A comparison of methods for the statistics of slow-drift oscillations

A probabilistic model for the slowly varying horizontal motion of a moored floating structure, excited by nonlinear, second order wave forces is derived. The model consists of a coupled system of three white-noise excited stochastic differential equations that govern a continuous vector Markov proce...

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Bibliographic Details
Published in:Probabilistic engineering mechanics 1998-04, Vol.13 (2), p.97-106
Main Authors: Langtangen, H.P., Marthinsen, T., Mathiesen, J.
Format: Article
Language:English
Subjects:
Applied sciences
Buildings. Public works
Exact sciences and technology
Hydraulic constructions
Marine
Offshore structure (platforms, tanks, etc.)
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Summary:A probabilistic model for the slowly varying horizontal motion of a moored floating structure, excited by nonlinear, second order wave forces is derived. The model consists of a coupled system of three white-noise excited stochastic differential equations that govern a continuous vector Markov process. Different methods are applied for the investigation of the first passage time probabilities of the displacement of the marine structure. The methods include time history simulation estimation of the first four moments, time history simulation of the first passage problem, and finite element solution of the backward Kolmogorov equation governing the first passage time distribution. The impact of non-Gaussian aspects of the response on extreme value statistics is demonstrated.
ISSN:0266-8920
1878-4275
DOI:10.1016/S0266-8920(97)00014-3