ACOUSTIC VIBRATION OF A LIQUID FILLED DISTORTED CIRCULAR CYLINDRICAL-SHELL

A theory is developed whereby acoustic and structural modes are coupled by means of geometrical distortions in a circular cylindrical shell filled with liqued. The prediction is that a circularly symmetric discrete frequency acoustic wave in the liquid will excite in the shell not only a circular symmetric ‘breathing mode’ (which would be the only one present in an undistorted shell) but also short wavelength flexural waves at the excitation frequency. It is possible, even for quite small distortions, for the displacement amplitude of some of these flexural waves to exceed that of the ‘breathing mode’. The results of calculations for a particular shell are shown to be consistent with experimental results. Copyright © 1978 John Wiley & Sons, Ltd