Free Vibration of Functionally Graded Material Plates by the Artificial Neural Network

Present research work aims to analyze free vibration of rectangular Functionally Graded Material Plates with Non-ideal simply supported boundary conditions which one of its edges has small non-zero deflection and moment. Using the classical theory of plates, the governing equations of the plates are obtained, using perturbation theory, the equation of the plane and the critical frequency are calculated. By Training neural networks intend to determine the critical frquancy functionally graded plates by various input parameters length, width and Integer half-wave coefficients. In this article, the back propagation method is used to design the neural network algorithm and Using Matlab software, modeling and estimation of the critical vibration frequency for different modes have been done based on the parameters affecting the plates. Using the model designed by the neural network, it has been shown that the estimated natural frequency error is less than 0.005.