Reconciling experimental and numerical data: techniques of nonlinear seakeeping code validation

McCue, Leigh; Belknap, William F.; Campbell, Bradley

doi:10.1007/bf03449184

Cited by 1 publication

(1 citation statement)

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“…The use of Lyapunov exponents to study capsize has been touched upon in the literature for both naval architecture and nonlinear dynamics. In recent years the asymptotic Lyapunov exponent has been calculated from equations of motion for the mooring problem [12], single degree of freedom capsize models [13,14], single degree of freedom flooded ship models [15][16][17], works studying the effects of rudder angle while surf-riding as it leads to capsize [18], and investigation into the use of the tool for validating numerical simulation to experimental data [19,20]. In order to anticipate chaotic vessel motions in real time, one can instead use the incremental variant, i.e.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Feasibility Study of a Parametric Roll Advance Warning System

McCue

Bulian

2006

Volume 2: Ocean Engineering and Polar and Arctic Sciences and Technology

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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 modelled 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, on-board aid to warn of impending danger allowing for avoidance of severe, even catastrophic, vessel instabilities.

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