On the resonance frequencies of water-loaded circular plates

The studies on the increase of inertia, and the corresponding reduction in frequency, of plates when vibrating in water have been confined mainly to the lower modes of vibration and for plate radii much less than a wavelength of sound in the fluid. In this paper, a method is presented which, subject to certain approximations, permits the evaluation of the influence of the fluid on the frequency of any vibration mode whose deflection curve in a vacuum is known. The method has been applied to water-loaded circular plates vibrating in their axisymmetric modes.