Free vibration analysis of functionally graded (FG) thin-to-moderately thick annular plates
subjected to thermal environment and supported on two-parameter elastic foundation is
investigated. The material properties are assumed to be temperature-dependent and graded
in the thickness direction. The equations of motion and the related boundary conditions,
which include the effects of initial thermal stresses, are derived using the Hamilton's
principle based on the first order shear deformation theory (FSDT). The initial thermal …

Abstract Analysis and numerical results for the free axisymmetric and non-axisymmetric
vibrations of functionally graded annular plates elastically supported on the ring support
have been presented on the basis of classical plate theory. The quasi-Green's function has
been employed to solve to boundary value problem of free vibration of functionally graded
annular plate with free outer edge and clamped, simply supported and free inner edges.
Additional properties of the quasi-Green's function were presented and discussed for the …