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Vibration of Beams and Helices with Arbitrarily Large Uniform Curvature

Tarnopolskaya, T; de Hoog, F R; Tarnopolsky, Alex Z; Fletcher, Neville H


An analytical, numerical, and experimental study of the vibrational modes of beams with constant curvature, ranging from small values up to helices with large numbers of turns, is presented. It is shown that, after an initial stage at low curvature in which extensional symmetrical modes hybridize so as to become inextensional, all modes show a decrease in frequency with increasing beam curvature. The frequency reaches a minimum at a value of the curvature which is a function of mode number and...[Show more]

CollectionsANU Research Publications
Date published: 1999
Type: Journal article
Source: Journal of Sound and Vibration


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