MODAL CHARACTERISTICS OF SIMPLY SUPPORTED LIGHTWEIGHT LONG CYLINDERS

ABSTRACT In the sludy of flee vibration of solid cylinders a linear viscoelastic cylinder of an infinite length models the medium. The analytical modeling is based on three dimensional wave propagation utilizing constant complex moduli. The solution is achieved by determining the displacement and stress on the surface, and by complying with requirernents at the boundary. Analysis was conducted to express displacement stresses at any point of the solid cylinder to boundary stress. Dimensionless natural frequencies and mode shapes for different circumferential and axial wave numbers are determined