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On the Lagrange’s Method for Floating Bodies

[+] Author Affiliations
Keyvan Sadeghi

University of Newcastle upon Tyne, Newcastle upon Tyne, UK

Paper No. OMAE2006-92511, pp. 567-573; 7 pages
  • 25th International Conference on Offshore Mechanics and Arctic Engineering
  • Volume 1: Offshore Technology; Offshore Wind Energy; Ocean Research Technology; LNG Specialty Symposium
  • Hamburg, Germany, June 4–9, 2006
  • Conference Sponsors: Ocean, Offshore, and Arctic Engineering Division
  • ISBN: 0-7918-4746-2 | eISBN: 0-7918-3777-7
  • Copyright © 2006 by ASME


It is shown that, in the context of a linear theory, all fluid radiation actions on a floating body can be solely represented by a part of the fluid mechanical energy corresponding to the wetted surface of the body. In this regard, it is indicated that the linear radiation damping can be expressed by a fluid kinetic energy which has a bilinear form. Then from the Lagrange’s equations of motion, an equation of motion is derived that is called the conjugate Larange’s equation of motion. A variant of Hamilton’s principle is also introduced as the variational generator of the conjugate Lagrange’s equation of motion.

Copyright © 2006 by ASME
Topics: Floating bodies



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