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An approach that is able to obtain the stochastic characteristics in terms of stochastic moments of a SDOF system excited by loads due to a fluid-structure interaction is presented. In this approach the fluid horizontal velocity is considered as a filtered white noise, and the actual load expression is replaced by a third-degree polynomial of this velocity. The tools needed to promptly obtain the filters parameters and the equations governing the response moments are also presented; in particular, if the structure is sufficiently stiff, it is shown that these equations do not need any closure scheme in order to be solved.
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