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Original Articles

Ship stability via the Mathieu equation

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Pages 139-167 | Received 12 Jul 1988, Published online: 27 Mar 2007

REFERENCES

  • ALLIEVI , A. G. , CALISAL , S. M. , and ROHLING , G. , 1986 , Motions and stability of a fishing vessel in longitudinal and tranverse seaways . Proc. of the 11th Ship Technology and Research (Star) Symposium, SNAME , Oregon , U.S.A. , pp. 13 – 31 ; 1987, Motions and stability of fishing vessels. Third International Symposium on Practical Design of Ships and Mobile Units. Norwegian Institute of Technology, Trondheim, Norway .
  • COMSTOCK , J. P. , 1967 , Principles of Naval Architecture ( New York Society of Naval Architects and Marine Engineers ).
  • GRIM , O. , 1952 , Rollschwingungen, Stabilitat and Sicherheit in Seegang . Schiffstdchnik , Helft 1 .
  • HIMENO , Y. , 1981 , Prediction of ship roll damping—State of the Art . University of Michigan , Report No. 239 .
  • KATO , H. , 1956 , On the approximate calculation of a ship's rolling period . Journal of the Society of Naval Architects of Japan .
  • KERWIN , J. E. , 1955 , Notes on rolling in longitudinal waves . International Shipbuilding Progress , 2 , 597 – 614 .
  • KORVIN-KROUKOVSKY , B. V. , 1955 , Investigation of ship motions in regular and irregular seas . International Shipbuilding Progress , 2 , 81 ; 1974, Ship motions and capsizing in astern seas. Tenth Symposium in Naval Hydrodynamics. ACR-204 Office of Naval Research, Department of The Navy, pp. 297–350 .
  • KORVIN-KROUKOVSKY , B. V. , and JACOBS , W. R. , 1957 , Pitching and heaving motions of a ship in regular waves . Annual Meeting , Society of Naval Architects and Marine Engineers , pp. 590 – 632 .
  • KRILOFF , A. , 1896 , A new theory of the pitching and heaving motions of ships in waves and the stresses produced by this motion . Transactions of the Institute of Naval Architects , 37 , 326 – 359 ; 1898, Ibid., 40, 135-196 .
  • ST DENIS , M. , 1951 , On sustained sea speed . Transactions of the Society of Naval Architects and Marine Engineers , 59 , 758 – 763 ; 1953, Ibid., 61, 280 .
  • WEINBLUM , G. , ST DENIS , M. , 1950 , On the motions of ships at sea . Transactions of the Society of Naval Architects and Marine Engineers , 58 , 184 – 231 .

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