Abstract

Rolling bearings accomplishes a smoother force transmission between relative components of high production volume systems. An impending fault may cause system malfunction and its maturation lead to a catastrophic failure of the system that increases the possibility of unscheduled maintenance or an expensive shutdown. These critical states demand a robust failure diagnosis scheme for bearings. The present paper demonstrates a novel way to develop a dynamic model for the rotor-bearing system using dimensional analysis (DA) considering significant geometric, operating, and thermal parameters of the system. The vibration responses of faulty spherical roller bearings are investigated under various operating conditions for validation of the developed model. Multivariable regression analysis is performed to expose the potential of the approach in the detection of the bearing failure. Results obtained unveil the simple and reliable nature of the dynamic modeling using DA.

References

References
1.
Tandon
,
N.
, and
Nakra
,
B. C.
,
1993
, “
Detection of Defects in Rolling Element Bearings by Vibration Monitoring
,”
J. Inst. Eng. Mech. Eng. Div.
,
73
(
5
), pp.
271
282
.
2.
Tandon
,
N.
, and
Choudhury
,
A.
,
1999
, “
A Review of Vibration and Acoustic Measurement Methods for the Detection of Defects in Rolling Element Bearings
,”
Tribol. Int.
,
32
(
8
), pp.
469
480
. 10.1016/S0301-679X(99)00077-8
3.
Choy
,
F. K.
,
Zhou
,
J.
, and
Braun
,
M. J.
,
2005
, “
Vibration Monitoring and Damage Quantification of Faulty Ball Bearings
,”
ASME J. Tribol.
,
127
(
4
), pp.
776
783
. 10.1115/1.2033899
4.
Villwock
,
S.
, and
Pacas
,
M.
,
2007
, “
Rolling Bearing Condition Monitoring Based on Frequency Response Analysis
,”
IEEE
,
5
(
7
), pp.
29
35
.
5.
McFadden
,
P. D.
, and
Smith
,
J. D.
,
1984
, “
Vibration Monitoring of Roller Element Bearings by the High-Frequency Resonance Technique—A Review
,”
Tribol. Int.
,
17
(
1
), pp.
03
10
. 10.1016/0301-679X(84)90076-8
6.
Sheen
,
Y.-T.
,
2007
, “
An Analysis Method for the Vibration Signal With Amplitude Modulation in a Bearing System
,”
J. Sound Vib.
,
303
(
3–5
), pp.
538
552
. 10.1016/j.jsv.2007.01.035
7.
Dalpiaz
,
G.
,
Rivola
,
A.
, and
Rubini
,
R.
,
2000
, “
Effectiveness, and Sensitivity of Vibration Processing Techniques for Local Fault Detection in Gears
,”
Mech. Syst. Signal Process.
,
14
(
3
), pp.
387
412
. 10.1006/mssp.1999.1294
8.
Yesilyurt
,
I.
,
1997
, “
Gear Fault Detection and Severity Assessment Using Vibration Analysis
,”
Ph.D. thesis
,
The University of Manchester
,
Manchester
.
9.
Mori
,
K.
,
Kasashima
,
N.
,
Yoshioka
,
T.
, and
Ueno
,
Y.
,
1996
, “
Prediction of Spalling on a Ball Bearing by Applying the Discrete Wavelet Transform to Vibration Signals
,”
Wear
,
195
(
1–2
), pp.
162
168
. 10.1016/0043-1648(95)06817-1
10.
Prabhakar
,
S.
,
Mohanty
,
A. R.
, and
Sekhar
,
A. S.
,
2002
, “
Application of Discrete Wavelet Transform For Detection of Ball Bearing Race Faults
,”
Tribol. Int.
,
35
(
12
), pp.
793
800
. 10.1016/S0301-679X(02)00063-4
11.
Purushothama
,
V.
,
Narayanana
,
S.
, and
Prasad
,
S. A. N.
,
2005
, “
Multi-Fault Diagnosis of Rolling Bearing Elements Using Wavelet Analysis and Hidden Markov Model-Based Fault Recognition
,”
NDT&E Int.
,
38
(
8
), pp.
654
664
. 10.1016/j.ndteint.2005.04.003
12.
McFadden
,
P. D.
, and
Smith
,
J. D.
,
1984
, “
Model for the Vibration Produced by a Single Point Defect in a Rolling Element Bearing
,”
J. Sound Vib.
,
96
(
1
), pp.
69
82
. 10.1016/0022-460X(84)90595-9
13.
Choudhury
,
A.
, and
Tandon
,
N.
,
2006
, “
A Theoretical Model Developed for a Localized Defect in Various Bearing Elements in a Rotor-Bearing System Under Radial Load Conditions
,”
ASME J. Tribol.
,
128
(
2
), pp.
252
261
. 10.1115/1.2164467
14.
Tandon
,
N.
, and
Choudhury
,
A.
,
2000
, “
A Theoretical Model to Predict the Vibration Response of Rolling-Element Bearing in a Rotor-Bearing System to Distributed Defects Under Radial Load
,”
ASME J. Tribol
,
122
(
3
), pp.
609
615
. 10.1115/1.555409
15.
Patil
,
M. S.
,
Mathew
,
J.
,
Rajendrakumar
,
