A modified formula to the already known Lundberg-Palmgren life formula is proposed for rolling element bearings. These dynamic characteristics are obtained from the frequency response function of each individual bearing that results from vibration modal analysis. A statistical analysis was performed to find an empirical model that correlates the dynamic load capacity of rolling bearings to their dynamic characteristics (Natural frequencies and damping). The experimental procedure was developed based on a statistical analysis. In this paper, the authors introduce an experimental procedure for predicting the fatigue life of each individual rolling element bearing separately using vibration modal analysis. It is concluded that the dynamic characteristics, and consequently the dynamic performance, of rolling bearings are significantly affected by the internal radial clearance. Similarly, rolling bearings that have large internal clearances showed short predicted fatigue life. It was found that the damping ratio of the bearing assembly increased by reducing the internal radial clearance of the bearing. A statistical analysis was performed to study the correlation between the internal radial clearance and the dynamic characteristics of rolling bearings. The internal radial clearances of these bearings were measured. These dynamic characteristics include the natural frequency of the first mode of vibration, damping, and amplitude of frequency response function at resonance. Vibration modal analysis was performed on rolling bearings of the same size and type to measure their dynamic characteristics. 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. The fatigue life and performance of rolling element bearings depends mainly on the dynamic characteristics of those bearings. The performance of rolling element bearings is one of the machine quality measures in industry.
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