Journal of Mechanical Science and Technology 33 (5) (2019) 1~6
www.springerlink.com/content/1738-494x(Print)/1976-3824(Online)
DOI 10.1007/s12206-019-0406-y
Effect of clearances in rolling element bearings on their dynamic performance,
quality and operating life
†
Mostafa Yakout
1,*
, M. G. A. Nassef
2
and Soheir Backar
2
1
Department of Mechanical Engineering, McMaster University, 1280 Main Street West, Hamilton, ON L8S 4L7, Canada
2
Production Engineering Department, Alexandria University, Alexandria, 21544, Egypt
(Manuscript Received August 19, 2018; Revised November 6, 2018; Accepted January 15, 2019)
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Abstract
The performance of rolling element bearings is one of the machine quality measures in industry. The fatigue life and performance of
rolling element bearings depends mainly on the dynamic characteristics of those bearings. This paper studied the effect of the internal
radial clearance on the damping characteristics, natural modes of vibration, and fatigue life of rolling element bearings. Vibration modal
analysis was performed on rolling bearings of the same size and type to measure their dynamic characteristics. These dynamic character-
istics include the natural frequency of the first mode of vibration, damping, and amplitude of frequency response function at resonance.
The internal radial clearances of these bearings were measured. A statistical analysis was performed to study the correlation between the
internal radial clearance and the dynamic characteristics of rolling bearings. It was found that the damping ratio of the bearing assembly
increased by reducing the internal radial clearance of the bearing. Similarly, rolling bearings that have large internal clearances showed
short predicted fatigue life. It is concluded that the dynamic characteristics, and consequently the dynamic performance, of rolling bear-
ings are significantly affected by the internal radial clearance.
Keywords: Modal analysis; Internal radial clearance; Bearing life; Dynamic load rating; Dynamic characteristics
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1. Introduction
The performance of various machinery systems depends
mainly on the dynamic characteristics of the rotating compo-
nents (e.g., rolling element bearings), because most of those
systems are subjected to dynamic cyclic loads while providing
a relative rotational motion. The selection of rolling bearings
is one of the challenges in many applications, especially cer-
tain critical applications in the aerospace industry that require
high performance [1-3]. According to the literature, rolling
bearings of the same type and size do not exhibit the same
performance under similar operating conditions. Manufactur-
ing and assembly errors, which are the main source of error in
rolling bearings, have a strong influence on the fatigue life of
rolling bearings [4-9]. The internal radial clearance affects the
load distribution, and consequently the fatigue life of rolling
bearings. Zero radial clearance bearings generally have the
highest fatigue life. The fatigue life of rolling bearings de-
creases by increasing the internal radial clearance [10-13]. The
performance and life of rolling element bearings are affected
by damping and stiffness of bearing assembly [13]. Although
the bearing manufacturers provide a formula to calculate the
fatigue life of rolling bearings, predicting the actual fatigue
life of those bearings is still one of the main challenges in
bearing research [14-17]. The Lundberg-Palmgren life theory
provides the same fatigue life index for bearings of the same
size and type. However, the dynamic response of rolling bear-
ings is affected by any variations in lubrication, clearances,
and any other assembly error [16-24]. Experimental modal
analysis has been recently used for determining the dynamic
characteristics of complex structures and for predicting the
fatigue life of single components and assembly structures [9,
25-34]. Previous research stated that these dynamic character-
istics act as the deoxyribonucleic acid (DNA) characteristics
of rolling element bearings, and represent a quality tool for
predicting the performance and operating life of those bear-
ings [9, 15, 27, 35]. Since the internal radial clearance has a
strong influence on the fatigue life of rolling bearings [20], it
is potentially expected that the internal clearance affects the
dynamic characteristics of rolling bearings. It has been re-
ported that the estimated bearing life can be enhanced by re-
ducing the internal clearance. This estimated bearing life con-
siders the rolling element size and static load (Stribeck factor)
parameters only [20]. Also, the bearing life and dynamic load
rating are affected by any variations in the dynamic character-
*
Corresponding author. Tel.: +1 905 979 4509
E-mail address: mohamemy@mcmaster.ca; yakout_mostafa@yahoo.com
†
Recommended by Associate Editor Gyuhae Park
© KSME & Springer 2019