Abstract

In this paper, the asymmetric vibrations of barrel-like shells of revolution are analyzed by using an improved thick shell theory. The equations of motion and the boundary conditions are determined from the stationary conditions of the Lagrangian of the shells of revolution. The equations of motion are solved analytically by a series solution and then natural frequencies and mode shapes are obtained. Effects of various parameters upon natural frequencies are clarified through analysis of numerical results. The results by the present improved thick shell theory are compared with those 'by the classical thin shell theory and the effects of the rotatory inertia and the shear deformation upon natural frequencies are clarified.

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