Bearing induced vibration in precision high speed routing spindles

Abstract This paper presents a detailed model of bearing vibration, including the effect of contact spring non-linearity in balls-to-raceways' contacts. The model incorporates the effect of surface waviness of rolling elements and off-sized balls upon the dynamic internal radial clearance of the bearing. The vibration forces and moments generated are formulated and the significant principal and secondary side-band contributions are highlighted. This model is employed successfully in the recognition of complex real-time vibration spectra of a precision routing spindle, obtained by accurate non-contact sensors.

[1]  Kryzysztof Jemielniak,et al.  Modelling of dynamic cutting coefficients in three-dimensional cutting , 1992 .

[2]  K. Johnson,et al.  Fluid Film Damping of Rolling Contact Vibrations , 1975 .

[3]  S. J. Lacey,et al.  Dynamic and static characteristics of a wide speed range machine tool spindle , 1983 .

[4]  K. F. Eman,et al.  A Feasibility Study of On-Line Identification of Chatter in Turning Operations , 1980 .

[5]  F P Wardle,et al.  Vibration Forces Produced by Waviness of the Rolling Surfaces of Thrust Loaded Ball Bearings Part 1: Theory , 1988 .

[6]  Ruxu Du,et al.  In-process monitoring of tool wear in milling using cutting force signature , 1991 .

[7]  Homer Rahnejat,et al.  The Vibrations of Radial Ball Bearings , 1985 .

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

[9]  F P Wardle,et al.  Vibration Forces Produced by Waviness of the Rolling Surfaces of Thrust Loaded Ball Bearings Part 2: Experimental Validation , 1988 .

[10]  Ibrahim N. Tansel,et al.  The chaotic characteristics of three dimensional cutting , 1992 .

[11]  Homer Rahnejat,et al.  A five degrees of freedom analysis of vibrations in precision spindles , 1990 .

[12]  Homer Rahnejat,et al.  Computational modelling of precision spindles supported by ball bearings , 1988 .

[13]  Homer Rahnejat,et al.  An Experimental Investigation into Bearing-Induced Spindle Vibration , 1995 .

[14]  Homer Rahnejat,et al.  Computational modelling of problems in contact dynamics , 1985 .

[15]  H. Rahnejat,et al.  Vibration response of wavy surfaced disc in elastohydrodynamic rolling contact , 1990 .

[16]  A. Pollock.  Acoustic emission - 2: Acoustic emission amplitudes , 1973 .

[17]  L. D. Meyer,et al.  An Analytic Model for Ball Bearing Vibrations to Predict Vibration Response to Distributed Defects , 1980 .