Wind-induced oscillations of circular cylindrical shells

A theoretical analysis for the free vibration of clamped/free and clamped/ ring stiffened cylindrical shells has been developed and programmed for digital computer solution. The analysis is capable of handling vibration characteristics of cylindrical shells, in the swaying (cantilever mode n = l) as well as in the ovalling or breathing modes (n ≥ 2; n is circumferential wave number), with arbitrary length to radius ratio and radius to thickness ratio. In the case of a shell with an end ring it also allows for variation in the non -dimensional ring characteristics (ring breadth/shell radius, ring depth/shell radius). Three translational shell inertia components are included and the effects of ring eccentricity and mass and rotary inertia are examined. The paper examines the accuracy of various engineering approximations as compared with more exact solutions from Flügge's thin shell equations and discusses the error in terms of a non-dimensional frequency parameter. [Continues.]