Nonlinear dynamic dnalysis of high speed rolling element bearings due to cage run-out

  • S. P. Harsha Birla Institute of Technology & Science
  • P. K. Kankar Birla Institute of Technology & Science
  • R. K. Purohit M. B. M. Engineering College, J. N. V. U.

Abstract

The paper presents an analytical model to investigate the nonlinear dynamic behavior of rotor bearing system due to cage run-out. Due to run-out of the cage, the rolling elements no longer stay equally spaced. The mathematical model takes into account the sources of nonlinearity such as Hertzian contact force and cage run-out, resulting transition from no contact-to-contact state between rolling elements and races. The contact between the rolling elements and races is treated as nonlinear springs. The nonlinear stiffness is obtained by application of Hertzian contact deformation theory. The implicit type numerical integration technique Newmark-β with Newton Raphson method is used to solve the nonlinear differential equations iteratively. The results are presented in the form of Fast Fourier Transformations (FFT) and contact force-time responses. It is implied from the obtained FFT that due to the cage run-out, the ball passage frequency is modulated with the cage frequency.

Keywords

nonlinear dynamic response, chaotic vibration, Newmark- β, ball passage frequency,

References

[1] A.B. Jones. A General Theory for Elastically Constrained Ball and Radial Roller Bearings Under Arbitrary Load and Speed Conditions. ASME Journal of Basic Engineering, 309-320, 1959.
[2] A. Palmgren. Ball and Roller Bearing Engineering. SKF Industries Inc., 1959.
[3] C.R. Meeks and L. Tran. Ball Bearing Dynamic Analysis Using Computer Methods, Part-I: Analysis. ASME Journal of Thbology, 118: 52- 58 1996.
[4] C.R. Meeks and N. Foster. Computer Simulation of Ball Bearing Dynamics Analytical Predictions and Test Results. Ball Bearing Symposium and Seminar, Orlando, F, March 9- 12, 1987.
[5] C.R. Meeks. Ball Bearing Dynamic Analysis Using Computer Methods and Correlation with Empirical Data. International Tribology Conference, Melbourne, Australia, Dec. 2-4, 1987.
Published
Dec 8, 2022
How to Cite
HARSHA, S. P.; KANKAR, P. K.; PUROHIT, R. K.. Nonlinear dynamic dnalysis of high speed rolling element bearings due to cage run-out. Computer Assisted Methods in Engineering and Science, [S.l.], v. 12, n. 1, p. 31-48, dec. 2022. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1005>. Date accessed: 08 dec. 2024.
Section
Articles