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Research Papers

A New Model for Estimating Vibrations Generated in the Defective Rolling Element Bearings

[+] Author and Article Information
Mehdi Behzad1

Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iranm_behzad@sharif.edu

Abbas Rohani Bastami

Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

David Mba

School of Engineering, Cranfield University, Cranfield, Bedfordshire MK43 0AL, UK

1

Corresponding author.

J. Vib. Acoust 133(4), 041011 (Apr 11, 2011) (8 pages) doi:10.1115/1.4003595 History: Received December 21, 2009; Revised November 22, 2010; Published April 11, 2011; Online April 11, 2011

Prediction of the vibration response due to defects on rolling element bearings requires having an accurate representative vibration model. In this paper, a new model for vibration generation in the rolling element bearings has been introduced. The proposed model assumes a stochastic source of vibration excitation, which is produced as a result of metallic contact between bearing elements during rolling. This model explains high frequency vibration in the acceleration spectrum clearly. When a defect grows in the bearing, the roughness of the contacting surfaces increases locally and stochastic excitation becomes stronger in the defective area. The increased vibration level at the defective area is a good indicator of bearing faults. A numerical simulation of the proposed model was validated with experimental results.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 8

Experimental setup for bearing test

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Figure 9

Time signal of rolling bearing vibration: (a) stochastic model, (b) impulse train model, and (c) experimental data

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Figure 7

(a) Force acting on a single ball and (b) vibration generated by a single ball during one rotation of cage with a defect on the outer race

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Figure 6

Mode shapes of a circular ring vibration

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Figure 5

Schematic of excitation and response in the rolling element bearing

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Figure 4

Geometry of a rolling element bearing

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Figure 3

Definition of defect ratio in the rolling bearings

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Figure 2

Rolling contact force: (a) single summit force, (b) total contact force, (c) covariance function, (d) frequency spectrum of force, and (e) probability density function fitting

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Figure 1

The global contact patch in the elastic microcontact model consists of a certain number of statistically distributed similar contacts at summits (17)

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Figure 10

Vibration spectrum of the (a) stochastic model, (b) impulse train model, and (c) experimental data

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Figure 11

Envelope spectra of the acceleration signal of (a) stochastic model, (b) impulse train model, and (c) experimental data

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