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The Unified Theory of Ship Motions,
MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF OCEAN ENGINEERING
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A linear theory is presented for the heave and pitch motions of a slender ship, moving with forward velocity in calm water. The velocity potential includes a particular solution similar to that of the high-frequency strip theory, plus a homogeneous component which accounts for interactions along the length in an analogous manner to the low-frequency ordinary slender body theory. The resulting unified theory is valid more generally for all frequencies of practical importance. Computations are presented for the added-mass and damping coefficients of a floating spheroid, a Series 60 hull, and a frigate. Comparisons with experimental data and with zero-speed exact theories confirm the utility of the unified theory. This theory can be used to analyse the performance of elongated wave-energy absorbers. This application is illustrated for a hinged Cockerell raft.
APPROVED FOR PUBLIC RELEASE