Abstract
In this paper we present a study of free vibration of cylindrical shells on the basis of three dimensional exact theory. The studied boundary condition is simple-simple supported boundary condition. Extensive frequency parameters have been obtained through resolving frequency equations. The results of frequency parameters have been obtained by computers programs and have been compared with the results of classical theories. Keywords: Free vibration, Cylindrical shells, Frequencies, Exact elasticity theory
Highlights
Cylindrical shells are increasingly used in the engineering and aero space industry
Exact elasticity theory The theory is used for the analysis of vibration of cylindrical shells are generally classical
By using exact elasticity theory components of transverse stress and strain are added to cylindrical shells vibration equation
Summary
Cylindrical shells are increasingly used in the engineering and aero space industry. Almost all the x x. 2u t 2 structure that are made of cylindrical shells are under dynamical loads and have vibration potential. Love (1995) and flűgge (1993) are valid for small displacements used for the analysis of cylindrical shells vibration. The studies on cylindrical shells vibration on the rx x r r. Exact elasticity theory The theory is used for the analysis of vibration of cylindrical shells are generally classical. We can classify classical theories in two types. The first type is applied for plate stress for small displacement. The stress r, , x, xr, x and displacements u, v and w are defined in Fig.[1]. ; in classical theories, component of transverse v x u. Xr w x u r stress and strain are ignored. By using exact elasticity theory components of transverse stress and strain are added to cylindrical shells vibration equation.
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