A theoretical model for predicting the vibration response of outer race defective ball bearing
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2018-03-13 https://doi.org/10.14419/ijet.v7i2.8953 -
Ball bearing, Defect, Defect frequency, Hertzian contact theory, Vibration. -
Abstract
The theoretical model with 2 degree-of-freedom system is developed for predicting the vibration response and analyze frequency properties in an extended type defective ball bearing. In the mathematical formulation, the contact between the races and rolling element considered as non-linear springs. The contact forces produced during the collaboration of rolling elements are obtained by utilizing Hertzian contact deformation hypothesis. The second order nonlinear differential equation of motion is solved using a state space variable method with the help of MATLAB software and the vibration acceleration response of the defective ball bearing presented in the frequency spectrum. The effects of variation in speed and size of the defect on characteristic frequency of extended fault on the outer raceway of the ball bearing have been investigated. The theoretical results of the healthy (non defective) and defective bearing are compared with each other.
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References
[1] R.K. Purohit and K. Purohit " Dynamic analysis of ball bearing with an effect of preload and number of balls." Applied Mechanics and Engineering, 2006, volume /11 no.1, pp 77-91.
[2] Harris, T. A., 2001, Rolling Bearing Analysis, 3rd edition Wiley, New York. 19 Genta, G., 2004, On a Persistent Misunderstanding of the Role of Hysteretic Damping in Rotor Dynamics, ASME J. Vibr. Acoustic. 126, pp. 459Ã461.
[3] McFadden P. D, Smith J. D." Model for the vibration produced by a single point defect in a rolling element bearing."Journal of Sound and Vibration 1983; 96(1):69–82.
[4] McFadden P. D, Smith J. D. "Model for the vibration produced by multiple point defects in a rolling element bearing." Journal of Sound and Vibration 1984;98(2):263–73.
[5] Tandon N. Choudhury A. “An analytical model for the prediction of the vibration response of rolling element bearings due to a localized defect." Journal of Sound and Vibration 1997; 205(3):275–92.
[6] Tandon N, Choudhury A. "A theoretical model to predict vibration response of rolling bearings to extended defects under radial load. “Journal of Vibrations and Acoustics†1998; l20:214–20.
[7] N. Tandon and A. Choudury, "Vibration response of rolling element bearings in rotor bearing system to a local defect under radial load." Journal of Tribology, 252/ Vol. 128, (2006)
[8] M.S. Patil et.al. ‘‘A theoretical model to predict the effect of the localized defect on vibrations associated with ball bearing,†International Journal of Mechanical Sciences 52 (2010) 1193–1201.
[9] V.N. Patel, et al. “Vibration studies of dynamically loaded deep groove ball bearings in presence of local defects on races,†precede Engineering 64 (2010) 1582-1591.
[10] Jairo A. Grajales, Juan F. Lopez " Ball bearing model: Development and experimental validation," Ingemeriay competitive idea volume 16, 2p, 279-288 (2014)
[11] Vikram V. Nagale and M. S. Kirkire, "A Mathematical Model to Determine Sensitivity of Vibration Signals for Localized Defects and to Find Effective Number of Balls in Ball Bearing," 2014 IJEDR | Volume 2, Issue 3 | ISSN: 2321-9939
[12] N. Sawalhi and R.B. Randall, “Simulation of the vibrations produced by extended bearing faults in gearboxesâ€, Proceedings of ACOUSTICS, 2006, pp. 541-548.
[13] Dick Petersen Sarabjeet singh," Analysis of bearing stiffness variations, contact forces and vibrations in a radially loaded double row rolling element bearings with raceway defects." Mechanical system and signal processing, http://dx.doi.org/10.1016/j.ymssp. 2014.04.014.
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How to Cite
Shaikh, S., & Kulkarni, S. (2018). A theoretical model for predicting the vibration response of outer race defective ball bearing. International Journal of Engineering & Technology, 7(2), 289-295. https://doi.org/10.14419/ijet.v7i2.8953Received date: 2017-12-29
Accepted date: 2018-03-07
Published date: 2018-03-13