A method of determining hydrodynamic responses of a non-linearly moored floating vessel in random waves is presented based on potential flow theory. The moored vessel is modelled as a weakly non-linear Duffing's oscillator. A two-scale perturbation method is utilised to solve the water wave boundary value problem characterising small wave-slope and non-linear mooring stiffness parameters. As an example of the approach, a semi-analytical solution is obtained for a truncated cylinder in finite water depth. It is shown that the non-linearity in the mooring stiffness can contribute significantly to a non-linear hydrodynamic term in the perturbation expansion, and hence to the wave drift response of the floating vessel, depending on the parameters of the vessel and the characteristics of the wave spectrum.A method of determining hydrodynamic responses of a non-linearly moored floating vessel in random waves is presented based on potential flow theory. The moored vessel is modelled as a weakly non-linear Duffing's oscillator. A two-scale perturbation method is utilized to solve the water wave boundary value problem characterizing small wave-slope and non-linear mooring stiffness parameters. As an example of the approach, a semi-analytical solution is obtained for a truncated cylinder in finite water depth. It is shown that the non-linearity in the mooring stiffness can contribute significantly to a non-linear hydrodynamic term in the perturbation expansion, and hence to the wave drift response of the floating vessel, depending on the parameters of the vessel and the characteristics of the wave spectrum.

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Persistent URL dx.doi.org/10.1016/S0141-1187(98)00019-4
Journal Applied Ocean Research
Citation
Sarkar, A, & Eatock Taylor, R. (R.). (1998). Low-frequency responses of non-linearly moored vessels in random waves: development of a two-scale perturbation method. Applied Ocean Research, 20(4), 225–236. doi:10.1016/S0141-1187(98)00019-4