Estimation of the Extreme Response Probability Distribution of Offshore Structures Due to Current and Turbulence

For a model of offshore structure standing in a fluid, we derived the cumulative distribution function of the extreme base shear and the extreme bending moment, that is, the extreme value produced by the weighted sum of a spatially continuous non-Gaussian stochastic horizontal force field produced by current and turbulence, in a given time interval it is assumed to be stationary. In the proposed methodology, the theory of translated processes is used to solve the problem of finding the extreme of non-Gaussian stochastic processes. The application is carried out on a thick column whereas the stochastic field of turbulence is supposed to be Gaussian but not necessarily narrow-band. The cumulative distribution functions obtained are in good agreement with statistical results derived from simulations in the time domain.