A Note on the Added Mass of Rectangular Plate

Abstract

Many researchers have studied the added virtual mass of rectangular plate vibrating in water down to date. Kito studied vibration of a rectangular tank with water for many years, and Kumai researched local vibration of ships, namely, vibration of a panel in bulkheads. Recently Nagamoto and Fujii and others wrote very useful reports on the added virtual mass of some reinforced rectangular plates. In this paper, the present authors calculated natural frequencies and shape modes of a rectangular plate with all edges supported in water by Ritz's method, and showed good agreement between theoretical frequencies and experimental ones. Some difference between two kinds of added virtual mass calculated from velocity potential φ in each two boundary conditions, such as φ=0 or ∂φ/∂n=0, is shown. Furthermore, the present authors present a modified Kito's formula, which gives natural frequencies of the plate partly in water.