Simulation of stochastic ocean state by random function methods

LIU Zhang-jun;LIU Ling

Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (20) : 1-6.

PDF(1552 KB)
PDF(1552 KB)
Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (20) : 1-6.
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Simulation of stochastic ocean state by random function methods

  • LIU Zhang-jun,LIU Ling
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Abstract

Based on two classical simulation methods for stationary stochastic processes, including the spectral representation methodology and the orthogonal expansion method, through defining these standard orthogonal random variables in the two classical simulation methods as the orthogonal function form of a given basic random variable, so the original stochastic process can be represented by one basic random variable. In order to research a stochastic process from the set of its sample functions, discrete representative points of the basic random variable need be selected, and sample functions with assigned probability can be generated directly by the spectral representation methodology and the orthogonal expansion method, respectively. The two innovated methods are used to simulate random ocean state, and the simulated results are in excellent agreement with the prescribed probabilistic characteristics. Finally, some features of these two kinds of innovated simulation methods in applications are stated and compared.

Key words

random ocean state / simulation / spectral representation / orthogonal expansion / random function

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LIU Zhang-jun;LIU Ling. Simulation of stochastic ocean state by random function methods[J]. Journal of Vibration and Shock, 2014, 33(20): 1-6
PDF(1552 KB)

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