Abstract
This paper deals with the natural frequency of an edge-fixed disc in contact with a liquid, which acts as an added mass to the disc reducing its natural frequency. Calculations and experiments are carried out for the following two cases : Disc-shaped liquid is kept on the disc (1) with its free surface parallel to the disc and (2) surrounded by rigid walls without air content. In Case (1) the natural frequency of the disc decreases with an increase in liquid depth, and in Case (2) vice versa. The experimental results agree well with the calculations by means of finite element method within 4.3% error for the nodeless mode and for the mode with one diametral- and zero circular node. A reduction formula for the reducing ratio of the frequency is derived for arbitrary disc thickness, radius and density and also for arbitrary liquid density.
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