Markov modelling and stochastic identification for nonlinear ship rolling in random waves

Roberts, J B and Vasta, M (2000) Markov modelling and stochastic identification for nonlinear ship rolling in random waves. Philosophical Transactions of the Royal Society of London A, 358 (1771). pp. 1917-1941. ISSN 1471-2962

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Abstract

A physically based averaging procedure is applied to a stochastic nonlinear single-degree-of-freedom equation for ship rolling, leading to a one-dimensional continuous Markov model for the energy envelope of the roll motion. It is shown that this model enables various statistics of the roll response to be estimated, including its stationary distribution and the mean time for the energy to reach a critical level. Moreover, it is demonstrated that the Markov model can be used as the basis of a new stochastic identification technique for estimating the spectrum of the excitation, and the nonlinear damping moment, from measurements of the roll response alone.

Item Type: Article
Schools and Departments: School of Engineering and Informatics > Engineering and Design
Depositing User: EPrints Services
Date Deposited: 06 Feb 2012 18:45
Last Modified: 17 Sep 2012 11:13
URI: http://sro.sussex.ac.uk/id/eprint/18166
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