Effects of axial preload of ball bearing on the nonlinear dynamic characteristics of a rotor-bearing system

Abstract This research studies the effects of axial preload on nonlinear dynamic characteristics of a flexible rotor supported by angular contact ball bearings. A dynamic model of ball bearings is improved for modeling a five-degree-of-freedom rotor bearing system. The predicted results are in good agreement with prior experimental data, thus validating the proposed model. With or without considering unbalanced forces, the Floquet theory is employed to investigate the bifurcation and stability of system periodic solution. With the aid of Poincarè maps and frequency response, the unstable motion of system is analyzed in detail. Results show that the effects of axial preload applied to ball bearings on system dynamic characteristics are significant. The unstable periodic solution of a balanced rotor bearing system can be avoided when the applied axial preload is sufficient. The bifurcation margins of an unbalanced rotor bearing system enhance markedly as the axial preload increases and relates to system resonance speed.

[1]  A. B. Jones.  A General Theory for Elastically Constrained Ball and Radial Roller Bearings Under Arbitrary Load and Speed Conditions , 1960 .

[2]  G. Jang,et al.  Nonlinear excitation model of ball bearing waviness in a rigid rotor supported by two or more ball bearings considering five degrees of freedom , 2001 .

[3]  P. K. Gupta,et al.  Dynamics of Rolling-Element Bearings—Part I: Cylindrical Roller Bearing Analysis , 1979 .

[4]  G. H. Jang,et al.  Analysis of a Ball Bearing With Waviness Considering the Centrifugal Force and Gyroscopic Moment of the Ball , 2003 .

[5]  P. K. Kankar,et al.  Stability analysis of a rotor bearing system due to surface waviness and number of balls , 2004 .

[6]  T. E. Tallian,et al.  Ball bearing lubrication: The elastohydrodynamics of elliptical contacts , 1982 .

[7]  O. Prakash,et al.  EFFECT OF RADIAL INTERNAL CLEARANCE OF A BALL BEARING ON THE DYNAMICS OF A BALANCED HORIZONTAL ROTOR , 2000 .

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

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

[10]  Ravi Prakash,et al.  The effect of speed of balanced rotor on nonlinear vibrations associated with ball bearings , 2003 .

[11]  J. M. de Mul,et al.  Equilibrium and Associated Load Distribution in Ball and Roller Bearings Loaded in Five Degrees of Freedom While Neglecting Friction—Part I: General Theory and Application to Ball Bearings , 1989 .

[12]  David E. Brewe,et al.  Simplified Solution for Elliptical-Contact Deformation Between Two Elastic Solids , 1977 .

[13]  S. Saito,et al.  Calculation of Nonlinear Unbalance Response of Horizontal Jeffcott Rotors Supported by Ball Bearings With Radial Clearances , 1985 .

[14]  Xu Qingyu,et al.  Dynamic model of ball bearings with internal clearance and waviness , 2006 .

[15]  R. Gohar,et al.  The effects of number of balls and preload on vibrations associated with ball bearings , 1997 .

[16]  Abdallah A. Elsharkawy,et al.  Effects of axial preloading of angular contact ball bearings on the dynamics of a grinding machine spindle system , 2003 .

[17]  O. Prakash,et al.  DYNAMIC RESPONSE OF AN UNBALANCED ROTOR SUPPORTED ON BALL BEARINGS , 2000 .