Abstract
In this paper, we analyze the asymmetric vibrations of a combined system of a barrel-like shell of revolution and circular plate lids. The Lagrangian of the combined system is expressed in quadratic forms of boundary values, and the frequency equations can be obtained from the minimum conditions of that Lagrangian with respect to unknown boundary values. Effects of the circular plate lids, the ratio of thickness of the circular plate to that of the shell of revolution, circumferential wave numbers upon natural frequencies of a combined system are clarified in a discussion of numerical results. Transfer phenomena of the mode shapes are also investigated.
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