Mathematical Modeling and Experimental Verification of the Radial Stiffness for a Wire Race Ball Bearing

Abstract:

This paper firstly presented a mathematical model of the radial stiffness of a wire race ball bearing in a certain type of three-axis aircraft simulating rotary table. The Stribeck theory was used to determine the radial load distribution of the bearing. By treating the contact between balls and wires as equivalent compression springs, the relationships of these springs in series and parallel can be obtained to solve the total radial stiffness. Experiments verified the theoretical results of the radial stiffness. This work provides an effective support for further studying the complex contact dynamics of the wire race ball bearing in the future.

• Periodical: Applied Mechanics and Materials (Volume 120)
• Pages: 343-348
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.120.343
• Online since: October 2011
• Authors: Xiao Biao Shan, Li Li Wang, Tao Xie, Wei Shan Chen
• Keywords: Contact Mechanics, Contact Stiffness, Mathematical Modeling, Wire Race Ball Bearing

References

[1] X.B. Shan, T. Xie, W.S. Chen, L.L. Wang. Modeling and experimental verification of the axial stiffness for a wire race ball bearing. IASTED International Conference on Modelling, Simulation, and Identification, October 12-14, 2009, Beijing, China. Acta Press (2009)

[2] X.B. Shan, L.L. Wang, T. Xie, W.S. Chen, A simple approach for determining the preload of a wire race ball bearing, Journal of Zhejiang University-Science A. 11 (2010) 511-519

DOI: 10.1631/jzus.a0900583

[3] J.M. De Mul, J.M. Vree, D.A. Maas, Equilibrium and associated load distribution in ball and roller bearings loaded in five degrees of freedom while neglecting friction---Part I: general theory and application to ball bearings, Journal of Tribology. 111 (1989) 142-148

DOI: 10.1115/1.3261864

[4] M.A. Al-Shudeifat, E.A. Butcher, C.R. Stern, General harmonic balance solution of a cracked rotor-bearing-disk system for harmonic and sub-harmonic analysis: analytical and experimental approach, International Journal of Engineering Science. 48 (2010) 921-935

DOI: 10.1016/j.ijengsci.2010.05.012

[5] Y.Z. Cao, Y. Altintas, A general method for the modeling of spindle-bearing systems, Journal of Mechanical Design. 126 (2004) 1089-1104

DOI: 10.1115/1.1802311

[6] M.N. Sahinkaya, A.H.G. Abulrub, P.S. Keogh, C.R. Burrows, Multiple sliding and rolling contact dynamics for a flexible rotor/magnetic bearing system, Mechatronics, IEEE/ASME Transactions on. 12 (2007) 179-189

DOI: 10.1109/tmech.2007.892827

[7] B. Jacobson, The Stribeck memorial lecture, Tribology International. 36 (2003) 781-789

DOI: 10.1016/s0301-679x(03)00094-x

[8] K. Willner, Elasto-plastic normal contact of three-dimensional fractal surfaces using halfspace theory, Journal of Tribology. 126(2004) 28-33

DOI: 10.1115/1.1631019

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

DOI: 10.1016/j.triboint.2005.02.006

[10] A. Almqvist, F. Sahlin, R. Larsson, S. Glavatskih, On the dry elasto-plastic contact of nominally flat surfaces, Tribology International. 40 (2007) 574-579

DOI: 10.1016/j.triboint.2005.11.008