Galerkin method

Engineering

Statistics

Materials science

Shear (geology)

Boundary value problem

Bending

Classical mechanics

Bending of plates

Physics

Finite element method

Mathematics

Equations of motion

Plate theory

Mathematical analysis

Composite material

Parametric statistics

Structural engineering

Steel and Composite Structures, an International Journal

The current work, present dynamic analysis of the FG-sandwich plate seated on elastic foundation with various kinds of support using refined shear deformation theory. The present analytical model is simplified which the unknowns number are reduced. The zero-shear stresses at the free surfaces of the FG-sandwich plate are ensured without introducing any correction factors. The four equations of motion are determined via Hamilton\' principle and solved by Galerkin\'s approach for FG-sandwich plate with three kinds of the support. The proposed analytical model is verified by comparing the results with those obtained by other theories existing in the literature. The parametric studies are presented to detect the various parameters influencing the fundamental frequencies of the symmetric and non-symmetric FG-sandwich plate with various boundary conditions.

A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions