Abstract
Considering the static stability and the change of the displacement volume, including the influences of higher order nonlinear terms and the instantaneous wave surface, the nonlinear coupled heave-pitch motion was established in stochastic waves. The responses of heave-pitch coupling motion for the Truss Spar platform were investigated. It was found that, when the characteristic frequency of a stochastic wave is close to the natural heave frequency, the large amplitude pitch motion is induced under the parametric-forced excitation, which is called the Mathieu instability. It was observed that the heave mode energy is transferred to pitch mode when the heave motion amplitude exceeds a certain extent. In addition, the probability of internal resonant heave-pitch motion is greatly reduced while the characteristic wave frequency is away from the natural heave frequency.
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Foundation item: Supported by the National Natural Science Foundation of China (No. 51079097, 50879057).
Wenjun Shen, a PhD candidate, was born in 1984. Her study is focused on the structure dynamics of ships and ocean engineering as well as engineering technology of the deep seas).
Yougang Tang, a professor, was born in 1952. His study is focused on the structure dynamics of ships and ocean engineering as well as engineering technology of the deep seas.
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Shen, W., Tang, Y. Stochastic analysis of nonlinear coupled heave-pitch motion for the Truss Spar platform. J. Marine. Sci. Appl. 10, 471–477 (2011). https://doi.org/10.1007/s11804-011-1093-y
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DOI: https://doi.org/10.1007/s11804-011-1093-y