Abstract
This article presents recent applications of neural computations in the field of stochastic finite element analysis of structures and earthquake engineering. The incorporation of Neural Networks (NN) in this type of problems is crucial since it leads to substantial reduction of the excessive computational cost. Earthquake- resistant design of structures using Probabilistic Safety Analysis (PSA) is an emerging field in structural engineering. The efficiency of soft computing methodologies is investigated when incorporated into the solution of computationally intensive earthquake engineering problems considering uncertainties.
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References
Fahlman, S. An Empirical Study of Learning Speed in Back-Propagation Networks. Carnegie Mellon: CMU-CS-88-162, 1988.
Hurtado, J.E. Neural network in stochastic mechanics. Arch. Comp. Meth. Engrg. (State of the art reviews), 8(3): 303–342, 2001.
Hurtado, J.E., Alvarez, D.A. Neural-network-based reliability analysis: a comparative study. Comp. Meth. Appl. Mech. Engrg., 191: 113–132, 2002.
Kramer, S.L. Geotechnical Earthquake Engineering. Prentice-Hall, Englewood Cliffs, NJ, 1996.
Lagaros, N.D., Fragiadakis, M. Fragility assessment of steel frames using neural networks, Earthquake Spectra, 23(4): 735–752, 2007.
Lagaros, N.D., Papadrakakis, M. Learning improvement of neural networks used in structural optimization. Adv. in Engrg. Software, 35: 9–25, 2004.
Lagaros, N.D., Stefanou, G., Papadrakakis, M. An enhanced hybrid method for the simulation of highly skewed non-Gaussian stochastic fields. Comp. Meth. Appl. Mech. Engrg., 194(45–47): 4824–4844, 2005.
McCorkle, D.S., Bryden, K.M., Carmichael, C.G. A new methodology for evolutionary optimization of energy systems. Comp. Meth. Appl. Mech. Engrg., 192: 5021–5036, 2003.
Nie, J., Ellingwood, B.R. A new directional simulation method for system reliability. Part II: application of neural networks. Prob. Engrg. Mech.., 19(4): 437–447, 2004.
Papadrakakis, M. Papadopoulos, V., Lagaros, N.D. Structural Reliability analysis of elastic-plastic structures using neural networks and Monte Carlo simulation. Comp. Meth. Appl. Mech. Engrg., 136: 145–163, 1996.
Papadrakakis, M., Lagaros, N.D. Reliability-based structural optimization using neural networks and Monte Carlo simulation. Comp. Methods Appl. Mech. Engrg., 191: 3491–3507, 2002.
Papaioannou, I., Fragiadakis, M., Papadrakakis, M. Inelastic Analysis of Framed Structures using the Fiber Approach. Proceedings of the 5th International Congress on Computational Mechanics (GRACM 05), Limassol, Cyprus, 29 June–1 July, 2005.
Porter, K.A., Beck, J.L., Shaikhutdinov, R.V. Sensitivity of Building Loss Estimates to Major Uncertain Variables. Earthquake Spectra, 18: 719–743, 2002.
Riedmiller, M. Advanced Supervised Learning in Multi-layer Perceptrons: From Back-propogation to Adaptive Learning Algorithms. University of Karlsruhe: W-76128 Karlsruhe, 1994.
Riedmiller, M., Braun, H. A direct adaptive method for faster back-propagation learning: The RPROP algorithm, in H. Ruspini (Ed.), Proc. of the IEEE International Conference on Neural Networks (ICNN), San Francisco, USA, pp. 586–591, 1993.
Schiffmann, W. Joost, M., Werner, R. Optimization of the back-propagation algorithm for training multi-layer perceptrons. Technical report, Institute of Physics, University of Koblenz, 1993.
Schuëller, G.I. (ed). Computational Methods in Stochastic Mechanics and Reliability Analysis. Comp. Meth. Appl. Mech. Engrg. — Special Issue, 194(12–16): 1251–1795, 2005.
Shome, N., Cornell, C.A. Probabilistic seismic demand analysis of non-linear structures. Report No. RMS-35, RMS Program, Stanford University, Stanford, USA, 1999.
Tsompanakis, Y., Lagaros, N.D., Stavroulakis, G.E. Hybrid soft computing techniques in parameter identification and probabilistic seismic analysis of structures, Advances in Engineering Software, 39: 612–624, 2008.
Vamvatsikos, D., Cornell, C.A. Incremental dynamic analysis. Eart. Engrg. & Str. Dyn., 31: 491–514, 2002.
Waszczyszyn, Z., Bartczak, M. Neural prediction of buckling loads of cylindrical shells with geometrical imperfections, International Journal of Non-linear Mechanics. 37(4): 763–776, 2002.
Zacharias, J., Hartmann, C., Delgado, A. Damage detection on crates of beverages by artificial neural networks trained with finite-element data. Comp. Meth. Appl. Mech. Engrg., 193: 561–574, 2004.
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Papadrakakis, M., Lagaros, N.D., Fragiadakis, M. (2010). Neural Networks: Some Successful Applications in Computational Mechanics. In: Waszczyszyn, Z. (eds) Advances of Soft Computing in Engineering. CISM International Centre for Mechanical Sciences, vol 512. Springer, Vienna. https://doi.org/10.1007/978-3-211-99768-0_6
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DOI: https://doi.org/10.1007/978-3-211-99768-0_6
Publisher Name: Springer, Vienna
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