Modelling of a rotor-ball bearings system using Timoshenko beam and effects of rotating shaft on their dynamics View Full Text


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Article Info

DATE

2016-12-15

AUTHORS

J. Metsebo, N. Upadhyay, P. K. Kankar, B. R. Nana Nbendjo

ABSTRACT

This study has focused on the influence of rotating shaft on the dynamics of rotor-ball bearings system. A mathematical modelling of the system has been carried out by considering shaft as rotating Timoshenko beam model. The radial force of rotor unbalance varied with rotating speed. The contact between balls and races is considered as nonlinear spring, whose stiffness is obtained by using Hertzian contact deformation theory. After the modelling for shaft, the governing equation of bearing are derived. The proposed mathematical model is validated experimentally. Moreover, the proposed model is also validated with previous published studies. The bifurcation diagram and Lyapunov exponent are presented to define the state of the system as a function of rotational speed. Fast Fourier transform (FFT) and phase trajectory are used to investigate the influence of the shaft under dynamics of the system. More... »

PAGES

5339-5350

References to SciGraph publications

  • 2015-05-26. Effect of Unbalanced Rotor on the Dynamics of Cylindrical Roller Bearings in PROCEEDINGS OF THE 9TH IFTOMM INTERNATIONAL CONFERENCE ON ROTOR DYNAMICS
  • 2005. Dynamics of Rotating Systems in NONE
  • 2012-01-13. Vibration based performance prediction of ball bearings caused by localized defects in NONLINEAR DYNAMICS
  • 2008-02-16. Nonlinear response and nonsmooth bifurcations of an unbalanced machine-tool spindle-bearing system in NONLINEAR DYNAMICS
  • 2015-05-26. Nonlinear Dynamic Analysis of Ball Bearings Due to Varying Number of Balls and Centrifugal Force in PROCEEDINGS OF THE 9TH IFTOMM INTERNATIONAL CONFERENCE ON ROTOR DYNAMICS
  • 2015-08-09. Nonlinear dynamics of rub-impact on a rotor-rubber bearing system with the Stribeck friction model in JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s12206-016-1101-x

    DOI

    http://dx.doi.org/10.1007/s12206-016-1101-x

    DIMENSIONS

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