Abstract
The free, undamped vibration of an isotropic circular cylindrical shell is analysed with higher order displacement model, giving rise to a more realistic parabolic variation of transverse shear strains. The method accounts for in-plane inertia, rotary inertia, and shear deformation effects on the dynamic response of cylindrical shells. The frequencies obtained from the present analysis, shear deformation theory, and Flügge theory are compared with the exact elasticity results. It is found that the frequencies predicted by the present analysis are closer to exact values than those predicted by the shear deformation theory, especially for cases with shorter wavelengths.
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