The Vibration of Rotating Cylindrical Shells

概要

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The free vibration of rotating cylindrical shells is examined in reference to that of a thin rotating ring. The results of the experiment and the theoretical analysis for four kinds of boundary conditions (i,e., (A) both ends clamped; (B) simply supported without axial constraint; (C) simply supported with axial constraint; and (D) clamped at one end and free at the other end) are presented. It is found that the dependence of the frequencies upon the rotating speeds is insignificantly affected by the boundary conditions, and thus can be represented by the simple relation for a thin rotating ring, provided that the frequencies and rotating speeds are normalized by the natural frequencies of a non-rotating cylindrical shell.
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