Vibration Analysis of Stiffened Cylinders including Inter‐Ring Motion

An analytic method is presented for the determination of the vibrational characteristics of ring‐stiffened cylindrical shells. The stiffening rings, which are assumed to be uniform and evenly spaced, are treated as discrete members, and the inter‐ring shell motions are fully and exactly accounted for within the linear shell theory used in the analysis. The flexural, extensional, and torsional rigidities of the rings are retained in the analysis as well as all in‐plane inertia terms. Numerical comparison made with the results from existing energy methods and orthotropic model approach. It is found that for high circumferential wavenumbers, the inter‐ring displacements may become very pronounced.