International Journal of Reliability and Applications

The Korean Reliability Society (한국신뢰성학회)
권호 표지

Reliability computation technique for ball bearing under the stress-strength model

  • Nayak, S. (Ramakrishna Mission Vidyabhavan, Paschim Midnapore) ;
  • Seal, B. (Head Department of Statistics, The University of Aliah)
  • Received : 2015.07.18
  • Accepted : 2016.06.10
  • Published : 2016.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

Stress function of ball bearing is function of multiple stochastic factors and this system is so complex that analytical expression for reliability is difficult to obtain. To address this pressing problem, in this article, we have made an attempt to approximate system reliability of this important item based on reliability bounds under the stress strength setup. This article also provides level of error of this item. Numerical analysis has been adopted to show the closeness between the upper and lower bounds of this item.

Keywords

References

  1. Barbiero, A. (2010). A discretizing method for reliability computation in complex stress strength models, World Academy of Science, Engineering and Technology, 71.
  2. D'Errico, J. R. and Zaino, N.A. (1988). Statistical tolerancing using a modification of Taguchi's method, Technometrics, 30, 397-405. https://doi.org/10.1080/00401706.1988.10488434
  3. English, J. R. Sargent, T. and Landers, T. L. (1996). A discretizing approach for stress - strength analysis, IEEE Transaction on Reliability, 45, 84-89. https://doi.org/10.1109/24.488921
  4. Ghosh, T. Roy, D. and Chandra, N.K. (2011). Discretization of random variables with application in reliability estimation, Calcutta Statistical Association Bulletin, 63, 323-338. https://doi.org/10.1177/0008068320110118
  5. Ghosh, T., Roy, D. and Chandra, N.K. (2013). Reliability approximation through the discretization of random variables using reversed hazard rate function, International journal of mathematical sciences, 7.
  6. Krishna, H. And Pundir, P.S. (2007). Discrete Maxwell distribution, Interstat.
  7. Nayak, S. (2013). Reliability approximation for a hollow rectangular tube under the Weibull and Rayleigh set up, Indian Association for Productivity Quality and Reliability, 38, 19-28.
  8. Nayak, S. and Roy, D. (2012). A bound based reliability approximation for a complex system, Journal of Statistics and Application, 7, 29-40.
  9. Nayak, S. and Roy, D. (2012). Reliability approximation for a complex system under the stress-strength model, International Journal of Statistics and Application, 13, 71-80.
  10. Nayak, S. Seal, B. and Roy, D. (2014). Reliability approximation for solid shaft under Gamma setup, Journal of Reliability and Statistical Studies, 7, 11-17.
  11. Nayak, S. and Roy, D. (2015). Approach of reliability approximation with extent of error for a resistor under Weibull setup, Journal of Statistical Theory and Application, 14, 281-288. https://doi.org/10.2991/jsta.2015.14.3.5
  12. Roy, D. (1993). Reliability measures in the discrete bivariate setup and related characterization results for a bivariate geometric distribution, Journal of Multivariate Analysis, 46, 362-373. https://doi.org/10.1006/jmva.1993.1065
  13. Roy, D. and Dasgupta, T. (2001). A discretizing approach for evaluating reliability of complex systems under stress\strength model, IEEE Transaction on Reliability, 50, 145-150. https://doi.org/10.1109/24.963121
  14. Roy, D. and Dasgupta, T. (2002). Evaluation of reliability of complex systems by means of a discretizing approach: Weibull setup, International Journal for Quality and Reliability Management, 19, 792-801. https://doi.org/10.1108/02656710210438212
  15. Roy, D. and Ghosh, T. (2009). A New Discretization Approach with Application in Reliability Estimation, IEEE Transactions on Reliability, 58, 456-461. https://doi.org/10.1109/TR.2009.2028093