Nonlinear frequency shifts in quasispherical-cap shells: Pitch glide in Chinese gongs
نویسنده
چکیده
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 ashell falls by as much as 50% as the vibration amplitude is increased to approximately the sl•ell depth. For even larger amplitudes the frequency rises, and it exceeds the small-amplitude frequency when the amplitude ismore than about twice the shell depth. The influence of shell thickness i considered and increasing thickness i shown to decrease the frequency shift. This analysis shown to account for the pitch glide behavior fcertain Chinese opera gongs.
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