Axisymmetric Vibrations of Thin Shells of Revolution

Abstract

In this paper, by an improved thick shell theory, we analyze the axisymmetric vibrations of barrel-like shells of revolution, which have been much used in various chemical plants, atomic plants and so on. We solve the equations of vibration exactly by a series solution. As numerical examples, we obtain natural frequencies and mode shapes of symmetric shells of revolution with both ends clamped and with both ends simply supported to clarify their characteristics. The results by the present theory are compared the ones by the thin shell theory and the effects of the shear deformation and the rotatory inertia upon the natural frequencies and the mode shapes are clarified.