On the calculation of maxima of non-linear waveforces and wave induced motions

Article type: Research Article

Authors: Vinje, T.

Affiliations: Division of Ship Hydrodynamics, The University of Trondheim, The Norwegian Institute of Technology, Trondheim, Norway

Abstract: The statistical distribution of the individual maxima of stationary, nonlinear second order stochastic processes with a Gaussion first order solution is given. The distribution is found in terms of an Edgworth-series expansion. This series expansion is in consistence with the perturbation method, which the calculation is based on. All the cumulants are given in form of integrals, which, as far as the author knows, has not been done before.

DOI: 10.3233/ISP-1976-2326801

Journal: International Shipbuilding Progress, vol. 23, no. 268, pp. 393-400, 1976