This work presents a formulation review of a hybrid time-frequency domain Green approach method (HTF-GA) for the solution of offshore systems. A step-by-step time domain solution procedure is established, based on the convolution between the Green functions of the problem and the vector of external loads. The Green functions are implicitly calculated in the frequency-domain. The accuracy is significantly improved when compared with traditional direct integration methods, or with other methods based on the Green approach. This method is able to deal with non-linear behaviour and implicity consider the frequency dependence of added mass and potential damping, encountered in offshore systems problems.

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