Vibrations of Conical Shells with Variable Thickness

Abstract

This paper is concerned with an investigation of free vibrations of a truncated conical shell by means of the improved theory of shells. The equations of vibration and the boundary conditions are in general forms developed from stationary conditions of Lagrangian of a conical shell. These equations are solved in the conical shell with linearly varied thickness along axis add the effects of boundary conditions, number of nodal generators, thickness and semi-vertex angle on frequencies are discussed.