Buckling and vibration of plates by hyperbolic shear deformation theory

Abstract

Hyperbolic shear deformation theory is used to determine the natural frequencies and buckling loads of elastic plates. The theory takes account of transverse shear effects and hyperbolic cosine distribution of the transverse shear strains through the thickness of the plate, hence it does not require shear correction factor. Governing equations are derived from the principle of virtual work. The closed-form solution of a simply supported plate subjected to in-plane loading has been obtained. Numerical results obtained by the present theory are compared with those of classical plate theory, first-order shear deformable theory, higher order theories and the exact theory available in the literature. The results obtained by present theory are in excellent agreement with the exact results and other higher order theories. Thus the credibility of the present refined theory is validated.