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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 712974, 18 pages
Research Article

Prediction of Optimal Design and Deflection of Space Structures Using Neural Networks

1The Iranian Academic Center for Education, Culture and Research, Kerman 7616914111, Iran
2School of Civil Engineering, Universiti Sains Malaysia, Nibong Tebal, Penang, Malaysia
3City University College, Petaling Jaya, Selangor, Malaysia

Received 8 October 2012; Accepted 18 November 2012

Academic Editor: Siamak Talatahari

Copyright © 2012 Reza Kamyab Moghadas et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The main aim of the present work is to determine the optimal design and maximum deflection of double layer grids spending low computational cost using neural networks. The design variables of the optimization problem are cross-sectional area of the elements as well as the length of the span and height of the structures. In this paper, a number of double layer grids with various random values of length and height are selected and optimized by simultaneous perturbation stochastic approximation algorithm. Then, radial basis function (RBF) and generalized regression (GR) neural networks are trained to predict the optimal design and maximum deflection of the structures. The numerical results demonstrate the efficiency of the proposed methodology.