zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
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.

70L05Random vibrations (general mechanics)
70E99Dynamics of a rigid body and of multibody systems
93E12System identification (stochastic systems)
Full Text: DOI