Dynamic Analysis of Asynchronous Low-Velocity Impacts on Laminated Composite Plate

Studying asynchronous low-velocity impacts on the structure is one of the applicable problems in this field. In this research, the dynamic analysis of asynchronous low-velocity impacts with arbitrary times and locations on the orthotropic laminated composite plates has been investigated. The dynamic equations of motion are obtained using Hamilton’s principle with the assumptions of small deformations and the Hertzian contact law is used for modeling the contact between target and impactors. Then, the closed form solution of the governing equations is obtained using double Fourier expansion of displacement and loading fields. The accuracy of the results has been checked by comparing them to those in the literature in conjunction with the example considering the convergence of the results. Several numerical examples showed that the times and locations of the impacts play an important role on the superposition of induced waves which affect maximum contact forces, minimum and maximum of the plate transverse displacements, as well as the plate, absorbed energy. Modeling asynchronous low-velocity impacts of drop test could be mentioned as one of the significant results of this study. This modeling can substitute for experimental tests and decrease the costs.