ABSTRACT
For the analysis of large amplitude transverse vibration of thin isotropic, homogeneous sandwich parabolic plate with an isotropic core, a new set of governing equations has been formulated. A thin homogeneous elastic sandwich parabolic plate with an isotropic core along with isotropic upper and lower faces of identical thickness has been considered. The faces respond to the bending and membrane actions of the plate. The core is assumed to transfer only shear deformation. The resulting nonlinear differential equation has been solved with the help of Galerkin’s technique. Numerical computation for a comparative study of the nonlinear to linear frequencies versus ratio of the nondimensional amplitude for movable as well as immovable edge conditions has been done.
