Abstract
The reliability analysis of complex structural systems requires utilization of approximation methods for calculation of reliability measures with the view of reduction of computational efforts to an acceptable level. The aim is to replace the original limit state function by an approximation, the so-called response surface, whose function values can be computed more easily. In the paper, an artificial neural network based response surface method in the combination with the small-sample simulation technique is introduced. An artificial neural network is used as a surrogate model for approximation of original limit state function. Efficiency is emphasized by utilization of the stratified simulation for the selection of neural network training set elements. The proposed method is employed for reliability assessment of post-tensioned composite bridge. Response surface obtained is independent of the type of distribution or correlations among the basic variables.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bucher, C.: Adaptive sampling-an iterative fast Monte Carlo procedure. Structural Safety 5(2), 119–126 (1988)
Bjerager, P.: Probability integration by directional simulation. Journal of Engineering Mechanics ASCE 114(8), 285–302 (1988)
Ayyub, B., Chia, C.: Generalised conditional expectation for structural reliability assessment. Structural Safety 11, 131–146 (1992)
McKay, M.D., Conover, W.J., Beckman, R.J.: A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technomerics 21, 239–245 (1979)
Melchers, E.M.: Structural Reliability Analysis and Prediction. John Wiley & Sons Ltd., Chichester (1999)
Myers, R.H.: Response Surface Methodology. Allyn and Bacon, New York (1971)
Bucher, C.G.: Computational Analysis of Randomness in Structural Mechanics. CRC Press/Balkema, Leiden (2009)
Koehler, J.R., Owen, A.B.: Computer experiments. In: Ghosh, S., Rao, C.R. (eds.) Handbook of Statistics 13, pp. 261–308. Elsevier Science, New York (1996)
Bucher, C.G., Bourgund, U.: A fast and efficient response surface approach for structural reliability problems. Structural Safety 7, 57–66 (1990)
Novák, D., Lehký, D.: ANN Inverse Analysis Based on Stochastic Small-Sample Training Set Simulation. Engineering Application of Artificial Intelligence 19, 731–740 (2006)
Lehký, D., Novák, D.: Solving inverse structural reliability problem using artificial neural networks and small-sample simulation. Advances in Structural Engineering 15, 1911–1920 (2012)
Červenka, V., Jendele, L., Červenka, J.: ATENA Program Documentation – Part 1: Theory. Cervenka Consulting, Prague (2007)
Czech technical standard – ČSN 73 6222: Load bearing capacity of road bridges. Czech Office for Standards, Metrology and Testing, Prague (in Czech) (2009)
Novák, D., Vořechovský, M., Teplý, B.: FReET: Software for the statistical and reliability analysis of engineering problems and FReET-D: Degradation module. Advances in Engineering Software 72, 179–192 (2013)
Joint Committee on Structural Safety: Probabilistic Model Code. http://www.jcss.byg.dtu.dk/Publications/ (last updated December 6, 2013)
Technical specifications – TP 224: Ověřování existujících betonových mostů pozemních komunikací (Verification of existing concrete road bridges). Ministry of Transport of Czech Republic, Department of Road Infrastructure, Prague (in Czech) (2010)
Šomodíková, M., Doležel, J., Lehký, D.: Probabilistic load bearing capacity assessment of post-tensioned composite bridge. In: Novák, D., Vořechovský, M. (eds.) Proceedings of the 11th International Probabilistic Workshop, Brno, pp. 451–460 (2013)
Czech technical standard – ČSN EN 1992-1-1. Eurocode 2: Design of concrete structures – Part 1-1: General rules and rules for buildings. Czech Standardization Institute, Prague (in Czech) (2006)
Vořechovský, M., Novák, D.: Correlation control in small-sample Monte Carlo type simulations I: A simulated annealing approach. Probabilistic Engineering Mechanics 24(3), 452–462 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Lehký, D., Šomodíková, M. (2015). Reliability Analysis of Post-Tensioned Bridge Using Artificial Neural Network-Based Surrogate Model. In: Iliadis, L., Jayne, C. (eds) Engineering Applications of Neural Networks. EANN 2015. Communications in Computer and Information Science, vol 517. Springer, Cham. https://doi.org/10.1007/978-3-319-23983-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-23983-5_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23981-1
Online ISBN: 978-3-319-23983-5
eBook Packages: Computer ScienceComputer Science (R0)