where a% represents the sectional infinite frequency added mass for heave oscillation. and integration of these coefficients are over the length of the ship forward of section in question ‘lx*.” Kkj and C,& are the memory functions and radiation restoring coefficients associated with the loads, and the superscript 1 is used to distinguish these coefficients from those used in the equations of motion (2).
The frequency on the portion of the ship forward of a given cross section was presented in Salvesen et al (1970). Rearranging that expression the forces may be represented in terms of separate contributions from the heave and pitch motions R{i and R&$