 511-530. [12] 康克家, 杜三明, 张永振, 逄显娟. 高速摆动下PTFE编织复合材料干摩擦研究[J]. 润滑与密封, 2012,37(1): 10-12.(KANG Ke-jia, DU San-ming, ZHANG Yong-zhen, PANG Xian-juan. Study on dry friction behaviors of PTFE braided composites under high-speed condition[J]. Lubrication Engineering,2012,37(1): 10-12.(in Chinese)) [13] Germaneau A, Peyruseigt F, Mistou S, Dalverny O, Doumalin P, Dupré J-C. Verification of a spherical plain bearing finite-element model using scattered light photoelasticity tests[J]. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology,2008,222(5): 647-656. [14] Kim B C, Park D C, Kim H S, Lee D J. Development of composite spherical bearing[J].Composite Structures,2006,75(1/4): 231-240. [15] 邱明, 李正国, 李迎春, 陈龙, 苗艳伟. 倾斜摆动条件下衬垫改性对自润滑关节轴承摩擦学性能的影响[J]. 摩擦学学报, 2014,34(1): 59-64.(QIU Ming, LI Zheng-guo, LI Ying-chun, CHEN Long, MIAO Yan-wei. Effect of liner modification on the tribological properties of self-lubricating spherical plain bearings under tilting oscillation[J]. Tribology,2014,34(1): 59-64.(in Chinese)) [16] 向定汉, 潘青林, 姚正军. 聚四氟乙烯自润滑编织复合材料关节轴承的摆动摩擦磨损性能研究[J]. 摩擦学学报, 2003,23(1): 72-75.(XIANG Ding-han, PAN Qing-lin, YAO Zheng-jun. Friction and wear behavior of polytetrafluoroethylene fabric composite spherical bearing in swaying[J]. Tribology, 2003,23(1): 72-75.(in Chinese)) [17] Meyer D M, Tichy J A. Lubrication model of an artificial hip joint: pressure profile versus inclination angle of the acetabular cup[J]. Journal of Tribology,1999,121(3): 492-498. [18] Meyer D. Reynolds equation for spherical bearings[J]. Journal of Tribology,2003,125(3): 203-206. [19] 邱明, 殷勇, 王国锋, 郜志伦, 陈龙, 李迎春. 一种复合摆动式关节轴承试验机[P]. CN201020522657.1.(QIU Ming, YIN Yong, WANG Guo-feng, GAO Zhi-lun, CHEN Long, LI Ying-chun. A Test Rig for Spherical Plain Bearing With Compound Swing Movement[P]. CN201020522657.1.(in Chinese)) [20] 杨沛然. 流体润滑数值分析[M]. 北京: 国防工业出版社, 1998.(YANG Pei-ran. Numerical Analysis of Fluid Lubrication [M]. Beijing: National Defense Industry Press, 1998.(in Chinese)) [21] 裘俊红. 传递原理及其应用[M]. 北京: 化学工业出版社, 2007.(QIU Jun-hong. The Principle and Applications of Transfer [M]. Beijing: Chemical Industry Press, 2007.(in Chinese)) [22] Goenka P, Booker J. Spherical bearings: static and dynamic analysis via the finite element method[J]. Journal of Lubrication Technology,1980,102(3): 308-318.
点击查看大图
计量
- 文章访问数: 1052
- HTML全文浏览量: 102
- PDF下载量: 918
- 被引次数: 0