Improved model of a ball bearing for the simulation of vibration signals due to faults during run-up

In this paper an improved bearing model is developed in order to investigate the vibrations of a ball bearing during run-up. The numerical bearing model was developed with the assumptions that the inner race has only 2 DOF and that the outer race is deformable in the radial direction, and is modelled with finite elements. The centrifugal load effect and the radial clearance are taken into account. The contact force for the balls is described by a nonlinear Hertzian contact deformation. Various surface defects due to local deformations are introduced into the developed model. The detailed geometry of the local defects is modelled as an impressed ellipsoid on the races and as a flattened sphere for the rolling balls. With the developed bearing model the transmission path of the bearing housing can be taken into account, since the outer ring can be coupled with the FE model of the housing. The obtained equations of motion were solved numerically with a modified Newmark time-integration method for the increasing rotational frequency of the shaft. The simulated vibrational response of the bearing with different local faults was used to test the suitability of the envelope analysis technique and the continuous wavelet transformation was used for the bearing-fault identification and classification.

[1]  Gajbir Singh,et al.  A two‐noded locking–free shear flexible curved beam element , 1999 .

[2]  C. S. Sunnersjö.  Varying compliance vibrations of rolling bearings , 1978 .

[3]  T. A. Harris,et al.  Rolling Bearing Analysis , 1967 .

[4]  S. Harsha.  Nonlinear dynamic analysis of rolling element bearings due to cage run-out and number of balls , 2006 .

[5]  N. Tandon,et al.  A review of vibration and acoustic measurement methods for the detection of defects in rolling element bearings , 1999 .

[6]  Eric J. Hahn,et al.  Transient rotordynamic modeling of rolling element bearing systems , 2001 .

[7]  H. Karagülle,et al.  Simulation and analysis of vibration signals generated by rolling element bearing with defects , 2003 .

[8]  Robert B. Randall,et al.  USING TRANSIENT ANALYSIS SOFTWARE TO SIMULATE VIBRATION SIGNALS DUE TO ROLLING ELEMENT BEARING DEFECTS , 2002 .

[9]  Aki Mikkola,et al.  Dynamic model of a deep-groove ball bearing including localized and distributed defects. Part 2: Implementation and results , 2003 .

[10]  Hamid Moeenfard,et al.  Nonlinear dynamic modeling of surface defects in rolling element bearing systems , 2009 .

[11]  Ahsan Kareem,et al.  Efficacy of Hilbert and Wavelet Transforms for Time-Frequency Analysis , 2006 .

[12]  Aki Mikkola,et al.  Dynamic model of a deep-groove ball bearing including localized and distributed defects. Part 1: Theory , 2003 .

[13]  M. Cao,et al.  A comprehensive dynamic model of double-row spherical roller bearing—Model development and case studies on surface defects, preloads, and radial clearance , 2008 .

[14]  Nizami Aktürk,et al.  An Investigation of Rolling Element Vibrations Caused by Local Defects , 2008 .

[15]  Janko Slavič,et al.  Typical bearing-fault rating using force measurements: application to real data , 2011 .

[16]  P. D. McFadden,et al.  Model for the vibration produced by a single point defect in a rolling element bearing , 1984 .

[17]  S. P. Harsha,et al.  Nonlinear dynamic analysis of an unbalanced rotor supported by roller bearing , 2005 .

[18]  Robert X. Gao,et al.  Non-stationary signal processing for bearing health monitoring , 2006, Int. J. Manuf. Res..

[19]  S. P. Harsha,et al.  The effect of ball size variation on nonlinear vibrations associated with ball bearings , 2004 .

[20]  N. Tandon,et al.  Vibration Response of Rolling Element Bearings in a Rotor Bearing System to a Local Defect Under Radial Load , 2006 .

[21]  N. Tandon,et al.  An analytical model for the prediction of the vibration response of rolling element bearings due to a localized defect , 1997 .

[22]  P. D. McFadden,et al.  The vibration produced by multiple point defects in a rolling element bearing , 1985 .