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Untersuchung nichtlinearer Schiffsdynamik mit Auftreten von Instabilität und Chaos an Beispielen aus der Offshoretechnik
Citation Link: https://doi.org/10.15480/882.944
Publikationstyp
Technical Report
Publikationsdatum
1990
Sprache
German
Author
Dynamic behavior of an SPM-tanker, a moored shear-leg crane ship, and a moored barge was numerically investigated using mathematical models that include significant nonlinearities. Static and dynamic bifurcations of the equilibrium of the tanker moored in a constant current were identified by locallinear stability analysis in parameter space.
Global nonlinear simulations showed that tanker motions in the autonomous mode were characterized by large-amplitude, long-period self-sustained oscillations for the unstable cases. When additionally subjected to a steady wind or periodic waves, tanker motion response became chaotic. In these cases, extreme sensitivity to initial conditions was verified.
Suitable measures were found to stabilize the tanker equilibrium and its motion.
For the crane ship in regular waves period multiplication and chaotic behavior were determined using Fourier analysis. For the moored barge in regular waves coexistence of two different attractors was demonstrated with Poincare maps. Chaotic behavior of the moored barge in periodic wave groups was verified by a positive Lyapunov exponent and a fractal Lyapunov dimension.
Global nonlinear simulations showed that tanker motions in the autonomous mode were characterized by large-amplitude, long-period self-sustained oscillations for the unstable cases. When additionally subjected to a steady wind or periodic waves, tanker motion response became chaotic. In these cases, extreme sensitivity to initial conditions was verified.
Suitable measures were found to stabilize the tanker equilibrium and its motion.
For the crane ship in regular waves period multiplication and chaotic behavior were determined using Fourier analysis. For the moored barge in regular waves coexistence of two different attractors was demonstrated with Poincare maps. Chaotic behavior of the moored barge in periodic wave groups was verified by a positive Lyapunov exponent and a fractal Lyapunov dimension.
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Bericht_Nr.512_Ji.Tao_Untersuchung_nichtlinearer_Schiffsdynamik_mit_Auftreten_von_Instabilitt_und_Chaos_an_Beispielen_aus_der_Offshoretechnik.pdf
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