doi:10.3850/978-981-08-7619-7_P043

ABSTRACT

This paper deals with random wave forces acting on a rigid thick finite fixed plate. The incident stochastic wave field has a specified spectrum and a related diffraction problem is posed. For the analysis of the diffracted wave field a matching technique involving eigenfunctions of a related boundary value problem is used. The technique renders an estimate of the velocity potential of the diffracted random wave field and, thus, of the random pressure and forces processes. Further, it is shown that the technique can be applied to estimate both the horizontal and the vertical component of the wave force acting on the plate. Next an application of the technique is pursued considering the plate to be moored by means of tension legs, and the forces induced by the structure on the mooring lines are determined. A related stability condition is derived based on the equilibrium of the forces acting on the body. The theoretical developments are supplemented by a pertinent Monte Carlo simulation involving a Gaussian random process model.

Keywords: Diffraction, Thick finite plate, Random wave forces, Simulation.

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