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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: | , , , , , |
| 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
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| Gesamtaufnahme: |
: Procedia engineering, 199(2017), Seite 1110-1121
, volume:199 |
| Schlagwörter: | |
| Quelle: | Verbunddaten SWB Lizenzfreie Online-Ressourcen |
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| 520 | |a 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). | ||
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| author | Chai, Wei, Dostal, Leo, Naess, Arvid, Leira, Bernt J. |
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| contents | 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). |
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| spelling | Chai, Wei VerfasserIn aut, 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, 2017, Diagramme, Text txt rdacontent, Computermedien c rdamedia, Online-Ressource cr rdacarrier, 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)., path integration method, stochastic averaging method, roll motion, stochastic response, Dostal, Leo VerfasserIn (DE-588)115363712X (DE-627)1015135757 (DE-576)500359679 aut, Naess, Arvid VerfasserIn aut, Leira, Bernt J. VerfasserIn aut, Technische Universität Hamburg Sonstige Körperschaft (DE-588)1112763473 (DE-627)866918418 (DE-576)476770564 oth, Technische Universität Hamburg Institut für Mechanik und Meerestechnik Sonstige Körperschaft (DE-588)1140852507 (DE-627)898727618 (DE-576)494089164 oth, Enthalten in Procedia engineering Amsterdam [u.a.] : Elsevier, 2009 199(2017), Seite 1110-1121 Online-Ressource (DE-627)607348992 (DE-600)2509658-8 (DE-576)310099773 1877-7058 nnns, volume:199 year:2017 pages:1110-1121, http://nbn-resolving.de/urn:nbn:de:gbv:830-882.025024 Resolving-System kostenfrei Volltext, https://doi.org/10.15480/882.1940 Resolving-System kostenfrei Volltext, http://hdl.handle.net/11420/1943 Resolving-System kostenfrei Volltext, https://doi.org/10.1016/j.proeng.2017.09.220 Verlag Volltext, http://nbn-resolving.de/urn:nbn:de:gbv:830-882.025024 LFER, LFER 2019-05-29T00:00:00Z |
| spellingShingle | Chai, Wei, Dostal, Leo, Naess, Arvid, Leira, Bernt J., Comparative study of the path integration method and the stochastic averaging method for nonlinear roll motion in random beam seas, 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)., path integration method, stochastic averaging method, roll motion, stochastic response |
| title | Comparative study of the path integration method and the stochastic averaging method for nonlinear roll motion in random beam seas |
| title_auth | Comparative study of the path integration method and the stochastic averaging method for nonlinear roll motion in random beam seas |
| title_full | 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 |
| title_fullStr | 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 |
| title_full_unstemmed | 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 |
| title_in_hierarchy | 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, |
| title_short | Comparative study of the path integration method and the stochastic averaging method for nonlinear roll motion in random beam seas |
| title_sort | comparative study of the path integration method and the stochastic averaging method for nonlinear roll motion in random beam seas |
| title_unstemmed | Comparative study of the path integration method and the stochastic averaging method for nonlinear roll motion in random beam seas |
| topic | path integration method, stochastic averaging method, roll motion, stochastic response |
| topic_facet | path integration method, stochastic averaging method, roll motion, stochastic response |
| url | http://nbn-resolving.de/urn:nbn:de:gbv:830-882.025024, https://doi.org/10.15480/882.1940, http://hdl.handle.net/11420/1943, https://doi.org/10.1016/j.proeng.2017.09.220 |
| urn | urn:nbn:de:gbv:830-882.025024 |