The normal mode method is used to determine the steady state response of a simply supported, uniform thin cylindrical shell to a radical harmonic force with hysteretic damping included in the analysis. Numerical results are given for the variation with excitation frequency of the radial component of amplitude at different points along the shell for three levels of damping. The response at the resonances, corresponding to the first few modes of each shell, and their convergence, as the number of modes included in the solution is increased, are considered in detail. Novozhilov’s thin shell theory is used in the analysis, but the effects upon resonant response of using other shell theories are discussed.

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