Abstract
Asymptotic solutions are obtained for the eigenvalue problems of the inextensional free vibrations of circular cylindrical shells, considering all 45 possible combinations of the boundary conditions, characterizing the simply supported, the clamped, and the free ends. In addition to the well-known Rayleigh and Love types of inextensional vibrations for shells with the free-free ends, a type represented by a linear combination of those classical ones is found in cases where one end is free and the other is supported hi such a manner that it can move freely in the axial direction. The existence of the three types of inextensional mode is proved by an experiment, and the mode shapes are visualized by holographic interferometry.
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