A General Method for the Modeling of Spindle-Bearing Systems

[+] Author and Article Information
Yuzhong Cao, Yusuf Altintas

Department of Mechanical Engineering, University of British Columbia, Vancouver, BC V6T 1Z4, Canada

J. Mech. Des 126(6), 1089-1104 (Feb 14, 2005) (16 pages) doi:10.1115/1.1802311 History: Received June 24, 2003; Revised March 01, 2004; Online February 14, 2005
Copyright © 2004 by ASME
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Finite element model for the spindle-bearing system
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Deformed and undeformed beam in the x−y plane
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Geometry of an angular contact ball bearing
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Displacement relations between curvature centers
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The forces acting on the bearing ball
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The influence of bearing preload on the axial displacement and bearing stiffness
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The influence of bearing preload on contact angles and contact forces of bearings
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Impact force in the radial direction at the spindle node
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Impact response measured and simulated in the radial direction at the spindle node
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Measured and simulated frequency response function in the radial direction at the spindle node
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The influence of bearing preload on the natural frequencies
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The influence of preload and spindle speed on stiffness, contact angles, and contact forces of the bearing
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The influence of centrifugal force and gyroscopic moment of spindle shaft on natural frequencies
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The influence of spindle speed on natural frequencies



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