Nonlinear dynamic response of functionally graded materials circular plates subject to low-velocity impact

Abstract

Based on the theory of the first-order shear deformation, a new set of equilibrium equations is developed by the principle of Hamilton. Using the Giannakopoulos’ contact model, the expressions of the contact force and the central deflection for a functionally graded materials circular plate are obtained. By using the orthotropic collocation point method and Newmark method, the unknown variable functions are discreted in space domain and time domain, and the whole problem is solved by the iterative method synthetically. Numerical results show that the material compositions, geometrical parameters and the initial velocity of the striking ball have great effects on the nonlinear dynamic response of the functionally graded materials circular plate.