DOI QR코드

DOI QR Code

Reliability analysis of repairable k-out-n system from time response under several times stochastic shocks

  • Fang, Yongfeng (School of Mechanical Engineering, Bijie University) ;
  • Tao, Wenliang (School of Mechanical Engineering, Bijie University) ;
  • Tee, Kong Fah (Department of Civil Engineering, University of Greenwich)
  • 투고 : 2013.02.06
  • 심사 : 2013.10.04
  • 발행 : 2014.10.25

초록

The model of unit dynamic reliability of repairable k/n (G) system with unit strength degradation under repeated random shocks has been developed according to the stress-strength interference theory. The unit failure number is obtained based on the unit failure probability which can be computed from the unit dynamic reliability. Then, the transfer probability function of the repairable k/n (G) system is given by its Markov property. Once the transfer probability function has been obtained, the probability density matrix and the steady-state probabilities of the system can be retrieved. Finally, the dynamic reliability of the repairable k/n (G) system is obtained by solving the differential equations. It is illustrated that the proposed method is practicable, feasible and gives reasonable prediction which conforms to the engineering practice.

키워드

참고문헌

  1. Chen, Y. and Chen, S. (2010), "Sensitivity analysis of responses for vibration control systems", Struct. Eng. Mech., 35(6), 1028-1036.
  2. David, P., Idasiak, V. and Kratz, F. (2010), "Reliability study of complex physical systems using SysML", Reliab. Eng. Syst. Safe., 95(3), 431-450. https://doi.org/10.1016/j.ress.2009.11.015
  3. Fang, Y.F., Chen, J. and Tee, K.F. (2013), "Analysis of structural dynamic reliability based on the probability density evolution method", Struct. Eng. Mech., 45(2), 201-209. https://doi.org/10.12989/sem.2013.45.2.201
  4. Fang, Y.F., Chen, J. and Ma, H.B. (2013), "Structural dynamic reliability calculation under three types stochastic loads", Shock Vib., 32(1), 118-122.
  5. Fang, Y.F., Chen, J., Yan, B. and Cao, H.J. (2013), "Model for prediction of structural dynamic non-probability reliability", J. Xidian Univ., 39(6), 170-175.
  6. Jose, V.A. (2010), "RESTART simulation of non-Markov consecutive-k-out-of-n: F repairable systems", Reliab. Eng. Syst. Safe., 95(2), 247-254. https://doi.org/10.1016/j.ress.2009.10.005
  7. Langer, T.H., Iversen, T.K., Mouritsen, O.O., Ebbesen, M.K. and Hansen, M.R. (2013), "Suspension system performance optimization with discrete design variables", Struct. Multidiscip. O., 47(4), 89-101.
  8. Lee, M.H. (2011), "Estimation of structure system input force using the inverse fuzzy estimator", Struct. Eng. Mech., 37(4), 351-365. https://doi.org/10.12989/sem.2011.37.4.351
  9. Lewis, E.E. (2001), "A load-capacity interference model for common-mode failures in 1-out-of-2: G systems", IEEE T. Reliab., 50(1), 47-51. https://doi.org/10.1109/24.935017
  10. Li, P. Gu, H., Song, G., Zheng, R. and Mo, Y.L. (2010), "Concrete structural health monitoring using piezoceramic-based wireless sensor networks", Smart Struct. Syst., 6(5), 731-748. https://doi.org/10.12989/sss.2010.6.5_6.731
  11. Liu, H.M. (1998), "Reliability of a load-sharking k-out-of-n: G system: non-iid components with arbitrary distributions", IEEE T. Reliab., 47(3), 279-284. https://doi.org/10.1109/24.740502
  12. Rezazadeh, S., Mehrabi, M., Pashae, T. and Mirzaee, I. (2012), "Using adaptive neuro-fuzzy inference system (ANFIS) for proton exchange membrane fuel cell (PEMFC) performance modeling", J. Mech. Sci. Technol., 26(11), 3701-3709. https://doi.org/10.1007/s12206-012-0844-2
  13. Roy, D. and Dasgupta, T. (2001), "A discrediting approach for evaluating reliability of complex systems under stress-strength model", IEEE T. Reliab., 50(2), 145-150. https://doi.org/10.1109/24.963121
  14. Schaff, J.R. and Davidson, B.D. (1997), "Life prediction methodology for composite structures", J. Compos. Mater., 31(2), 127-157.
  15. Scheuer, E.M. (1988), "Reliability of an m-out-of-n system when component failure induces higher failure rates in survivors", IEEE T. Reliab., 37(1), 73-74. https://doi.org/10.1109/24.3717
  16. Sun, Y. and Shi, J. (2004), "Reliability assessment of entropy method for system consisted of identical exponential units", Chinese J. Mech. Eng., l7(4), 502-506.
  17. Utkin, L.V. (2004), "Reliability models of m-out of-n system under incomplete information", Comput. Operation Res., 31(3), 1681-1702. https://doi.org/10.1016/S0305-0548(03)00115-1
  18. Xie, L.Y., Zhou, J.Y. and Hao, C.Z. (2004), "System-level load-strength interference based reliability modeling of k-out-of-n system", Reliab. Eng. Syst. Safe., 84(2), 311-317. https://doi.org/10.1016/j.ress.2003.12.003
  19. Xu, H., Guo, W., Yu, J. and Zhu, G. (2004), "Asymptotic stability of k-out-of n: G Redundant system", Acta Anal. Fanctionalis Applicata, 6(3), 209-219.
  20. Yao, C.G. and Zhao, J.Y. (2005), "Reliability-based design and analysis on hydraulic system for synthetic rubber press", Chinese J. Mech. Eng., 18(2), 159-162. https://doi.org/10.3901/CJME.2005.02.159
  21. Zhang, Y.L. and Lam, Y. (1998), "Reliability of consecutive-k-out-of-n: G repairable system", Int. J. Syst. Sci., 29(12), 1375-1379. https://doi.org/10.1080/00207729808929623

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