ANALYSIS OF THICK PLATES ON ELASTIC FOUNDATION BY BACK-PROPAGATION ARTIFICIAL NEURAL NETWORK USING ONE PARAMETER FOUNDATION MODEL

Abstract

In this study, the purpose of this paper is prediction of nondimensional maximum displacement and bending moments of thick plates on Winkler-type elastic foundation using Artificial Neural Network. For this purpose, training and testing database were created by using a computer software, coded in Fortran, based on Finite Element Model. An eight-noded (PBQ8) quadrilateral finite element based on Mindlin plate theory and Winkler foundation model are adopted for the finite element solution. Nondimensional subgrade reaction modulus, span/thickness ratio of the plate and aspect ratio of the plate were considered as input parameters and nondimensional vertical displacement and bending moments of thick plates were considered as output parameters. It is seen that the solutions by ANN agree very well with the solutions by FEM, and ANN significantly reduces analysis time

Keywords

• Artificial neural network, back propagation, Thick Plate, Elastic Foundation, Winkler Model

References

1. [1] Civalek, Ö. and Calayir, Y., İnce Dikdörtgen Plakların Titreşim Frekanslarının Yapay Sinir Ağları Yaklaşımı İle Tahmini, İMO Teknik Dergi, 275,. 4161-4176, 2007.
2. [2] Civalek, Ö. and Ülker, M., Dikdörtgen Plakların Doğrusal Olmayan Analizinde Yapay Sinir Ağı Yaklaşımı, İMO Teknik Dergi, 213, 3171-3190, 2004.
3. [3] Budak, A. and Can, İ., Yapay Sinir Ağları İle Tek Eksenli Bileşik Eğilme Altındaki Betonarme Kolon Kesitlerin Donatı Hesabı, Fırat Üniv. Fen ve Müh. Bil. Dergis,. 20(1), 135-143, 2008.
4. [4] Civalek, Ö. and Çatal, H.H., Geriye Yayılma Yapay Sinir Ağı Kullanarak Elastik Kirişlerin Statik ve Dinamik Analizi, DEÜ Mühendislik Fakültesi Fen ve Mühendislik dergisi, 6(1), 1-16, 2004.
5. [5] Ziaie, A., Mahmoudi, M., and Kyioumarsi, A., Using Neural Network in Plate Frequency Calculation, International Journal of Mathematics and Computers in Simulation, 2(2), 179-176, 2008.
6. [6] Yang, J. and Cheng, J, Determination of the Elastic Constants of a Composite Plate using Wavelet Transforms and Neural Networks, J. Acoust. Soc. Am., 111(3), 1245-1250, 2002.
7. [7] Graupe, D., Principles of Artificial Neural Networks, 2nd Edition, World Scientific Publishing Co. Pte. Ltd., USA, 2007.
8. [8] Weaver, W. and Johnston, P.R., Finite Elements for Structural Analysis, Englewood Cliffs: NJ: Prentice-Hall, Inc, 1984.