A theoretical investigation is undertaken to evaluate the effects of a number of support bearings, bearing settings and preload on the system natural frequencies and amplitudes of vibration of a spindle assembly supported by angular contact ball-bearings. The paper presents a generalized system of non-linear second-order ordinary differential equations for analysing multi-support spindle-bearing assemblies. The ball to raceway contacts are described by the Hertzian equation representing the non-linear elastic deformation of the rolling elements. The results show how significant frequencies and amplitudes vary with number of support bearings, orientations and preload.
JorgensenB. R.ShinY. C.Dynamics of machine tool spindle/bearing systems under thermal growthTrans. ASME, J. Tribology, 1997, 119, 875–882.
2.
WardleF. P.PoonS. Y.Rolling Bearing Noise—Cause and Cure, July-August 1983 (CME).
3.
WardleF. P.Vibration forces produced by waviness of the rolling surfaces of thrust loaded ball bearings. Part 1: TheoryProc. Instn Mech. Engrs, Part C, J. Mechanical Engineering Science, 1988, 202 (C5), 305–312.
4.
WardleF. P.Vibration forces produced by waviness of the rolling surfaces of thrust loaded ball bearings. Part 2: Experimental validationProc. Instn Mech. Engrs, Part C, J. Mechanical Engineering Science, 1988, 202 (C5), 313–319.
5.
SuanersjoC. S.Variable compliance vibrations of rolling bearingsJ. Sound Vibr., 1978, 58 (3).
6.
AiniR.Vibration monitoring and modelling of shaft/bearing assemblies under concentrated elastohydrodynamic conditions. PhD thesis, Kingston University, January 1990.
7.
AiniR.Precision spindle simulation In 2nd International Conference on Computational Methods in Contact Mechanics 95, Ferrara, Italy, 1995.
8.
AiniR.RahnejatH.GoharR.Vibration modelling of precision spindles supported by lubricated bearingsTrans. ASME, J. Tribology April (accepted for publication).
9.
YhlandE.A linear theory of vibrations caused by ball bearings with form errors operating at moderate speedTrans. ASME, J. Tribology, April 1992, 114, 348–359.
10.
GoharR.AkturkN.Vibrations associated with ball-bearings In IMechE Conference on Multi-Body Dynamics, London, 1998.
11.
AiniR.RahaejatH.GoharR.A five degrees of freedom analysis of vibrations in precision spindlesInt. J. Mach. Tools Mf., 1990, 30 (1), 1–18.
12.
RahnejatH.GoharR.The vibrations of radial ball-bearingsProc. Instn Mech. Engrs, Part C, J. Mechanical Engineering Science, 1985, 199 (C3), 181–193.
