Structural Reliability Analysis Using Fourier 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 predicted by a numerical procedure, such as FEM method. The response surface method could be used to reduce the computational effort required for reliability analysis. However the conventional response surface method is still time consuming when the number of random variables is large. In this paper, a Fourier orthogonal neural network (FONN)-based response surface method is proposed. In this method, the relationship between the random variables and structural responses is established using FONN models. Then the FONN model is connected to the first order and second moment method (FORM) to predict the failure probability. Numerical example result shows that the proposed approach is efficient and accurate, and is applicable to structural reliability analysis.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 838-841)

Pages:

360-363

Citation:

Online since:

November 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] S. Shao and Y. Murotsu: Structural reliability using a neural network. JSME. Interntional Journal. Vol. 3 (1997), pp.242-246.

Google Scholar

[2] J.E. Hurtado, D.A. Alvarez. Neural-network-based reliability analysis: a comparative study. Computer Methods in Applied Mechanics and Engineering. Vol. 191 (2001), p.113–32.

DOI: 10.1016/s0045-7825(01)00248-1

Google Scholar

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

Google Scholar

[4] H. P. Huan, J. J. Cheng: Unstable Backpropagation Method in Neural Networks: A Remedy. The Second International Conference on Automation Technology. Vol. 1 (1992), pp.249-55.

Google Scholar

[5] K.T. Fang, Y. Wang: Number-theoretic methods in statistics. London: Chapman & Hall; (1994).

Google Scholar

[6] H. M. Gomesa, A. M. Awruch: Comparison of response surface and neural network with other methods for structural reliability analysis. Structural Safety. Vol. 26 (2004), p.49–67.

DOI: 10.1016/s0167-4730(03)00022-5

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.205–20.

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

Google Scholar