This work studies the practicality of using finite-time Lyapunov exponents (FTLEs) to detect the inception of parametric resonance for vessels operating in irregular longitudinal seas. Parametrically excited roll motion is modeled as a single-degree-of-freedom system, with nonlinear damping and restoring terms. FTLEs are numerically calculated at every integration time step. Using this numerical model of parametric roll and through tracking trends in the FTLE time series behavior, warnings of parametric roll are identified. This work serves as a proof of concept of the FTLE technique’s viability in detecting parametric resonance. The ultimate aim of the research contained in this paper, along with future work, is the development of a real-time, onboard aid to warn of impending danger allowing for avoidance of severe, even catastrophic, vessel instabilities.
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mccue@vt.edu
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August 2007
Technical Papers
A Numerical Feasibility Study of a Parametric Roll Advance Warning System
Leigh Shaw McCue,
Leigh Shaw McCue
Aerospace and Ocean Engineering,
mccue@vt.edu
Virginia Polytechnic Institute and State University
, Blacksburg, VA 24061
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Gabriele Bulian
Gabriele Bulian
Department of Naval Architecture, Ocean and Environmental Engineering (DINMA),
gbulian@units.it
University of Trieste
, Trieste, Italy
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Leigh Shaw McCue
Aerospace and Ocean Engineering,
Virginia Polytechnic Institute and State University
, Blacksburg, VA 24061mccue@vt.edu
Gabriele Bulian
Department of Naval Architecture, Ocean and Environmental Engineering (DINMA),
University of Trieste
, Trieste, Italygbulian@units.it
J. Offshore Mech. Arct. Eng. Aug 2007, 129(3): 165-175 (11 pages)
Published Online: January 23, 2007
Article history
Received:
July 2, 2006
Revised:
January 23, 2007
Citation
Shaw McCue, L., and Bulian, G. (January 23, 2007). "A Numerical Feasibility Study of a Parametric Roll Advance Warning System." ASME. J. Offshore Mech. Arct. Eng. August 2007; 129(3): 165–175. https://doi.org/10.1115/1.2746399
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