Structural Reliability Analysis with Uncertainty-but-Bounded Parameters Based on Meshless Method

Abstract:

The structural reliability analysis with uncertainty-but-bounded parameters is considered in this paper. Each uncertain-but-bounded parameter is represented as an interval number or vector, an interval reliability index is defined and discussed. Due to the wide application of the Meshless method, it is used in structural stress and strain analysis. The target variable of requiring reliability analysis is estimated via Taylor expansion. Based on optimization theory and vertex solution theorem, the upper and lower bounds of the target variables are obtained, and also the interval reliability index. A typical elastostatics example is presented to illustrate the computational aspects of interval reliability analysis in comparison with the traditional probability method, it can be seen that the result calculated by the vertex solution theorem is consistent with that calculated by probability method.

• Periodical: Advanced Materials Research (Volumes 163-167)
• Pages: 3034-3041
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.163-167.3034
• Online since: December 2010
• Authors: Wei Zhao, J.K. Liu, Qiu Wei Yang
• Keywords: Meshless Method, Structural Reliability Analysis, Uncertainty

References

[1] Z P Qiu, X J Wang, J Y Chen: International Journal of Solids and Structures Vol. 43 (2006), p.6574–6593.

[2] Ben Haim: Structural Safety Vol. 17 (1995), pp.91-109.

[3] Ben Haim, Elishakoff I: Convex Models of Uncertainty in Applied Mechanics (Elsevier, Amsterdam 1990).

[4] Ben Haim: Structural Safety Vol. 14 (1994), pp.227-245.

[5] Z P Qiu, Elishakoff I: Computer Methods in Applied Mechanics and Engineering Vol. 152 (1998), pp.361-372.

[6] Hansen E. R: Global Optimization using Interval Analysis (Dekker, New York 1992).

[7] Vinh Phu Nguyen , Timon Rabczuk, Stephane Bordas and Marc Duflot: Mathematics and Computers in Simulation Vol. 79(2008), p.763–813.

[8] Moore R E: Methods and Applications of Interval Analysis (Prentice-Hall, London 1979).

[9] Yamazaki F, Shinozuka M and Dasgupta G: J of Eng. Mech. Vol. 11 (1988), pp.1335-1354.