Asymptotic Analysis of The Free In-Plane Vibrations of Beams With Arbitrarily Varying Curvature And Cross-Section
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]
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|Source:||Journal of Sound and Vibration|
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