P. K.
, and
Desai
,
S.
,
2010
, “
A Theoretical Model to Predict the Effect of Localized Defect on Vibrations Associated with Ball Bearing
,”
Int. J. Mech. Sci.
,
52
(
9
), pp.
1193
1201
. 10.1016/j.ijmecsci.2010.05.005
16.
Su
,
Y.-T.
,
Lin
,
M.-H.
, and
Lee
,
M.-S.
,
1993
, “
The Effect of Surface Irregularities on Roller Bearing Vibrations
,”
J. Sound Vib.
,
162
(
3
), pp.
455
466
. 10.1006/jsvi.1993.1270
17.
Harsha
,
S. P.
,
Kumar
,
S.
, and
Prakash
,
R.
,
2004
, “
Non-linear Dynamic Behaviors of Rolling Element Bearings Due to Surface Waviness
,”
J. Sound Vib.
,
272
(
3–5
), pp.
557
580
. 10.1016/S0022-460X(03)00384-5
18.
Kıral
,
Z.
, and
Karagulle
,
H.
,
2006
, “
Vibration Analysis of Rolling Element Bearings With Various Defects Under the Action of an Unbalanced Force
,”
Mech. Syst. Signal Process.
,
20
(
8
), pp.
1967
1991
. 10.1016/j.ymssp.2005.05.001
19.
Arslan
,
H.
, and
Akturk
,
N.
,
2008
, “
An Investigation of Rolling Element Vibrations Caused by Local Defects
,”
ASME, J. Tribol.
,
130
(
4
), p.
041101
. 10.1115/1.2958070
20.
Rafsanjania
,
A.
,
Abbasiona
,
S.
,
Farshidianfarb
,
A.
, and
Moeenfardc
,
H.
,
2009
, “
Nonlinear Dynamic Modeling of Surface Defects in Rolling Element Bearing Systems
,”
J. Sound Vib.
,
319
(
3–5
), pp.
1150
1174
. 10.1016/j.jsv.2008.06.043
21.
Patel
,
V. N.
,
Tandon
,
N.
, and
Pandey
,
R. K.
,
2010
, “
A Dynamic Model for Vibration Studies of Deep Groove Ball Bearings Considering Single and Multiple Defects in Races
,”
ASME J. Tribol.
,
132
(
4
), p.
041101
. 10.1115/1.4002333
22.
Behzad
,
M.
,
RohaniBastami
,
A.
, and
Mba
,
D.
,
2011
, “
A New Model for Estimating Vibrations Generated in the Defective Rolling Element Bearings
,”
ASME J. Vib. Acoust.
,
133
(
4
), pp.
1
8
. 10.1115/1.4003595
23.
Hao
,
W.
,
Qiongl
,
Z.
,
Zhiming
,
Z.
, and
Qi
,
A.
,
2012
, “
Vibration Analysis on the Rolling Element Bearing-Rotor System of an air Blower
,”
J. Mech. Sci. Technol.
,
26
(
3
), pp.
653
659
. 10.1007/s12206-011-1201-6
24.
Ghalamchi
,
B.
,
Sopanen
,
J.
, and
Mikkola
,
A.
,
2013
, “
Simple and Versatile Dynamic Model of Spherical Roller Bearing
,”
Int. J. Rotating Mach.
,
2013
(
9
), pp.
1
13
. 10.1155/2013/567542
25.
Ghalamchi
,
B.
,
Sopanen
,
J.
, and
Mikkola
,
A.
,
2016
, “
Modeling and Dynamic Analysis of Spherical Roller Bearing With Localized Defects
,”
Shock Vib.
,
2016
(
1
), p.
2106810
. 10.1155/2016/2106810
26.
Xing
,
Y.
,
Xu
,
H.
,
Pei
,
S.
,
Chen
,
X.
, and
Liu
,
X.
,
2016
, “
A Novel Non-Hertzian Contact Model of Spherical Roller Bearings
,”
Proc. Inst. Mech. Eng., Part J
,
230
(
1
), pp.
3
13
. 10.1177/1350650115584428
27.
Xing
,
Y.
,
Xu
,
H.
,
Pei
,
S.
,
Zhang
,
X.
, and
Chang
,
W.
,
2017
, “
Mechanical Analysis of Spherical Roller Bearings Due to Misalignments Between Inner and Outer Rings
,”
J. Mech. Eng. Sci.
,
231
(
17
), pp.
3250
3262
. 10.1177/0954406216643108
28.
Miragliotta
,
G.
,
2011
, “
The Power of Dimensional Analysis in Production Systems Design
,”
Int. J. Prod. Econ.
,
131
(
1
), pp.
175
182
. 10.1016/j.ijpe.2010.08.009
29.
Desavale
,
R. G.
,
Venkatachalam
,
R.
, and
Chavan
,
S. P.
,
2013
, “
Antifriction Bearings Damage Analysis Using Experimental Data Based Models
,”
ASME J. Tribol.
,
135
(
4
), p.
041105
. 10.1115/1.4024638
30.
Desavale
,
R. G.
,
Venkatachalam
,
R.
, and
Chavan
,
S. P.
,
2014
, “
Experimental and Numerical Studies on Spherical Roller Bearings Using Multivariable Regression Analysis
,”
J. Vib. Acoust.
,
136
(
2
), p.
021022
. 10.1115/1.4026433
31.
Jamadar
,
I. M.
, and
Vakharia
,
D. P.
,
2016
, “
A Novel Approach Integrating Dimensional Analysis and Neural Networks for the Detection of Localized Faults in Roller Bearings
,”
Measurement
,
94
(
1
), pp.
177
185
. 10.1016/j.measurement.2016.07.086
32.
Desavale
,
R. G.
,
2018
, “
Dynamics Characteristics and Diagnosis of a Rotor-Bearing's System Through a Dimensional Analysis Approach: An Experimental Study
,”
ASME J. Comput. Nonlinear Dyn.
,
14
(
1
), p.
014501
. 10.1115/1.4041828
33.
SKF Group
,
2018
,
Roller Bearing Catalogue
.
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