08 December 2008

STAB2005_Applications of Finite-Time Lyapunov Exponents to the Study of Capsize in Beam Seas

McCue, L.S., "Applications of finite-time Lyapunov exponents to the study of capsize in beam seas," 8th International Ship Stability Workshop, Istanbul, Turkey, October, 2005.


Applications of Finite-Time Lyapunov Exponents to the Study of Capsize in Beam Seas
Leigh McCue, Aerospace and Ocean Engineering, Virginia Tech,mccue@vt.edu

ABSTRACT
This paper demonstrates the use of ¯nite-time Lyapunov exponents (FTLE) for the detection of large amplitude roll motions and capsize. The study is conducted for a simple, single degree of freedom model of the Edith Terkol in regular and random beam seas. The effectiveness of the FTLE technique is qualitatively compared to a scalar ship motion metric based upon the `energy index (EI)' concept used for real-time identification of quiescence.

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