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Markov modelling and stochastic identification for nonlinear ship rolling in random waves
journal contribution
posted on 2023-06-07, 21:15 authored by J B Roberts, M VastaA 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.
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Publication status
- Published
Journal
Philosophical Transactions of the Royal Society of London AISSN
1471-2962Publisher
Royal Society PublishingExternal DOI
Issue
1771Volume
358Page range
1917-1941ISBN
1364-503XDepartment affiliated with
- Engineering and Design Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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