Vibration Modeling of Rotating Spindles Supported by Lubricated Bearings

Author:

Aini R.1,Rahnejat H.2,Gohar R.3

Affiliation:

1. Rye Machinery Ltd., Lincoln Road, High Wycombe, Bucks HP12 3TR, United Kingdom

2. Department of Mechanical Engineering, University of Bradford, Bradford BD7 1DP, United Kingdom

3. Tribology Section, Department of Mechanical Engineering, Imperial College of Science and Technology, Exhibition Road, London SW7 2BX, United Kingdom

Abstract

This paper outlines a five degrees of freedom model of a rotating spindle supported by a pair of lubricated angular contact ball bearings. The ball to raceway contacts are simulated by non-linear contact springs, representing the elastic deformation of the mating rolling members and nonlinear spring/dampers, corresponding to the contact elastohydrodynamic oil film thickness. A regression formula is used to model the latter and includes the damping contributed by the squeeze film effect caused by the mutual convergence of bearing rings. Some results of simulation studies with the model are also presented, in both the time and frequency domains. They include the overall system response, when subjected to varying spindle mass or the number of balls in the support bearings. Furthermore, comparisons are made between the simulated response of the dry and lubricated models. The overall contribution to damping of the elastohydrodynamic oil films between the rolling elements and their raceways is shown to be slight.

Publisher

ASME International

Subject

Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanical Engineering,Mechanics of Materials

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