Computers and Concrete

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Repairable k-out-n system work model analysis from time response

  • Fang, Yongfeng (School of Mechanical Engineering, Bijie University) ;
  • Tao, Webliang (School of Mechanical Engineering, Bijie University) ;
  • Tee, Kong Fah (Department of Civil Engineering, University of Greenwich)
  • Received : 2012.02.19
  • Accepted : 2013.08.31
  • Published : 2013.12.25
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Abstract

A novel reliability-based work model of k/n (G) system has been developed. Unit failure probability is given based on the load and strength distributions and according to the stress-strength interference theory. Then a dynamic reliability prediction model of repairable k/n (G) system is established using probabilistic differential equations. The resulting differential equations are solved and the value of k can be determined precisely. The number of work unit k in repairable k/n (G) system is obtained precisely. The reliability of whole life cycle of repairable k/n (G) system can be predicted and guaranteed in the design period. Finally, it is illustrated that the proposed model is feasible and gives reasonable prediction.

Keywords

References

  1. Atwood, C.L. (1996), "The binomial failure rate common cause model", Technometerics, 28(2), 139-148.
  2. Champiri, M.D., Mousavizadegan, S.H. and Moodi, F. (2012), "A decision support system for diagnosis of distress cause and repair in marine concrete structures", Comput. Concr., 9(2), 99-118 https://doi.org/10.12989/cac.2012.9.2.099
  3. Cojazzi, G. (1996), "The DYLAM approach for the dynamic reliability analysis of systems", Reliab. Eng. Syst. Safe., 53(3), 279-296.
  4. Fang, Y., Chen, J. and Yanbin, M.H. (2012), "Model for prediction of structural dynamic non-probabilistic reliability", J. Xidian Univ., 39(6), 170-175
  5. Ida, S., Magne, A., Amoldo, F. and Peder A.J. (2007), "A stochastic model for infectious salmon anemia (ISA) in Atlantic salmon farming", J. R. Soc. Interface, 15(10), 699-704.
  6. Kim, C.W., Isemoto, R., Sugiura, K. and Kawatani, M. (2013), "Linear system parameter as an indicator for structural diagnosis of short span bridges", Smart Struct. Syst., 11(1), 1-17 https://doi.org/10.12989/sss.2013.11.1.001
  7. Lewis, E.E. (2001), "A load-capacity inference model for common-model failures in-out-of-2: G system". IEEE Trans. Reliab., 50(1), 47-51. https://doi.org/10.1109/24.935017
  8. Liudong, X., Suprasad, V.A. and Chaonan, W. (2012), "Reliability of k-out-of-n systems with phased-mission requirements and imperfect fault coverage", Reliab. Eng. Syst. Safe., 103(1), 45-50 https://doi.org/10.1016/j.ress.2012.03.018
  9. Mohammad, A.G. and Saeed, A. (2010), "Numerical assessment of seismic safety of liquid storage tanks and performance of base isolation system", Struct. Eng. Mech., 35(6),759-772 https://doi.org/10.12989/sem.2010.35.6.759
  10. Reza, Y. and Ted, C. (2011), "Deneralized Markov model of infectious disease spread: A novel framework for developing dynamic health polices", Euro. J. Operational Res., 215(12), 679-687.
  11. Ronold, K.O, Larsen, G.C. (2000), "Reliability based design of wind-turbine rotor blades against failure in ultimate loading", Eng. Struct., 22(3), 565-574. https://doi.org/10.1016/S0141-0296(99)00014-0
  12. Scheuer, E.M. (1988), "Reliability of an m-out-of-n system when component failure induces higher failure rates in survivors", IEEE Trans. Reliab., 37(1), 73-74. https://doi.org/10.1109/24.3717
  13. Severo, N.C. (1969), "A recursion theorem on solving difference equations and applications to some stochastic processes", Appl. Probab., 52(6), 673-681.
  14. Siskind ,V.A. (1965), "A solution of the general stochastic epidemic", Biometrika, 52(5), 613-616. https://doi.org/10.1093/biomet/52.3-4.613
  15. Tao, J., Wang, Y. and Chen, X. (2009), "A survey of the complex large system dynamic reliability and dynamic probability risk assessment", ACTA Armamentarii, 30(11), 1533-1542.
  16. Yongfeng, F., Jianjun C. and Kong F.T. (2012), "Analysis of structural dynamic reliability based on the probability density evolution method", Struct. Eng. Mech., 45(2), 201-209.
  17. Zhang, Y., Liu, Q. and Wen, B. (2003), "Reliability sensitivity analysis if single degree of freedom nonlinear vibration systems with random parameters", Acta Mech. Solida Sin., 24(1), 61-67.

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