Random simulations are often used to simulate the statistics of storm-driven waves. Work on Gaussian linear random signals has lead to a method for embedding a large wave into a random sequence in such a way that the composite signal is virtually indistinguishable (in a rigorous statistical limit) from a purely random occurrence of a large wave. We demonstrate that this idea can be used to estimate the extreme response of a jack-up in a severe sea-state in a robust and efficient manner. Results are in good agreement with those obtained from a full random time-domain simulation.
Time Domain Simulation of Jack-up Dynamics With the Extremes of a Gaussian Process
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Taylor, P. H., Jonathan, P., and Harland, L. A. (October 1, 1997). "Time Domain Simulation of Jack-up Dynamics With the Extremes of a Gaussian Process." ASME. J. Vib. Acoust. October 1997; 119(4): 624–628. https://doi.org/10.1115/1.2889772
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