After a brief review of the literature, since a 1952 paper by Grim, on the intact stability of a ship in a following sea, the Author, of the Technical University of Istanbul, presents a new approach in the assessment of this stability. The spectrum of a following seaway is narrow-banded because of the Doppler effect, and this suggests (for this approach) that the event is almost deterministic and can be replaced by the sum of a deterministic process and a broad-band stationary process. This replacement is equivalent to the use of Grim's standing wave with an additional broad-band stationary process, and a corresponding equation of rolling motion is presented. The asymptotic method of Bogoliubov and Mitropolskii (described in a 1961 publication) is used to obtain the probability function of the phase distribution, and the stochastic stability of motion is derived in an explicit analytical form for the case of main parametric resonance. To elaborate the stability results further, some limiting cases are studied by using asymptotic expansions of the Bessel functions occurring in the expressions. One of several conclusions resulting from this study is that the probability function for the roll amplitudes, and hence the stability of motion, ultimately depends on the distribution of phase angles, and that the roll-damping coefficient plays a central role in the stability of motion. Order from BSRA as No. 51,201.

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  • Corporate Authors:

    Seehafen-Verlag Erik Blumenfeld

    Celsiusweg 15, Postfach 1347
    2000 Hamburg 50,   Germany 
  • Authors:
    • Odabasi, A Y
  • Publication Date: 1979-3

Media Info

  • Features: References;
  • Pagination: p. 223
  • Serial:

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Filing Info

  • Accession Number: 00308387
  • Record Type: Publication
  • Source Agency: British Ship Research Association
  • Files: TRIS
  • Created Date: Mar 20 1980 12:00AM