Vibration and stability of functionally graded porous (FGP) sandwich plates under moving mass

Abstract

The vibration response and stability of functionally graded porous (FGP) sandwich plates under moving mass are explored. The self-weight of the FGP sandwich plate is taken into account in this study. A four-variable equivalent-single-layer (ESL) plate theory is applied to this problem. Three different forms of porous cores are considered: symmetric porosity distribution (SPD), asymmetric porosity distribution (APD) and uniform porosity distribution (UPD). The governing equations of motion are derived based on Hamilton’s principle and then solved by using the eigenfunction expansion method in combination with the differential quadrature method (DQM). The stability analysis is conducted using the complex eigenvalue method. Convergence study and verification study are performed to show the reliability and accuracy of the proposed method. The effects of some key parameters such as moving mass’s weight and velocity, porosity coefficient, porosity distribution pattern, etc. on the vibration response and stability of the FGP sandwich plates are investigated.