Flexural Vibrations of Elastic Sandwich Plates

Abstract

The new flexural thecny of elastic sandwich plates developed in two recent papers2 includes the effects of transverse shear deformations, rotatory and translatory inertias, and flexural and extensional rigidities, with no limitations imposed upon the magnitudes of the ratios between the thicknesses, material densities, and elastic constants of the core and faces. On the basis of the new sandwich plate theory and the exact elasticity theory, flexural vibrations of sandwich plates are investigated in this paper. Numerical results yielded by the two theories show excellent agreement with each other, and the new sandwich plate theory is seen to b^ good for a very wide frequency range that is of practical interest. The importance of the various effects involved in the theory is assessed.