The Flexural Vibrations of Thin Laminated Cylinders

Abstract

A method is developed for calculating the natural frequencies of vibration of a thin right circular cylinder. The vibration pattern may contain any number of peripheral or axial nodes. The cylinder is assumed to consist of a large number of thin laminations of two dissimilar materials, arranged alternately, and with the plane of a lamination normal to the axis of the cylinder. Built-in and simply supported end conditions are considered.