On the effects of bearing settings on the dynamic performance of a three-bearing machine tool spindle assembly

A. K. Rahman, R. Aini, R. Gohar

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

An analytical investigation of the response characteristics of a spindle unit supported by three angular contact ball bearings is presented in this paper. A general system of equations is presented utilizing the Hertzian equation for representing the non-linear elastic deformation of the rolling elements. The system of non-linear ordinary differential equations is integrated using the Runge-Kutta Fehlberg technique in Matlab. The model is used to study the effects of bearing settings and preload on the variable-compliance vibrations. The study shows that a three-bearing spindle is characterized by a beat-type mode of response with families of sidebands around the main frequency components. The modulations of the carrier and the spacing of the sidebands are shown to be affected by change in the bearing settings. This type of response is not evident in the conventional two- or four-bearing spindle units.

Original languageEnglish
Pages (from-to)133-141
Number of pages9
JournalProceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics
Volume216
Issue number2
DOIs
Publication statusPublished - 2002
Externally publishedYes

Fingerprint

Bearings (structural)
machine tools
spindles
Machine tools
assembly
sidebands
Angular contact ball bearings
ball bearings
elastic deformation
Elastic deformation
Ordinary differential equations
synchronism
differential equations
spacing
Modulation
modulation
vibration

Keywords

  • Angular contact ball bearings
  • Three-bearing spindle
  • Variable-compliance vibrations

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

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abstract = "An analytical investigation of the response characteristics of a spindle unit supported by three angular contact ball bearings is presented in this paper. A general system of equations is presented utilizing the Hertzian equation for representing the non-linear elastic deformation of the rolling elements. The system of non-linear ordinary differential equations is integrated using the Runge-Kutta Fehlberg technique in Matlab. The model is used to study the effects of bearing settings and preload on the variable-compliance vibrations. The study shows that a three-bearing spindle is characterized by a beat-type mode of response with families of sidebands around the main frequency components. The modulations of the carrier and the spacing of the sidebands are shown to be affected by change in the bearing settings. This type of response is not evident in the conventional two- or four-bearing spindle units.",
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AU - Rahman, A. K.

AU - Aini, R.

AU - Gohar, R.

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N2 - An analytical investigation of the response characteristics of a spindle unit supported by three angular contact ball bearings is presented in this paper. A general system of equations is presented utilizing the Hertzian equation for representing the non-linear elastic deformation of the rolling elements. The system of non-linear ordinary differential equations is integrated using the Runge-Kutta Fehlberg technique in Matlab. The model is used to study the effects of bearing settings and preload on the variable-compliance vibrations. The study shows that a three-bearing spindle is characterized by a beat-type mode of response with families of sidebands around the main frequency components. The modulations of the carrier and the spacing of the sidebands are shown to be affected by change in the bearing settings. This type of response is not evident in the conventional two- or four-bearing spindle units.

AB - An analytical investigation of the response characteristics of a spindle unit supported by three angular contact ball bearings is presented in this paper. A general system of equations is presented utilizing the Hertzian equation for representing the non-linear elastic deformation of the rolling elements. The system of non-linear ordinary differential equations is integrated using the Runge-Kutta Fehlberg technique in Matlab. The model is used to study the effects of bearing settings and preload on the variable-compliance vibrations. The study shows that a three-bearing spindle is characterized by a beat-type mode of response with families of sidebands around the main frequency components. The modulations of the carrier and the spacing of the sidebands are shown to be affected by change in the bearing settings. This type of response is not evident in the conventional two- or four-bearing spindle units.

KW - Angular contact ball bearings

KW - Three-bearing spindle

KW - Variable-compliance vibrations

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