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Review of Energy Technologies and Policy Research

December 2014, Volume 1, 2, pp 56-68

Improved Analytical Approach of Vibration Behavior Destined To Ball Bearings in The Case of Angular Contact

El Had Khalid


Hachim Abdelilah


Chouairi Asmaa


EL Ghorba Mohamed

El Had Khalid 1 Hachim Abdelilah 1 

Chouairi Asmaa 3 EL Ghorba Mohamed 3 

  1. Laboratory of Control and Mechanical Characterization of Materials and of Structures, National School of electrical and mechanical, Hassan II University, Higher Institute of Maritime Studies, Department of Machinery, Hassan II University, Morocco 1

  2. Laboratory of Control and Mechanical Characterization of Materials and of Structures, National School of electrical and mechanical, Hassan II University, Casablanca, Morocco 3

Pages: 56-68

DOI: 10.18488/journal.77/2014.1.2/

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In recent years many developments have been made in the area of the vibration behavior of the supported by bearings or journal bearings rotating shafts. The results, if they are generally acceptable for common-use in terms of operating conditions, are far from meeting the aircraft industry, where the machining at high speeds is an undeniable need.
This research therefore is aimed to provide an analytical simulation based on theoretical developments of the vibration response of a ball bearing. 
The generation of vibration by a point in a rolling element bearing is modeled as a function of the rotation of the bearing, the distribution of the load in the bearing, the transfer function between the bearing, transducer and elasticity of the bearing structure.
The essence of this work is to present an analytical model of a specific type single of row effect balls (SKF 6004). This study is a first step dedicated to define the geometric characteristics, and in second time to determine the equations governing the distribution of responsibilities within the ball bearing.

Contribution/ Originality



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  2. E. Meldau, "Die bewechung der achse von walzlagern bei geringen drehzahlen," Werkstatt und Betrieb, vol. 84, pp. 308-313, 1951.
  3. D. Dowson and G. R. Higginson, Elasto-hydrodynamic lubrication, 2nd ed. Oxford: Pergamon Press, 1977.
  4. B. J. Hamrock and D. Dowson, "Isothermal elastohydrodynamic lubrication of point contacts. Part IV – starvation results," ASME Journal of Lubrication Technology Series F, vol. 99, pp. 15-23, 1977.
  5. P. W. Wang, L. Wong, F. He, and G. T. Y. Wan, "Experimental study of the smoothing effect of a ceramic rolling element on a bearing raceway in contaminated lubrication," Springer Tribol. Lett., vol. 28, pp. 89-97, 2007.
  6. C. Jacq, "Limite d’endurance et durée de vie en fatigue de roulement du 32CrMoV13 nitruré en présence d’indentations," Thèse en Génie des Matériaux de l’Institut National des Sciences Appliquées de Lyon, 2001, N° d’ordre 2001-ISAL-0085, 2001.
  7. L. Sanchette-Gosset, "Contribution à l’analyse et à la modélisation de l’amorçage des fissures dans l’acier 100Cr6 soumis à la fatigue de roulement," Thèse en Génie des Matériaux de l’Institut National des Sciences Appliquées de Lyon, 1993, INSA de Lyon, 1993.
  8. K. Tanaka and T. Mura, "A dislocation model for fatigue crack initiation," Journal of Applied Mechanics, vol. 48, pp. 97-103, 1981.


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