Abstract
Depending on its cross-sectional geometry, a ring can be modelled by at least three different theories. Kirkhope developed a simple ring theory which is applicable to out-of-plane vibrations of rings with small cross-sectional aspect ratio (i.e. compact rings and shell-like rings). For plate-like rings, the present analysis uses a Levinson-type plate theory to analyze the out-of-plane vibrations. Also, a three-dimensional finite-element analysis using NASTRAN shows better agreement than results of Kirkhope’s ring theory and Mindlin’s thick plate theory.
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