Free Vibration Analysis Of Two-Layered Shells Of Revolution

An analytical solution procedure is presented for the free vibrations of shells of revolution having two bonded elastic layers and circular meridional curvature. A set of governing equations of motion are obtained by applying Hamilton's principle to the Lagrangian function of the shell vibration. These equations of motion are higher order partial differential equations having variable coefficients, and analytical solutions are obtained by expanding these variable coefficients into infinite power series. Effects of various parameters, such as material properties of the shell layers, upon natural frequencies and mode shapes are investigated.