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

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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-j3 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.
Rocznik
Strony
31--48
Opis fizyczny
Bibliogr. 19 poz., rys., tab., wykr.
Twórcy
autor
  • Birla Institute of Technology and Science, Mechanical Engineering Group, Pilani 333031, India
autor
  • Birla Institute of Technology and Science, Mechanical Engineering Group, Pilani 333031, India
  • Member of ASME, M. B. M. Engineering College, J. N. V. U., Jodhpur India
Bibliografia
  • [1| A.B. Jones. A General Theory for Elastically Constrained Bali and Radial Roller Bearings Under Arbitrary Load and Speed Conditions. ASME Journal of Basic Engineering, 309-320, 1959.
  • [2] A. Palmgren. Bali and Roller Bearing Engineering. SKF Industries Inc., 1959.
  • [3] C.R. Meeks and L. Tran. Bali Bearing Dynamic Analysis Using Computer Methods, Part-I: Analysis. ASME Journal of Tribology, 118: 52-58 1996.
  • [4] C.R. Meeks and N. Poster. Computer Simulation of Bali Bearing Dynamics Analytical Predictions and Test Results. Bali Bearing Symposium and Seminar, Orlando, F, March 9-12, 1987.
  • [5] C.R. Meeks. Bali Bearing Dynamic Analysis Using Computer Methods and Correlation with Empirical Data. International Tribology Conference, Melbourne, Australia, Dec. 2-4, 1987.
  • [6] C.T. Walters. The Dynamics of Bali Bearings. Trans, of ASME, Journal of Lubricating Engineering, 93: 1-10, 1971.
  • [7] E.H. Gad, S. Fukata and H. Tumara. Computer Simulation of Rotor Radial Vibration due to Bali Bearings. Memories of the Faculties of Engineering, Kyushu universities, 44: 83-111, 1984 (a).
  • [8| E. Kramer. Dynamics of rotors and foundations New York: Springer, 1993.
  • [9] H. Rahnejat and R. Gohar. The Vibrations of Radial Bali Bearings. Proceedings of the Institution of Mechanical Engineers, 199 (C3): 181-193, 1985.
  • [10] J.W. Kennel and S.S. Bupara. A Simplified Model of Cage Motion in Angular Contact Bearings Operating in the EHD Lubricating Regime. ASME Journal of Lubricating Technology, 101: 395-401, 1978.
  • [11] K. Bathe and E. Wilson, Numerical Methods in Finite Element Analysis, Prentice-Hall Englewood Cliffs, NJ, 1976.
  • [12] N. Aktürk, M. Uneeb and R. Gohar. The Effects of Number of Balls and Preload on Vibrations Associated Bali Bearings. ASME Journal of Tribology, 119: 747-753, 1997.
  • [13] P. Eschmann, Bali and Roller Bearings- Theory, Design and Application. Willey, New York, 1985.
  • [14] P.K. Gupta. Advanced Dynamics of Rolling Element Bearings, Springer Verlag, 1984.
  • [15] P.K. Gupta. The Dynamics of Rolling Element Bearings, Part-III: Bali Bearing Analysis. Trans. of ASME, 101: 51-70, 1979.
  • [16] S.P. Harsha, K. Sandeep and R. Prakash. Effects of Preload and Number of Balls on Nonlinear Dynamic Behaviors of Bali Bearing System. International Journal of Nonlinear Sciences and Numerical Simulation, 4(3): 265-278, 2003.
  • [17] S.P. Harsha, K. Sandeep and R. Prakash. Nonlinear Dynamic Behaviors of Rolling Element Bearings Due to Surface Waviness. Journal of Sound and Vibration, 272(3-5): 557-580, 2004.
  • [18] S.P. Harsha, K. Sandeep and R. Prakash. The Effect of Speed of Balanced Rotor on Nonlinear Vibrations Associated With Bali Bearings. International Journal of Mechanical Sciences, 47(4): 225-240, 2003.
  • [19] T.A. Harris. Rolling Bearing Analysis. Willey, New York, 1991.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0013-0010
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