Abstract
A procedure is presented for nonlinear random vibration analysis of deepwater guyed tower platforms subject to wave loading. The nonlinear stiffness provided by the guylines is approximated by an analytical function and wave load is expressed as an output of white noise passing through a linear filter. The differential equation of motion is expressed in terms of a set of first order stochastic equations. Using Ito’s rule of stochastic differentials and averaging operations, a system of ordinary differential equations involving moments of the load and the response are obtained. The equations are solved in the time domain by a numerical method and hierarchy closure is obtained by Gaussian and non-Gaussian closure techniques. The response is modeled as a mixture distribution. It is shown that the response is non-Gaussian at higher sea states.
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