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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 Vasta
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.

History

Publication status

  • Published

Journal

Philosophical Transactions of the Royal Society of London A

ISSN

1471-2962

Publisher

Royal Society Publishing

Issue

1771

Volume

358

Page range

1917-1941

ISBN

1364-503X

Department affiliated with

  • Engineering and Design Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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