Comparative study of the path integration method and the stochastic averaging method for nonlinear roll motion in random beam seas

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Veröffentlicht in:	Procedia engineering 199(2017), Seite 1110-1121
Personen und Körperschaften:	Chai, Wei (VerfasserIn), Dostal, Leo (VerfasserIn), Naess, Arvid (VerfasserIn), Leira, Bernt J. (VerfasserIn), Technische Universität Hamburg (Sonstige, Sonstige Körperschaft), Technische Universität Hamburg Institut für Mechanik und Meerestechnik (Sonstige, Sonstige Körperschaft)
Titel:	Comparative study of the path integration method and the stochastic averaging method for nonlinear roll motion in random beam seas/ Wei Chai, Leo Dostal, Arvid Naess, Bernt J. Leira
Format:	E-Book-Kapitel
Sprache:	Englisch
veröffentlicht:	2017
Gesamtaufnahme:	: Procedia engineering, 199(2017), Seite 1110-1121 , volume:199
Schlagwörter:	path integration method stochastic averaging method roll motion stochastic response
Quelle:	Verbunddaten SWB Lizenzfreie Online-Ressourcen

Details
Zusammenfassung:	In this work, the path integration method and the energy-based stochastic averaging method are introduced in order to study the stochastic responses of ship roll motion in random beam seas. Based on the Markov property of the dynamical system, the path integration (PI) method provides approximate solution to the governing Fokker-Planck (FP) equation. On the other hand, the stochastic averaging method leads to a dimension reduction of the original system, but the essential behavior is retained. Then numerical solution or even analytical solution of the low-dimensional FP equation can be obtained. Since the principles of the above two stochastic methods are different, a comparative study is valuable and noticeable. The accuracy and performance of each method are evaluated with the assistance of Monte Carlo simulation (MCS).
Umfang:	Diagramme
ISSN:	1877-7058
DOI:	10.15480/882.1940