Abstract

In this paper are derived the equations of nonlinear flexural vibrations for a thin circular cylindrical shell. The assumptions employed in the various steps of derivation are clearly set forth. Axial body force terms which may be of practical importance are included in the equations. Nonlinear periods are obtained for the free vibrations case. Numerical examples are given for a shell with a radius thickness ratio of 100 and two numbers of circumferential waves, 8 and 10. The results are plotted and compared with a previous study on flat plates. In these examples, nonlinear effects are found to be considerably less manifest in cylinders than in corresponding flat plates.

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