Vibration analysis of the rectangular FG materials plate with variable thickness on Winkler-Pasternak-Kerr elastic foundation

This present study intends to examine the vibration response of the rectangular functionally graded materials (FGM) plate with variable thickness. The effect of elastic foundation, on the frequency, is investigated by using the first-order shear deformation theory. The linear thickness variation of the plate in one direction is taken into consideration. The variation of the mechanical properties within the FG plate is to be considered, accordance with the power law, in the thickness direction. The variational method is utilized to develop the equation of motion of the dynamic problem of the variable thick plate and, subsequently, fundamental solution is obtained by employing the Gelarkin's technique. The effect of foundation stiffness, boundary conditions and side to thickness ratio on the frequency factor are computed. The efficiency and accuracy of the present formulation are studied by comparing the numerical results with those published previously.Copyright (c) 2022 Elsevier Ltd. All rights reserved.Selection and peer-review under responsibility of the scientific committee of the International Conference on Advances in Materials and Mechanical Engineering. (ICAMME-2022).