Gaussian and non-Gaussian cumulant neglect application to large amplitude rolling in random waves

Article type: Research Article

Authors: Su, Zhiyong | Falzarano, Jeffrey M.^;

Affiliations: Department of Civil Engineering, Texas A&M University, College Station, TX, USA

Note: [] Corresponding author: Jeffrey M. Falzarano, CE/TTI801-D, 3136 TAMU, College Station, TX 77843-3136, USA. Tel.: +1 979 862 7942; E-mail: [email protected].

Abstract: Large amplitude rolling in random beam seas is studied by moment equations and stochastic excitation is represented through a cascading filter driven by pure Gaussian white noise in order to apply Markov approximation. The moment equation is generated from a six state space rolling model using the Itô differential rule. The Gaussian and non-Gaussian cumulant neglect method is applied to close the infinite hierarchy of moment equations. In this paper, an automatic neglect tool is developed to handle the complex and untraceable higher-order cumulant neglect closure method to capture the non-Gaussian effect of nonlinear rolling phenomena. Both transient and stationary responses of statistical moments are obtained through the solution of the closed moment equations.

Keywords: Nonlinear rolling, random waves, filtered white noise, non-Gaussian cumulant neglect method

DOI: 10.3233/ISP-2011-0071

Journal: International Shipbuilding Progress, vol. 58, no. 2-3, pp. 97-113, 2011