Abstract

This paper is concerned with the effect of fluid on the natural frequencies of circular plates vibrating axisymmetrically in contact with fluid. The ratio between the natural frequencies in fluid and the natural frequencies in air is a function of so-called added virtual mass incremental (AVMI) factor, which reflects the increase of inertia due to the presence of fluid. In this paper, the non-dimensionalized added virtual mass incremental (NAVMI) factor for circular plates having simply supported, clamped and free edges is obtained by employing the integral transformation technique in conjunction with the dual integral equation method. It is shown that the effect of fluid on the natural frequencies decreases with order.

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