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System Reliability Analysis of Rack Storage Facilities

물류보관 랙선반시설물의 시스템신뢰성 해석

  • Ok, Seung-Yong (Department of Civil, Safety and Environmental Engineering, Hankyong National University) ;
  • Kim, Dong-Seok (R&D Center, Interconstech Co., Ltd.)
  • 옥승용 (한경대학교 토목안전환경공학과) ;
  • 김동석 ((주)인터컨스텍)
  • Received : 2014.05.07
  • Accepted : 2014.07.11
  • Published : 2014.08.31

Abstract

This study proposes a system reliability analysis of rack storage facilities subjected to forklift colliding events. The proposed system reliability analysis consists of two steps: the first step is to identify dominant failure modes that most contribute to the failure of the whole rack facilities, and the second step is to evaluate the system failure probability. In the first step, dominant failure modes are identified by using a simulation-based selective searching technique where the contribution of a failure mode to the system failure is roughly estimated based on the distance from the origin in the space of the random variables. In the second step, the multi-scale system reliability method is used to compute the system reliability where the first-order reliability method (FORM) is initially used to evaluate the component failure probability (failure probability of one member), and then the probabilities of the identified failure modes and their statistical dependence are evaluated, which is called as the lower-scale reliability analysis. Since the system failure probability is comprised of the probabilities of the failure modes, a higher-scale reliability analysis is performed again based on the results of the lower-scale analyses, and the system failure probability is finally evaluated. The illustrative example demonstrates the results of the system reliability analysis of the rack storage facilities subjected to forklift impact loadings. The numerical efficiency and accuracy of the approach are compared with the Monte Carlo simulations. The results show that the proposed two-step approach is able to provide accurate reliability assessment as well as significant saving of computational time. The results of the identified failure modes additionally let us know the most-critical members and their failure sequence under the complicated configuration of the member connections.

Keywords

References

  1. S.-Y. Ok, O.-Y. Kwon and S. W. Paik, "Behavioral Characteristics Investigation of Rack Structure Depending on Forklift Impact Scenarios and Storage Distributions", Journal of the Korean Society of Safety, Vol. 28, No. 6, pp. 49-56, 2013. https://doi.org/10.14346/JKOSOS.2013.28.6.049
  2. D.-S. Kim, S.-Y. Ok, J. Song and H.-K. Koh, "System Reliability Analysis using Dominant Failure Modes Identified by Selective Searching Technique", Reliability Engineering and System Safety, Vol. 119, pp. 316-331, 2013. https://doi.org/10.1016/j.ress.2013.02.007
  3. F. Moses and B. Stahl, "Reliability Analysis Format for Offshore Structures", In: Proceedings of the 10th Annual Offshore Technology Conference, Paper 3046, 1978.
  4. Y. Murotsu, H. Okada, K. Taguchi, M. Grimmelt and M. Yonezawa, "Automatic Generation of Stochastically Dominant Failure Modes of Frame Structures", Structural Safety, Vol. 2, pp. 17-25, 1984. https://doi.org/10.1016/0167-4730(84)90004-3
  5. R. Ranganathan and A. G. Deshpande, "Generation of Dominant Modes and Reliability Analysis of Frame", Structural Safety, Vol. 4, pp. 217-228, 1987. https://doi.org/10.1016/0167-4730(87)90014-2
  6. A. Srividya and R. Ranganathan, "Automatic Generation of Stochastically Dominant Failure Modes in Frame Structures for Reliability Studies", Reliability Engineering and System Safety, Vol. 37, pp. 15-23, 1992. https://doi.org/10.1016/0951-8320(92)90053-N
  7. S. -Y. Ok, "Reliability Assessment and its Tendency Investigation of Rack Structure for Failure Modes under Uncertainties in Load and Model Parameters", Journal of the Korean Society of Safety, Vol. 28, No. 7, pp. 44-51, 2013. https://doi.org/10.14346/JKOSOS.2013.28.3.044
  8. A. Der Kiureghian, "First- and Second-order Reliability Methods", Engineering Design Reliability Handbook, Edited by E. Nikolaidis, D.M. Ghiocel & S. Singhal, CRC Press, Boca Raton, FL, Chapter 14, 2005.
  9. O. Ditlevsen and H. O. Madsen, "Structural Reliability Methods", Chichester, UK: John Wiley & Sons, 1996.
  10. S. Gollwitzer and R. Rackwitz, "An Efficient Numerical Solution to the Multinormal Integral", Probabilistic Engineering Mechanics, Vol. 3, No. 2, 98-101, 1988. https://doi.org/10.1016/0266-8920(88)90021-5
  11. M. D. Pandey, "An Effective Approximation to Evaluate Multinormal Integrals", Structural Safety, Vol. 20, 51-67, 1998. https://doi.org/10.1016/S0167-4730(97)00023-4
  12. J. Song and W. H. Kang, "System Reliability and Sensitivity under Statistical Dependence by Matrix-based System Reliability Method", Structural Safety, Vol. 31, No. 2, pp. 148-156, 2009. https://doi.org/10.1016/j.strusafe.2008.06.012
  13. A. Genz, "Numerical Computation of Multivariate Normal Probabilitlies", Journal of Computational and Graphical Statistics, Vol. 1, No. 2, pp. 141-149, 1992.
  14. N. J. McKay, R. J. Beckman and W. J. Conover, "A comparison of Three Methods for Selecting Value of Input Variables in the Analysis of Output from a Computer Code", Technometrics, Vol. 21, pp. 239-245, 1979.
  15. P. Thoft-Christensen and Y. Murotsu, "Aplication of Structural System Reliability Theory", Springer Verlag, 1986.

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