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GLARE belongs to a family of fiber-metal laminates composed of alternate layers of prefabricated reinforced composites with unidimensional glass fibers and Aluminum 2024 sheets first invented for aeronautical applications.The dynamic response of structures, which are subjected to impact loading can be studied by employing equivalent mechanical systems consisting of springs and masses. It is then possible to derive the differential equations of motion using the equilibrium of forces, which are applied on the masses. In this research, a mathematical model of low velocity impact loading on Glass Fiber Reinforeced Aluninum Laminates was derived and simulated , as well as the dynamic effect of low energy impact with the simulation of finite element method (FEM) of on 4 types of GLARE were performed. Low velocity impact tests were conducted with drop-weight impact tower and the = central plate’s deflection, forcetime history, velocitytime history and energy-time diagrams obtained from the mathematical model and simulation of finite element analisys were compared with the experimental data obtained from the drop weight impact tower. The comparison of the results shows that the results of simulation of finite element are 4% and the results of the 8% mathematical model differ with experimental results and mathemathical model can use for low velocity impact modelings. JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES www.journalimcms.org ISSN (Online) : 2454 -7190 Vol.-14, No.-3, May-June (2019) pp 83-93 ISSN (Print) 0973-8975 J. Mech. Cont.& Math. Sci., Vol.-14, No.-3, May-June (2019) pp 83-93 Copyright reserved © J. Mech. Cont.& Math. Sci. Alireza Sedaghat et al 84

Mathematical, Numerical and Experimental investigation of low energy impact on Glass Fiber Reinforeced Aluminum Laminates