In this paper various techniques of dynamical system analysis are used to analyze the effect of damping on large amplitude nonlinear ship-rolling motion of a patrol vessel. In particular steady state magnification curves, Poincare maps are for harmonic forcing and project phase planes are for random forcing. It has been found that varying amounts of damping substantially affect the vessel’s critical behavior. This is important since most stability regulations ignore damping and solely concentrate on the vessel’s righting ram curve. Moreover roll damping is difficult to predict accurately and small changes in damping may have a significant effect.
Issue Section:
Technical Briefs
1.
Falzarano
, J.
, Esparza
, I.
, and Taz Ul Mulk
, M.
, 1995, “Combined Steady-State and Transient Approach to Study Large Amplitude Ship Rolling Motion Leading to Capsizing
,” J. Ship Res.
0022-4502, 39
(3
), pp. 213
–224
.2.
Thomson
, W. T.
, 1998, Theory of Vibrations With Applications
, Prentice-Hall
, Englewood Cliffs, NJ
.3.
Himeno
, Y.
, 1982, “Prediction of Ship Roll Damping. A State of the Art
,” University of Michigan Report No. 239.4.
Webster
, W.
, 1989, “The Transverse Motions. Seakeeping
,” Principles of Naval Architecture
, Vol. 3
, New York Society of Naval Architects and Marine Engineers
, Jersey, NJ
, pp. 73
–88
.5.
Falzarano
, J. M.
, Shaw
, S. W.
, and Troesch
, A. W.
, 1992, “Application of Global Methods for Analyzing Dynamical Systems to Ship Rolling Motion and Capsizing
,” Int. J. Bifurcation Chaos Appl. Sci. Eng.
0218-1274, 2
(1
), pp. 101
–115
.6.
Falzarano
, J.
, 1990, “Predicting Complicated Dynamics Leading to Vessel Capsizing
,” Ph.D. thesis, University of Michigan, Department of Naval Architecture, Ann Arbor, MI.7.
Falzarano
, J.
, and Troesch
, A.
, 1990, “Application of the Modern Geometric Methods for Dynamical Systems to the Problem of Vessel Capsizing With Water-on-Deck
,” International Conference on Stability of Ships and Ocean Vehicles
.8.
Vishnubhotla
, S.
, Falzarano
, J.
, and Vakakis
, A.
, 2000, “A New Method to Analyze Ship Capsizing in a Realistic Seaway
,” Philos. Trans. R. Soc. London
0962-8428, 358
(1771
), pp. 1967
–1981
.Copyright © 2010
by American Society of Mechanical Engineers
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