Abstract
Pre-stressed circular conical shells are analyzed for their vibration characteristics. Moderately thick shell theory with shear deformation and rotatory inertia has been used for the analysis. Second order strains with the in-plane and transverse non-linear terms are used for the derivation of the geometric matrix. A semi-analytical isoparametric finite element with three nodes per element and five degrees of freedom per node has been used for the solution. Full Fourier expansion is used in the circumferential direction to overcome the coupling that arises due to material anisotropy and torque pre-stress. The effects of various geometric and material properties on natural frequencies of pre-stressed circular cylindrical and conical shells has been analyzed for their free vibration characteristics.
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