HAMILTON'S PRINCIPLE, LAGRANGE'S METHOD, AND SHIP MOTION THEORY.

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Abstract

Lagrange's equations of motion, describing the motion of several bodies on or below a free surface, are here derived from Hamilton's variational principle. The Lagrangian density is obtained by extending Luke's principle to the wave-radiation problem, and the hydrodynamical loads on the bodies are expressed in terms of the Lagrangian density and its derivatives with respect to the generalized coordinates of the bodies.

Original languageEnglish
Pages (from-to)229-237
Number of pages9
JournalJournal of Ship Research
Volume28
Issue number4
StatePublished - Dec 1984

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