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.
Issue Section:
Technical Papers
Keywords:
Lyapunov methods,
time series,
finite element analysis,
damping,
ships,
mechanical stability,
alarm systems,
capsize,
chaos,
Lyapunov exponents,
parametric roll
Topics:
Damping,
Seas,
Ships,
Time series,
Vessels,
Waves,
Modeling,
Resonance,
Excitation,
Stability,
Computer simulation
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