Experimental Study and Mathematical Modeling of Deformation of Rectangular Plates under the Impact Load

The purpose of this research is to perform experimental study and modeling of the plastic deformation of rectangular plates under the low rate impact loading by drop hammer system. In experimental section, some experiments were conducted on rectangular plates with different levels of energy in order to survey the mechanical behavior of steel and aluminum plates according to applied load. The modeling section consists of presenting an explicit function for experimental data by singular value decomposition (SVD) based on non-dimensional parameters and also multi-objective modeling and design of adaptive neuro-fuzzy inference system (ANFIS) by genetic algorithm. Generally, the aim of modeling is a reliable and satisfactory prediction of deflection – thickness ratio of plates under impact loads. A comparison between modeling results and experimental data is done in order to validate the results. The investigation of training and prediction data errors which has been based on root-mean-square error (RMSE) and coefficient of determination (R2) shows that the obtained results of the optimal design of ANFIS is closer to experimental results than mathematical modeling by SVD, with the exception that a mathematical function based on experimental data is presented by SVD method. Therefore, using these presented models for deflection-thickness ratio of plate under impact loading is desirable.