RESEARCH PAPERS: Offshore Mechanics

The Dynamics of Marine Vehicles With Inflectional Righting Moment Curves

[+] Author and Article Information
M. H. Patel, J. A. Witz

Department of Mechanical Engineering, University College London, London, U.K.

J. Offshore Mech. Arct. Eng 109(4), 335-344 (Nov 01, 1987) (10 pages) doi:10.1115/1.3257029 History: Received April 30, 1986; Revised November 02, 1986; Online October 30, 2009


This paper investigates modifications to the dynamics of a marine vehicle caused by a point of inflection in its hydrostatic righting moment curve. Such inflections are shown to yield multiple equilibrium angles due to static over turning moments and to the occurrence of a classical fold catastrophe. Both frequency domain analyses and numerical solutions of the equation of roll motion are used to evaluate the influence of such inflections on the vessel’s dynamics. The analyses demonstrate that inflectional righting moment curves can yield unexpected roll amplitude jump phenomena close to resonance. The paper concludes with a discussion of the effects of such behavior on vessel hull designs.

Copyright © 1987 by ASME
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