Added Masses of Thin Rectangular Plates Calculated from Potential Theory

Abstract

In order to compute unsteady-pressure distributions and added mass of thin rectangular plates in incompressible, nonlifting potential flow, a description by means of a dipole distribution upon the plates was used. The distribution is written as a finite double series with unknown coefficients, which are determined from the boundary condition satisfied at a corresponding or higher number of discrete points. The quadratures are performed numerically. Calculations were carried out on a computer for 1 1 aspect ratios from 0.1 through 1.0. The results are presented in tables and graphs, and are compared with published experimental data and with empirical formulas. The results of the theoretical calculations are in close agreement with Pabst's measurements and with the formulas derived from these data by Pabst and by Blagoveshchensky. From these, the measurements published by Yu and his empirical formula differ up to 22 percent, which may be due to the low frequencies used by Yu.