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CLC number: TH133.33

On-line Access: 2010-07-06

Received: 2009-09-25

Revision Accepted: 2010-03-04

Crosschecked: 2010-06-10

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Journal of Zhejiang University SCIENCE A 2010 Vol.11 No.7 P.511-519


A simple approach for determining the preload of a wire race ball bearing

Author(s):  Xiao-biao Shan, Li-li Wang, Tao Xie, Wei-shan Chen

Affiliation(s):  School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China, College of Science, Northeast Forestry University, Harbin 150040, China

Corresponding email(s):   shanxiaobiao@hit.edu.cn, xietao@hit.edu.cn

Key Words:  Wire race ball bearing, Rolling friction, Starting torque, Contact interface

Xiao-biao Shan, Li-li Wang, Tao Xie, Wei-shan Chen. A simple approach for determining the preload of a wire race ball bearing[J]. Journal of Zhejiang University Science A, 2010, 11(7): 511-519.

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A1 - Xiao-biao Shan
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A1 - Tao Xie
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DOI - 10.1631/jzus.A0900583

wire race ball bearings have been widely used in high-tech weapons. The preload of a wire race ball bearing is crucial in engineering applications. In this study, a more effective approach is proposed for exact determination of the wire race ball bearing preload. A new mathematical model of the preload and the starting torque of the wire race ball bearing was built using the theorem of the 3D rolling friction resistance and the non-conforming contact theory. Employing a wire race ball bearing with a 1000 mm diameter used in a specific type of aircraft simulating rotary table, the numerical analysis in MATLAB® showed that the preload magnitude can be controlled in the range of 130–140 μm. As verification, the experimental results were in agreement with the theoretical results, and confirm the feasibility of this method. This new approach is more exact in the preload range of 10–158 μm than that computed by the numerical method reported in our previous work (Shan et al., 2007b). This implies that the present method contributes to more effectively preventing rolling noise, overturning moments and wear of the wire race ball bearing. The current research provides critical technical support for the engineering application of wire race ball bearings with large diameters.

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[1]Anderson, W.J., 1964. Rolling-element Bearings, Advanced Bearing Technology. Bisson, E.E., Anderson, W.J. (Eds.), NASA SP-38, p.139-173.

[2]Drutowski, R.C., 1959. Energy losses of balls rolling on plates. Journal of Basic Engineering, Series D, 81(2):233-238.

[3]Drutowski, R.C., 1962. The Linear Dependence of Rolling Friction on Stressed Volume, Rolling Contact Phenomena. Bidwell, J.B. (Ed.), Elsevier Publishing Co., Amsterdam, p.113-131.

[4]Drutowski, R.C., Mikus, E.B., 1960. The effect of ball bearing steel structure on rolling friction and contact plastic deformation. Journal of Basic Engineering, Series D, 82(2):302-308.

[5]Fan, S.L., 2005. The structure design of azimuth branch sustatined rotating device in some big antenna pedestal. Modern Radar, 27:67-70 (in Chinese).

[6]Gao, Y.F., Bower, A.F., Kim, K.S., Lev, L., Cheng, Y.T., 2006. The behavior of an elastic-perfectly plastic sinusoidal surface under contact loading. Wear, 261(2):145-154.

[7]Jamari, J., Schipper, D.J., 2006. An elastic-plastic contact model of ellipsoid bodies. Tribology Letters, 21(3):262-271.

[8]Jamari, J., Schipper, D.J., 2007. Plastic deformation and contact area of an elastic-plastic contact of ellipsoid bodies after unloading. Tribology International, 40(8):1311-1318.

[9]Johnson, K.L., 1985. Contact Mechanics. Cambridge University Press, Cambridge.

[10]Jones, A.B., 1952. The life of high-speed ball bearings. Transactions of the ASME, 74(5):695-703.

[11]Kogut, L., Etsion, I., 2002. Elastic-plastic contact analysis of a sphere and a rigid flat. Journal of Applied Mechanics, Transactions of the ASME, 69(5):657-662.

[12]Lamon, P., Krebs, A., Lauria, M., Siegwart, R., Shooter, S., 2004. Wheel Torque Control for a Rough Terrain Rover. Proceedings of IEEE International Conference on Robotics and Automation, 5:4682-4687.

[13]Poritsky, H., Hewlett, C.W.Jr., Coleman, R.E.Jr., 1947. Sliding friction of ball bearings of the pivot type. Journal of Applied Mechanics, Transactions of the ASME, 14(4):261-268.

[14]Samper, V.D., Sangster, A.J., Reuben, R.L., Wallrabe, U., 1999. Torque evaluation of a LIGA fabricated electrostatic micromotor. Journal of Microelectromechanical Systems, 8(1):115-123.

[15]Shan, X.B., Tie, T., Chen, W.S., 2007a. Novel approach for determining the optimal axial preload of a simulating rotary table spindle system. Journal of Zhejiang University-SCIENCE A, 8(5):812-817.

[16]Shan, X.B., Xie, T., Chen, W.S., 2007b. A new method for determining the preload in a wire race ball bearing. Tribology International, 40(5):869-875.

[17]Shi, J., 2004. Design of the wire race ball bearing in a mini photoelectric search equipment. Electronic and Electro-optical System, 2:33-35 (in Chinese).

[18]Williams, J., 2005. The influence of repeated loading, residual stresses and shakedown on the behaviour of tribological contacts. Tribology International, 38(9):786-797.

[19]Willner, K., 2004. Elasto-plastic normal contact of three-dimensional fractal surfaces using halfspace theory. Journal of Tribology, Transactions of the ASME, 126(1): 28-33.

[20]Zhu, H.P., Yu, A.B., 2003. The effects of wall and rolling resistance on the couple stress of granular materials in vertical flow. Physica A: Statistical Mechanics and Its Applications, 325(3-4):347-360.

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