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Asymptotic Analysis of The Free In-Plane Vibrations of Beams With Arbitrarily Varying Curvature And Cross-Section

Tarnopolskaya, T.; de Hoog, F.; Fletcher, Neville H.; Thwaites, S.


An asymptotic analysis is carried out for the equations of free vibrations of a beam having varying curvature and cross!section[ The effect of splitting the asymptotic limit for eigenvalues into two families is revealed and its connection with boundary conditions is discussed[ The analysis of the properties of the asymptotic solution explains the phenomenon of transformation of mode shape with change in curvature and provides a method for predicting the spectrum of curved beams[ The...[Show more]

CollectionsANU Research Publications
Date published: 1996
Type: Journal article
Source: Journal of Sound and Vibration
DOI: 10.1006/jsvi.1996.0507


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