374
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

A method for estimating the reliability of structural systems with moment-matching and copula concept

&
Pages 196-208 | Received 05 Dec 2015, Accepted 25 Apr 2017, Published online: 31 May 2017

References

  • Ang, H. S., Tang, W. H. (1984). Probability concepts in engineering planning and design. New York Journal of Structural Engineering 1:236–251.
  • Cornell, C. A. (1967). Bounds on the reliability of structural systems. Journal of the Structural Division 93:171–200.
  • Ditlevsen, O. (1979). Narrow reliability bounds for structural systems. Journal of Structural Mechanics 7(4):453–472.
  • Du, X. (2010). System reliability analysis with saddlepoint approximation. Structural & Multidisciplinary Optimization 42(2):193–208.
  • Grimmelt, M. J., Schuëller, G. I. (1982). Benchmark study on methods to determine collapse failure probabilities of redundant structures. Structural Safety 1(2):93–106.
  • Guo, S. (2014). An efficient third-moment saddlepoint approximation for probabilistic uncertainty analysis and reliability evaluation of structures. Applied Mathematical Modelling 38(1):221–232.
  • Hasofer, A. M., Lind, N. C. (1974). Exact and invariant second-moment code format. Journal of the Engineering Mechanics Division 100(1):111–121.
  • Hohenbichler, M., Rackwitz, R. (1983). First-order concepts in system reliability. Structural Safety 1(3):177–188.
  • Huang, X., Zhang, Y. (2010). Reliability sensitivity analysis for rack-and-pinion steering linkages. Journal of Mechanical Design 132(7):071012.
  • Laumakis, P. J., Harlow, G. (2002). Structural reliability and Monte Carlo simulation. International Journal of Mathematical Education in Science and Technology 33(3):377–387.
  • Lee, T. W., Kwak, B. M. (1987). A reliability-based optimal design using advanced first order second moment method. Journal of Structural Mechanics 15(4):523–542.
  • Li, D. Q., Zhang, L., Tang, X. S., Zhou, W., Li, J. H., Zhou, C. B., Phoon, K. K. (2015). Bivariate distribution of shear strength parameters using copulas and its impact on geotechnical system reliability. Computers & Geotechnics 68:184–195.
  • Lu, H., Zhang, Y. (2011). Reliability-based robust design for structural system with multiple failure modes. Mechanics based Design of Structures and Machines 39(4):420–440.
  • Ma, H. F., Ang, A. S. (1981). Reliability Analysis of Redundant Ductile Structural Systems. University of Illinois Engineering Experiment Station; College of Engineering; University of Illinois at Urbana-Champaign, Urbana-Champaign.
  • Mari, D. D., Kotz, S. (2001). Correlation and Dependence, Vol. 518.London: Imperial College Press.
  • Noh, Y., Choi, K. K., Du, L. (2009). Reliability-based design optimization of problems with correlated input variables using a Gaussian Copula. Structural and Multidisciplinary Optimization 38(1):1–16.
  • Polidori, D. C., Beck, J. L., Papadimitriou, C. (1999). New approximations for reliability integrals. Journal of Engineering Mechanics 125(4):466–475.
  • Rackwitz, R., Flessler, B. (1978). Structural reliability under combined random load sequences. Computers & Structures 9(5):489–494.
  • Song, J., Der Kiureghian, A. (2003). Bounds on system reliability by linear programming. Journal of Engineering Mechanics 129(6):627–636.
  • Tang, K., Congedo, P. M., Abgrall, R. (2015). Sensitivity analysis using anchored ANOVA expansion and high-order moments computation. International Journal for Numerical Methods in Engineering 102(9):1554–1584.
  • Tang, X. S., Li, D. Q., Rong, G., Phoon, K. K., Zhou, C. B. (2013a). Impact of copula selection on geotechnical reliability under incomplete probability information. Computers & Geotechnics 49(4):264–278.
  • Tang, X. S., Li, D. Q., Zhou, C. B., Phoon, K. K., Zhang, L. M. (2013b). Impact of copulas for modeling bivariate distributions on system reliability. Structural Safety 44:80–90.
  • Tang, X. S., Li, D. Q., Zhou, C. B., Zhang, L. M. (2013c). Bivariate distribution models using copulas for reliability analysis. Proceedings of the Institution of Mechanical Engineers Part O Journal of Risk & Reliability 227(5):499–512.
  • Wang, F. K. (2000). A new model with bathtub-shaped failure rate using an additive Burr XII distribution. Reliability Engineering & System Safety 70(3):305–312.
  • Youn, B. D., Wang, P. (2009). Complementary intersection method for system reliability analysis. Journal of Mechanical Design 131(4):041004.
  • Yuan, X. X., Pandey, M. D. (2006). Analysis of approximations for multinormal integration in system reliability computation. Structural Safety 28(4):361–377.
  • Zhang, X., Pandey, M. D. (2013). Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method. Structural Safety 43:28–40.
  • Zhao, Y. G., Zhong, W. Q., Ang, A. H. S. (2007). Estimating joint failure probability of series structural systems. Journal of Engineering Mechanics 133(5):588–596.
  • Zhong, W. Q., Zhao, Y. G., Ang, A. H. (2007). A Method for Computing Reliability Bound of Series Structural Systems. Reliability and Optimization of Structural Systems – Assessment, Design, and Life-Cycle Performance. London: Taylor and Francis, pp. 259–268.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.