Abstract
This is the first of two companion papers concerned with an assessment of the non-linear effects implied by the modified Morison equation. In this paper a spectral approach is adopted. The wave excitation is taken as a non-linear function of the Gaussian wave kinematics, while the implied hydrodynamic damping is taken to be linear but time varying. The solution is obtained by a perturbation technique. Results are compared with those of linearization and time domain simulation. The appearance of higher order convolutions of the wave spectra in the present approach leads to increased excitation near the fundamental natural frequency of typical space frame structures, in comparison with linear solutions. The implied hydrodynamic damping, however, plays a major part in limiting resonant responses.
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