Abstract
The vibration of cylindrical shells subjected to initial stresses is studied on the basis of a shell theory including shear deformation and rotatory inertia. The original equation system with five unknowns is reduced to one in three unknowns. An analysis is carried out for cylindrical shells with simply supported ends and the effects of initial stresses as well as shear deformation and rotatory inertia on the frequencies and the buckling forces are examined, and results are compared with those obtained by using classical thin shell theory. Results for initially unstressed shells are compared with those obtained by using the Mirsky-Herrmann theory.
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