Stochastic nonlinear rolling of ship in beam wave

Article type: Research Article

Authors: Liqin, Liu | Yougang, Tang

Affiliations: Key Laboratory of Harbor and Ocean Engineering of Ministry of Education, School of Civil Engineering, Tianjin University, Tianjin, P. R. China

Note: [] Corresponding author: Liu Liqin, Key Laboratory of Harbor and Ocean Engineering of Ministry of Education, School of Civil Engineering, Tianjin University, Tianjin, P. R. China. E-mail: liuliqintj@ yahoo.com.cn.

Abstract: The problem of ship rolling in the stochastic wave has been studied in the past. In this paper the stochastic nonlinear dynamic behaviors including stochastic chaotic motion and probability density function of ship rolling are studied by nonlinear dynamic method and probability theory. The random Melnikov mean-square criterion is used to determine the parameter domain for ship's random chaotic motion. The probability density function of rolling response is evaluated in the chaotic parameter domain using path integral method. The time-dependent probability of ship rolling restricted within the safe domain is provided and capsizing is investigated in the probability's view.

Keywords: Stochastic nonlinear rolling, chaotic motion, random Melnikov mean-square criterion, probability density function

DOI: 10.3233/ISP-2009-0053

Journal: International Shipbuilding Progress, vol. 56, no. 1-2, pp. 15-27, 2009