Transient vibration and sound radiation analysis of simply supported functionally graded sandwich plates

Vibroacoustic response of simply supported functionally graded sandwich plates under transient loading is reported in this work. Simply supported square sandwich plate configurations of different thickness ratios and material property gradation in the core and face sheet are analyzed. The effective material properties of the sandwich plate are derived by considering an approximate laminate model where the Poisson's ratio of the constituents of the sandwich are assumed to be constant and the plate kinematics is modelled using the first-order shear deformation theory. The structural system matrices of the functionally graded sandwich plate and plate deformations are computed using the finite element method. The time history of the structural response is obtained using the Newmark Beta time marching scheme. The radiated acoustic pressure in the far-field is determined using the time domain Rayleigh integral that is solved numerically by an elementary radiator approach. A detailed parametric study investigates the influence of the volume fraction index and thickness ratio on the transient vibroacoustic response of several sandwich configurations.