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Theoretical and Experimental Study of Spindle Ball Bearing Nonlinear Stiffness

Published online by Cambridge University Press:  07 August 2013

R. Madoliat  and
M. F. Ghanati
R. Madoliat*
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran
M. F. Ghanati
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran
*
*[email protected]
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Abstract

This paper concentrates on theoretical and experimental nonlinear stiffness study of milling machine tool spindle angle contact ball bearing. The theoretical study allows us to build an analytical model to define nonlinear stiffness of angle contact ball bearings based on geometrical and physical parameters. Modifications were done on literature's models (e.g. Balls deformations) having positives impacts on conformity of models to experimental results.

FEM model using ANSYS is constructed to analyze the different parameters affecting the nonlinear stiffness of ball bearing. Among those parameters are physical including the geometry, friction coefficient and the boundary conditions of the model and Numerical parameters such as mesh density and penetration.

Experimental tests were done on the spindle ball bearing 7014, to measure the rigidity. Universal tensile testing machine is used to achieve load displacement curves. The developed theoretical model, constructed finite element model and experimental results showed good conformity.

Keywords

ModelingBall bearingStiffnessFEM modeling
Type
Research Article
Information
Journal of Mechanics , Volume 29 , Issue 4 , December 2013 , pp. 633 - 642
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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References

REFERENCES

1.Shigley, J. E. and Mitchel, L. D., Mechanical Engineering Design, 4th Edition, McGra-Hill, pp. 85-88, 484–514 (1983).Google Scholar
2.Palmgren, A., Ball and Roller Bearing Engineering, 3rd Edition, S. Burbank and Co, Philadelphia (1959).Google Scholar
3.Harris, T. A., Rolling Bearing Analysis, 3rd Edition, Lavosier (1991).Google Scholar
4.Eschmann, P., Hasbargen, L. and Weigand, K., Ball and Roller Bearings: Theory, Design and Application, R, Oldenbourg Verlag, John Wiley and Sons, Inc. (1985).Google Scholar
5.Lim, T. C., “Vibration Transmission Through Rolling Element Bearings in Geared Rotor Systems,” The Ohio State University, pp. 12–60 (1989).Google Scholar
6.De Mul, J. M., Vree, and Maas, D.A., “Equilibrium and Associated Load Distribution in Ball and Roller Bearings Loaded in 5 Degrees of Freedom While Neglecting Friction - Part I: General Theory and Application to Ball Bearings” Journal of Tribology, ASME, 111, pp. 149–155 (1989).Google Scholar
7.Fukata, S. E. H., Kondou, T., Ayabe, T. and Tamura, H., “On the Radial Vibration of Ball Bearing,” Bulletin of the Japan Society of Mechanical Engineers, 28, pp. 899–904 (1985).Google Scholar
8.Hentati, T., Dammak, F., Fakhfakh, T. and Haddar, M., “A Finite Element Development for Ball Bearing Nonlinear Stiffness Modelization,” Intentional Journal of Simulation Modeling, 4, pp. 118–128 (2005).Google Scholar
9.Kramer, E., Dynamics of Rotors and Foundation, Berlin, Springer-Verlag, Berlin (1993).Google Scholar
10.Beatty, R. F. and Rowan, B. F., “Determination of Ball Bearing Dynamic Stiffness, Proceedings of a Workshop,” Rotordynamic Instability Problems in High Performance Turbomachinery, NASA Conference Publication 2250, pp. 98–104 (1982).Google Scholar
11.Bogard, F., Debray, K. and Guo, Y. Q., “Determination of Sensor Positions for Predictive Maintenance of Revolving Machines,” International Journal of Solids and Structures, 39, pp. 3159–3173 (2002).Google Scholar
12.ITT Flygt Industries, “Shaft and Bearings Calculations,” 02.03.Eng. 0, 5 M. 04.04, p. 7 (2004).Google Scholar
13.Kraus, J., Blech, J. J. and Braun, S. G., “In Situ Determination of Roller Bearing Stiffness and Damping by Modal Analysis,” Journal of Vibration, Acoustics, Stress, and Reliability in Design, ASME, 109, pp. 235–240 (1987).Google Scholar
14.Marsh, E. R. and Yantek, D. S., “Experimental Measurement of Precision Bearing Dynamic Stiffness,” Journal of Sound and Vibration, 202, pp. 55–66 (1997).Google Scholar
15.Rajab, M. D., “Modelling of the Transmissibility Through Rolling-Element Bearing Under Radial and Moment Loads,” Ph.D. Thesis, The Ohio State University, Columbus, Ohio (1982).Google Scholar
16.Young, W. B., “Dynamic Modelling and Experimental Measurements of a Gear Shaft and Housing System,” M.S. Thesis, Ohio State University (1988).Google Scholar
17.Cao, Y. Z., “Modelling of High-Speed Machinetool Spindle Systems,” Thesis for Doctor of Philosophy in the Faculty of Graduate Studies, The University of British Columbia, pp. 20–82 (2006).Google Scholar
18.Liao, N. T. and Lin, J. F., “A New Method for the Analysis of Deformation and Load in a Ball Bearing with Variable Contact Angle,” Journal of Mechanical Design, ASME, 123, pp. 304–312 (2001).Google Scholar
19.Harris, T. A., Rolling Baring Analysis, John Wiley & Sons, Inc. (1967).Google Scholar