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Research Papers: Applications

A Dynamic Model for Vibration Studies of Deep Groove Ball Bearings Considering Single and Multiple Defects in Races

[+] Author and Article Information
V. N. Patel1

Industrial Tribology, Machine Dynamic, and Maintenance Engineering Centre (ITMMEC), IIT Delhi, New Delhi 110 016, Indiavinodgcet1@gmail.com

N. Tandon, R. K. Pandey

Industrial Tribology, Machine Dynamic, and Maintenance Engineering Centre (ITMMEC), IIT Delhi, New Delhi 110 016, India

1

Corresponding author.

J. Tribol 132(4), 041101 (Oct 07, 2010) (10 pages) doi:10.1115/1.4002333 History: Received May 06, 2010; Revised July 22, 2010; Published October 07, 2010; Online October 07, 2010

A dynamic model is reported herein for the study of vibrations of deep groove ball bearings having single and multiple defects on surfaces of inner and outer races. Masses of shaft, housing, races, and balls are considered in the modeling. The coupled solution of governing equations of motions is obtained using Runge–Kutta method. The model provides the vibrations of shaft, balls, and housing in time and frequency domains. Computed results from the model are validated with experimental results, which are generated using healthy and defective deep groove ball bearings. Characteristic defect frequencies and its harmonics are broadly investigated using both theoretical and experimental results. Comparison of vibration spectra for the cases having single and two defects on races reveals relatively higher velocity amplitudes with two defects. Good correlations between theoretical and experimental results are observed. Authors believe that this dynamic model can be used with confidence for the study and prediction of vibrations of healthy and defective deep groove ball bearings.

Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic diagram of shaft bearing system under study with coordinate: (a) experimental setup, (b) enlarged view of test bearing, and (c) free body diagram of modeled components

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Figure 2

Radial deflection at a rolling element position

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Figure 3

Load distribution in ball bearing and nomenclature: (a) load distribution in a ball bearing and (b) nomenclature of ball bearing for present simulation

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Figure 4

Defect and deflection details: (a) schematic position of the defects, (b) representation of additional deflection of ball due to defect on inner race, and (c) representation of additional deflection of ball due to defect on outer race

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Figure 5

Photographic views of defects: (a) single defect on outer race and (b) two defects on inner race

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Figure 6

Flow chart for numerical computation

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Figure 7

Vibration response of defect free (healthy) bearing in radial direction (X) at shaft speed of 1500 rpm: (a) vibration of ball 8 and (b) vibration spectrum for housing

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Figure 8

Experimental vibration spectrum of housing for defect free (healthy) bearing (Ns=1500 rpm)

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Figure 9

Vibration response in radial (X) direction with defected inner race: (a) vibration of ball 8 and (b) vibration spectrum for housing

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Figure 10

Experimental velocity spectrum of housing with single defect on inner race (Ns=1500 rpm)

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Figure 11

Vibration response in radial (X) direction with two defects on inner race (Ns=1500 rpm, θdefect=30 deg): (a) vibration of ball 8, (b) vibration of ball 1, and (c) vibration spectrum for housing

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Figure 12

Experimental velocity spectrum of housing with two defects on inner race (Ns=1500 rpm, θdefect=30 deg)

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Figure 13

Vibration response in radial (X) direction with single defect on outer race: (a) vibration of ball 8 and (b) vibration spectrum for housing

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Figure 14

Experimental velocity spectrum of housing with single defect on outer race (Ns=1500 rpm)

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Figure 15

Vibration response in radial (X) direction with two defects on outer race (Ns=1500 rpm, θdefect=30 deg): (a) vibration of ball 8 and (b) vibration spectrum for housing

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Figure 16

Experimental velocity spectrum of housing with two defects on outer race (Ns=1500 rpm, θdefect=30 deg)

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