Abstract
This paper presents the results of an investigation of free wave propagation in a circular cylindrical shell in vacuum, using the linear theory of elasticity. The study has resulted in identifying a previously unreported low‐phase velocity axisymmetric mode. This new mode is a low‐frequency branch of the first mode in a cylindrical shell and exists below the cutoff frequency of the second axisymmetric mode. The physical properties of the two low‐frequency branches are discussed and numerical results are presented along with preliminary data verifying the existence of the new mode. In addition, the results are used to demonstrate that present thin shell theory does not adequately describe the behavior of thin shells at low frequency.
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