Vibration of Circular Plates in Contact With Water

Abstract

This paper is concerned with the virtual mass effect on vibrating circular plates due to the presence of water. Natural frequencies in water can be estimated from natural frequencies in air by using the approximate formula, which mainly depends upon the so-called added virtual mass incremental factor. The added virtual mass incremental factor is a function of geometry, material properties of the plates and mostly boundary conditions of the plates, and water domain. For practical reasons, the added virtual mass incremental factor is likely to be nondimensionalized. In this paper, the nondimensionalized added virtual mass incremental factors for circular plates having simply-supported, clamped, and free edges are obtained by employing the integral transformation technique in conjunction with the dual integral equation method. It is found that the effect of water on the natural frequencies decreases with order.