An elastic flat plate of circular form is assumed to be attached, to the top of a circular water tank, which is completely filled up with water. The side-wall and the bottom wall of the tank are assumed to be completely rigid. When the inside-water makes a vibratory motion, the top-plate will also vibrate, transversely. In this paper, the author give the result of his study about the free vibration of this circular plate, which is in contact with water, and which vibrates simultaneously with the water. The vibration is assumed to be of infinitesimally small amplitude. The water is assumed to be an incompressible, non-viscous fluid.
The author shows a formula for the natural frequency of system under consideration, in the form of a determinantal euation (of infinite order). The mode of dependence of the natural frequency ωto the factor U, which represents the mass-ratio, is examined. And numerical values for the case of n=1 are given.
It is pointed out that the author's method does not apply, without further modification, for the vibration-modes which have no nodal line (n=0).
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