ABSTRACT
The large amplitude transverse vibration of orthotropic sandwich elliptic plates with an orthotropic core of uniform thickness with upper and lower faces of different thicknesses, has been discussed. Compared to the core thickness, measured from the middle plane of the faces, the face thicknesses of different magnitudes are supposed to be thin enough to ignore variations of stress in the thickness direction of the faces. The governing equations are obtained by applying D’Alembert’s principle, for which the total strain energy per unit area of the orthotropic sandwich plate with an orthotropic core is to be used. The governing nonlinear integro-partial differential equation obtained has been solved by Galerkin’s procedure. Certain typical values of the various parameters of the problem are considered for a numerical computation of the ratio of the nonlinear to linear frequency and corresponding graphs have been drawn. The results for a circular sandwich plate will be obtained as a by-product.
