Prediction of Natural Frequency of Laminated Composite Plates Using Artificial Neural Networks

Abstract

The paper is focused on the application of artificial neural networks (ANN) in predicting the natural frequency of laminated composite plates under clamped boundary condition. For training and testing of the ANN model, a number of finite element analyses have been carried out using D-optimal design in the design of experiments (DOE) by varying the fibre orientations, -45˚, 0˚, 45˚ and 90˚. The composite plate is modeled using linear layered structural shell element. The natural frequencies were found by analyses which were done by finite element (FE) analysis software. The ANN model has been developed using multilayer perceptron (MLP) back propagation algorithm. The adequacy of the developed model is verified by coefficient of determination (R). It was found that the R 2 (R: coefficient of determination) values are 1 and 0.998 for train and test data respectively. The results showed that, the training algorithm of back propagation was sufficient enough in predicting the natural frequency of laminated composite plates. To judge the ability and efficiency of the developed ANN model, absolute relative error has been used. The results predicted by ANN are in very good agreement with the finite element (FE) results. Consequently, the D-optimal design and ANN are shown to be effective in predicting the natural frequency of laminated composite plates.

Free Vibration Analysis of Stiffened Laminated Composite Plates

“…The dynamic behavior of the structure is defined by a special frequency spectrum which consisting of an infinite number of natural frequencies and mode shapes which can be found by knowing the geometrical shape, mass distribution, stiffness and boundary conditions of the structures. In general, the equation of motion for a linear dynamic system is [1][2][3][4][5][6][7][8][9][10][11][12]:…”

“…To assessing the natural frequency of the stiffened laminated composite plates, the modal analysis is required to obtain the data that are required to avoid resonance in structures affected by external periodic dynamic loads. Using the finite element method, many researchers have been devoted to the analysis of vibrations and dynamics, buckling and post buckling behavior, failure and damage analysis of laminated composite plates [1][2][3][4][5][6][7][8][9][10][11][12]. The finite element method is especially versatile and efficient for the analysis of complex structural behavior of laminated composite plates.…”

“…The vibration behavior of laminated composite plates without stiffener has been studied by extensive researchers [1][2][3]5,7,8,11,12]. Also, a number of analytical and numerical models for the free vibration response of stiffened laminated composite plates have been presented in the literature.…”

Study on effect of layup angles on Vibration of Glass Fiber Reinforced Polymer (GFRP) Plate

“…Consequently, the D-optimal design and ANN are shown to be effective in predicting the natural frequency of laminated composite plates. [8] A. Pagani, E. Carrera, J. R. Banerjee, P. H. Cabral, G. Caprio and A. Prado presented their paper on "Free Vibration Analysis of Composite Plates by Higher-Order 1D Dynamic Stiffness Elements And Experiments." In this paper a novel approach for free vibration analysis of composite plate-like structures was introduced.…”

Laminated Composites Buckling Analysis Using Lamination Parameters, Neural Networks and Support Vector Regression

“…The high correlation between the predicted values by neural network and finite element analysis validated the metamodel. Reddy et al (2012) studied the D-optimal design sampling plan and artificial neural network in the natural frequency prediction of laminated composite plates. Todoroki et al (2011) proposed a Kriging surrogate model in order to predict and maximize the fracture load of laminated composites using lamination parameters.…”