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Advances in Civil Engineering
Volume 2017 (2017), Article ID 8643801, 10 pages
https://doi.org/10.1155/2017/8643801
Research Article

A Comparative Study of First-Order Reliability Method-Based Steepest Descent Search Directions for Reliability Analysis of Steel Structures

1Department of Civil Engineering, Saravan Branch, Islamic Azad University, Saravan, Iran
2Department of Civil Engineering, University of Zabol, Zabol, Iran
3Department of Civil Engineering, Zahedan Branch, Islamic Azad University, Zahedan, Iran

Correspondence should be addressed to Hamed Makhduomi; moc.liamg@km.ymah

Received 28 January 2017; Accepted 11 May 2017; Published 7 September 2017

Academic Editor: Sertong Quek

Copyright © 2017 Hamed Makhduomi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P.-L. Liu and A. der Kiureghian, “Optimization algorithms for structural reliability,” Structural Safety, vol. 9, no. 3, pp. 161–177, 1991. View at Publisher · View at Google Scholar · View at Scopus
  2. O. Ditlevsen and H. O. Madsen, Structural Reliability Methods, John Wiley and Sons, 1996.
  3. A. Der Kiureghian and M. de Stefano, “Efficient algorithm for second-order reliability analysis,” Journal of Engineering Mechanics, vol. 117, no. 12, pp. 2904–2923, 1991. View at Publisher · View at Google Scholar · View at Scopus
  4. Y.-G. Zhao and Z.-H. Lu, “Fourth-moment standardization for structural reliability assessment,” Journal of Structural Engineering, vol. 133, no. 7, pp. 916–924, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. S.-K. Au and J. L. Beck, “Estimation of small failure probabilities in high dimensions by subset simulation,” Probabilistic Engineering Mechanics, vol. 16, no. 4, pp. 263–277, 2001. View at Publisher · View at Google Scholar · View at Scopus
  6. M. Rashki, M. Miri, and M. A. Moghaddam, “A new efficient simulation method to approximate the probability of failure and most probable point,” Structural Safety, vol. 39, pp. 22–29, 2012. View at Publisher · View at Google Scholar · View at Scopus
  7. B. Keshtegar, “Stability iterative method for structural reliability analysis using a chaotic conjugate map,” Nonlinear Dynamics, vol. 84, no. 4, pp. 2161–2174, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  8. D. Yang, “Chaos control for numerical instability of first order reliability method,” Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 10, pp. 3131–3141, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. B. Keshtegar and M. Miri, “Introducing conjugate gradient optimization for modified HL-RF method,” Engineering Computations, vol. 31, no. 4, pp. 775–790, 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Mohammadi Farsani and B. Keshtegar, “Reliability analysis of corroded reinforced concrete beams using enhanced HL-RF method,” Civil Engineering Infrastructures Journal, vol. 48, no. 2, pp. 297–304, 2015. View at Google Scholar
  11. B. Keshtegar and M. Miri, “An enhanced HL-RF Method for the computation of structural failure probability based on relaxed approach,” Civil Engineering Infrastructures Journal, vol. 1, no. 1, pp. 69–80, 2013. View at Google Scholar
  12. B. Keshtegar and M. Miri, “Reliability analysis of corroded pipes using conjugate HL-RF algorithm based on average shear stress yield criterion,” Engineering Failure Analysis, vol. 46, pp. 104–117, 2014. View at Publisher · View at Google Scholar · View at Scopus
  13. B. Keshtegar, “Chaotic conjugate stability transformation method for structural reliability analysis,” Computer Methods in Applied Mechanics and Engineering, vol. 310, pp. 866–885, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. B. Keshtegar, “Limited conjugate gradient method for structural reliability analysis,” Engineering with Computers, vol. 33, no. 3, pp. 621–629, 2017. View at Publisher · View at Google Scholar · View at Scopus
  15. Z. Meng, G. Li, D. Yang, and L. Zhan, “A new directional stability transformation method of chaos control for first order reliability analysis,” Structural and Multidisciplinary Optimization, vol. 55, no. 2, pp. 601–612, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  16. A. M. Hasofer and N. C. Lind, “Exact and invariant second moment code format,” Journal of the Engineering Mechanics Division, vol. 111, no. 21, pp. 111–121, 1974. View at Google Scholar
  17. R. Rackwitz and B. Flessler, “Structural reliability under combined random load sequences,” Computers and Structures, vol. 9, no. 5, pp. 489–494, 1978. View at Publisher · View at Google Scholar · View at Scopus
  18. J.-X. Gong and P. Yi, “A robust iterative algorithm for structural reliability analysis,” Structural and Multidisciplinary Optimization, vol. 43, no. 4, pp. 519–527, 2011. View at Publisher · View at Google Scholar · View at Scopus
  19. T. V. Santosh, R. K. Saraf, A. K. Ghosh, and H. S. Kushwaha, “Optimum step length selection rule in modified HL-RF method for structural reliability,” International Journal of Pressure Vessels and Piping, vol. 83, no. 10, pp. 742–748, 2006. View at Publisher · View at Google Scholar · View at Scopus