Bài báo khoa học

Based on the simple first-order shear deformation theory with four displacement unknowns, the free vibration and dynamic response of the FGM plate with porosities resting on Kerr’s elastic foundation are presented by using Navier’s solution. The equations of motion are derived from Hamilton’s principle considering the neutral surface position, so it has a simpler form than when choosing a reference coordinate system located on the middle plane. The Runge-Kutta method with the initial conditions is utilized to analyze the dynamic response of the plate under excited loads. Verified examples of both the free vibration and dynamic response of the plate demonstrate the reliability of the proposed approach. The influence of material and elastic foundation parameters on plate vibrational characteristics is investigated through numerical examples.