Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0980.70020
Roberts, J.B.; Vasta, M.
Markov modelling and stochastic identification for nonlinear ship rolling in random waves. (English)
[J] Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 358, No.1771, 1917-1941 (2000). ISSN 1364-503X; ISSN 1471-2962/e

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 2000:: *70L05 Random vibrations (general mechanics)
70E99 Dynamics of a rigid body
93E12 System identification (stochastic systems)

Keywords: random waves; averaging procedure; stochastic nonlinear single-degree-of-freedom equation; ship rolling; one-dimensional continuous Markov model; energy envelope; stochastic identification technique; spectrum of exitation; nonlinear damping moment

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]