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Research Papers

Fault Diagnosis of High Speed Rolling Element Bearings Due to Localized Defects Using Response Surface Method

[+] Author and Article Information
P. K. Kankar

Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee 247 667, Indiapavankankar@gmail.com

Satish C. Sharma

Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee 247 667, Indiasshmefme@iitr.ernet.in

S. P. Harsha

Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee 247 667, Indiasurajfme@iitr.ernet.in

J. Dyn. Sys., Meas., Control 133(3), 031007 (Mar 24, 2011) (14 pages) doi:10.1115/1.4003371 History: Received September 30, 2009; Revised October 21, 2010; Published March 24, 2011; Online March 24, 2011

In this paper, fault diagnosis of high speed rolling element bearings due to localized defects using response surface method has been done. The localized defects as spalls on outer race, on inner race, and on rolling elements are considered for this study. The mathematical formulation accounted for tangential motions of rolling elements and inner and outer races with the sources of nonlinearity such as Hertzian contact force and internal radial clearance. The nonlinear stiffness is obtained by the application of Hertzian elastic contact deformation theory. The mathematical formulation predicts discrete spectrum having peaks at the characteristic defect frequencies and their harmonics. Experimentation has also been performed to validate the results obtained from the mathematical model and it shows that the model can be successfully used to predict amplitude ratios among various spectral lines with localized surface defects. Combined parametric effects have been analyzed and their influence has been considered with design of experiments and surface response methodology is used to predict the dynamic response of a rotor bearing system.

Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Schematic diagram of a rolling element bearing

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Figure 2

Experimental setup with defective and nondefective bearings

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Figure 3

Outer race with spall

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Figure 4

Inner race with spall

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Figure 6

Flow chart for RSM

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Figure 7

Response plot for rotor speed 1000 rpm supported on healthy bearings (trial 1)

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Figure 8

Response plot for rotor speed 1000 rpm supported on bearings with outer race defect (trial 2)

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Figure 9

Response plot for rotor speed 1000 rpm supported on bearings with inner race defect (trial 3)

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Figure 10

Response plot for rotor speed 1000 rpm supported on bearings with ball defect (trial 4)

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Figure 11

Response plot for rotor speed 5000 rpm supported on healthy bearings (trial 5)

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Figure 12

Response plot for rotor speed 5000 rpm supported on bearings with outer race defect (trial 6)

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Figure 13

Response plot for rotor speed 5000 rpm supported on bearings with inner race defect (trial 7)

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Figure 14

Response plot for rotor speed 5000 rpm supported on bearings with ball defect (trial 8)

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Figure 15

The performance prediction: (a) horizontal and (b) vertical acceleration response

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Figure 16

Response surfaces showing interaction of (a) parameters A and B, (b) parameters A and C, (c) parameters B and C, (d) parameters A and D, and (e) parameters B and D

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Figure 17

Response surfaces showing interaction of (a) parameters A and B, (b) parameters A and C, (c) parameters B and C, (d) parameters B and D, and (e) parameters C and D

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