Generalization of Taylor’s Added-Mass Formula for Two Bodies

Abstract

A previous generalization of the Taylor formula, which expresses the added masses of a single body, moving with six degrees of freedom, in terms of the system of hydrodynamic singularities which generate the irrotational flow about the body, is further generalized for the case when another moving body is present. This work was stimulated by a study of the hydrodynamic interactions between an ice mass and a ground-based offshore structure. The results are applied to calculate the variation of the added masses as a rectangular cylinder approaches a circular one. A new simple relation between the added masses of a rectangle moving parallel to its longer or shorter side, and a more complete table of the added-mass coefficients for various thickness-length ratios than was previously available, is presented in the Appendix.