Abstract
This paper presents a simple semi-analytical approach for free vibration of cylindrical shell with initial prestress based on equivalent load method and the Donell-Mushtari theory. In most practical applications, shells are subjected to static loadings causing internal stress field. The presence of such initial forces like internal pressure, axial force, centripetal force and torque moment significantly affects the natural frequency spectra. According to Calladin’s equivalent load method initial stress field create additional curvatures and can be added as additional terms to the basic equations. The results of presented method agree well with experimental data found in the literature. Effects of elastic support stiffness, the shell length and radius to thickness ration on natural frequencies are investigated.
Published Version
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