Abstract
This paper is concerned with the virtual mass effect due to the presence of water on the natural frequencies of circular plates which are placed into a hole of an infinite rigid wall with one side exposed to water. This classical problem was solved by Lamb, but he provided limited theoretical results. To obtain the complete theoretical results, the so-called non-dimensionalized added virtual mass incremental factors, are obtained by employing the integral transformation technique in conjunction with the Fourier-Bassel series approach. It is found that the non-dimensionalized added virtual mass incremental factors for circular plates vibrating in an infinite rigid wall with one side exposed to water are larger than those for circular plates which rest on a free surface. This is due to the fact that the rigid wall constrains the motion of the water, thus resulting in an increase in the kinetic energy of the water. It is also observed that the effect of water on the natural frequencies generally decreases with order.
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