Structural Reliability Analysis Using Legendre Orthogonal Neural Network Method

Article Preview

Abstract:

In order to predict the failure probability of a complicated structure, the structural responses usually need to be estimated by a numerical analysis such as finite element method. The response surface method could be used to reduce the computational effort required for reliability analysis when the performance functions are implicit. However the conventional response surface method is time-consuming or cumbersome if the number of random variables is large. This paper presents a Legendre orthogonal neural network (LONN)-based response surface method to predict the reliability of a structure. In this method, the relationship between the random variables and structural responses is established by a LONN model. Then the LONN model is connected to a reliability method, i.e. first-order reliability methods (FORM) to predict the failure probability of the structure. Numerical example has shown that the proposed approach is applicable to structural reliability analysis involving implicit performance functions.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1077-1080

Citation:

Online since:

January 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] O. Ditlevsen, H. O. Madsen: Structural reliability methods. New York: Wiley, (1996).

Google Scholar

[2] A. S. Nowak, K. R. Collins: Reliability of structures. Boston: McGraw-Hill, (2000).

Google Scholar

[3] K. Hornik, M. Stinchcombe, H. White: Universal approximation of an unknown mapping and its derivatives using multi-layer feed-forward networks. Neural Networks, (1990), pp.551-560.

DOI: 10.1016/0893-6080(90)90005-6

Google Scholar

[4] O. J. V. Chapman, A. D. Crossland: Neural networks in probabilistic structural mechanics. In: Sundararajan C, editor. Probabilistic structural mechanics handbook: theory and industrial application. New York: Chapman & Hall, (1995), pp.317-330.

DOI: 10.1007/978-1-4615-1771-9_14

Google Scholar

[5] J. Deng, H. H. Zhu: Finite element Monte-Carlo method using neural networks for geotechnical reliability analysis. J Tongji Univ. Vol. 3 (2002), pp.269-272.

Google Scholar

[6] R. Courant, D. Hilbert: Methods of Mathematical Physics. New York: Interscience Publishers, (1955).

Google Scholar

[7] M. R. Rajashekhar, B.R. Ellingwood. A new look at the response surface approach for reliability analysis. Structural Safety. Vol. 12 (1993), p.205–220.

DOI: 10.1016/0167-4730(93)90003-j

Google Scholar