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S. M. Patil et al.
effect of defect in terms of the amplitude of vibration. The comparison of experimental analysis and mathematical model for both inner race and outer race shows
good agreement. It shows that the vibration amplitude increases as speed and load
increases. In addition, it is observed that inner race defect has significant vibration
amplitude than outer race defect. Both circular and square defects have dominant
effect on rotor bearing system.
Keywords Rolling element bearing · Circular and square defect · Vibration
amplitude
1 Introduction
The most widely used component in industry is rolling element bearings. There
is a powerful influence of rolling element bearings on dynamic behavior of the
rotating machines and on the vibration and noise source. To avoid the catastrophic
failure of machinery, need to increases a reliability and performances of a system.
Defects in bearings may arise during use or during the manufacturing process. Special
methods are used for recognition and diagnosis of bearing imperfections. Mathematical modeling along with experimentation methods provides progressively more
exact move toward the prediction of dynamic performance of the systems that include
antifriction bearings.
2 Literature Review
Rafsanjani et al. [1] developed a numerical model using non-dynamic behavior of
rotor-bearing system for surface defect. Equation of motion has been solved using
Newmark time integration technique. Bai et al. [2] developed a 6 DOF rotor dynamic
model using Hertzian contact forces, ball bearing nonlinearity, internal bearing clearance, and bending vibration of rotor. Sinou et al. [3] studied a nonlinear behavior
of rolling contact bearing by harmonic balance method with a condensation procedure. Ghafari et al. [4] use Hertzian contact theory to represent a stiffness of rolling
element bearing using a lumped mass-damper-spring model. Nonato et al. [5] investigated new approach for characterization of the elasto-hydrodynamic lubricated
point contacts, coupled lubrication deformation problem, and Newmark-ß integrator
of the motion equation for the contact system. Desavale et al. [6] developed empirical
model with experimental model based data and artificial neural network for condition monitoring of the rotor system. Authors concluded that speed, defect size, load,
clearance, and unbalance affect significantly on the performance of rotor-bearing
system. Desavale et al. [7] developed model based on experimentation to highlight
the damage in bearing component. This paper suggests that experimental data based
model (EDBM) is the tool, which point out the possible defect and size of defect at
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