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Nonlinear frequency shifts in quasispherical‐cap shells: Pitch glide in Chinese gongs

Fletcher, Neville H.


The large‐amplitude vibrational behavior of a shallow spherical‐cap shell is investigated theoretically using simple arguments. The results of this approximate analysis are expressed in the form of appealingly simple nondimensional quantities. It is shown that the frequency of the fundamental mode of such a shell falls by as much as 50% as the vibration amplitude is increased to approximately the shell depth. For even larger amplitudes the frequency rises, and it exceeds the small‐amplitude...[Show more]

CollectionsANU Research Publications
Date published: 1985
Type: Journal article
Source: The Journal of the Acoustical Society of America
DOI: 10.1121/1.392664


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