Free vibrations of rotating adhesively bonded orthotropic plates

Abstract

In this study, free vibration analysis of rotating adhesively bonded specially orthotropic plates is investigated. A first-order shear-deformation plate theory including geometric nonlinearities in the form of the von Karman strains and the effects of rotatory inertia and Coriolis is used to predict the free vibration frequencies and mode shapes of the system under consideration. In the analytical model, the thin interlaminar adhesive layer is taken into account in the form of mechanical springs. The governing non-linear equations of motion and the appropriate boundary conditions are derived by means of the variational method in conjunction with Hamilton's Principle.