Flexural Vibrations of Finite Cylindrical Shells of Various Wall Thicknesses–I

In this paper, the frequency-aspect ratio curves have been obtained for the flexural vibrations of finite, isotropic, cylindrical shells of various wall thicknesses, having symmetric motion about their central plane. The stress-free boundary conditions on the lateral surfaces of the shells are satisfied exactly; whereas the stress-free boundary conditions on the flat surfaces of the shells are satisfied to a good degree of approximation. In order to show the validity of the theory, the residual stresses at the flat ends of the shells have been given for some random cases. For these random cases, the displacement patterns have also been given.