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Markov modelling and stochastic identification for nonlinear ship rolling in random waves. (English) Zbl 0980.70020
Summary: We apply a physically based averaging procedure to a stochastic nonlinear single-degree-of-freedom equation for ship rolling, leading to one-dimensional continuous Markov model for energy envelope of the roll motion. It is shown that this model enables to estimate various statistics of the roll response, 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 exitation and the nonlinear damping moment, from measurements of the roll response alone.
MSC:
70L05Random vibrations (general mechanics)
70E99Dynamics of a rigid body and of multibody systems
93E12System identification (stochastic systems)