Stochastic ship roll motion via path integral method
The response of ship roll oscillation under random ice impulsive loads modeled by Poisson arrival process is very important in studying the safety of ships navigation in cold regions. Under both external and parametric random excitations the evolution of the probability density function of roll moti...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2010-09-01
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| Series: | International Journal of Naval Architecture and Ocean Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2092678216302394 |
| _version_ | 1811312314491600896 |
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| author | G. Cottone M. Di Paola R. Ibrahim A. Pirrotta R. Santoro |
| author_facet | G. Cottone M. Di Paola R. Ibrahim A. Pirrotta R. Santoro |
| author_sort | G. Cottone |
| collection | DOAJ |
| description | The response of ship roll oscillation under random ice impulsive loads modeled by Poisson arrival process is very important in studying the safety of ships navigation in cold regions. Under both external and parametric random excitations the evolution of the probability density function of roll motion is evaluated using the path integral (PI) approach. The PI method relies on the Chapman-Kolmogorov equation, which governs the response transition probability density functions at two close intervals of time. Once the response probability density function at an early close time is specified, its value at later close time can be evaluated. The PI method is first demonstrated via simple dynamical models and then applied for ship roll dynamics under random impulsive white noise excitation. |
| first_indexed | 2024-04-13T10:35:06Z |
| format | Article |
| id | doaj.art-b140d8cbe9184544ba3f02e86aae7ec6 |
| institution | Directory Open Access Journal |
| issn | 2092-6782 |
| language | English |
| last_indexed | 2024-04-13T10:35:06Z |
| publishDate | 2010-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Naval Architecture and Ocean Engineering |
| spelling | doaj.art-b140d8cbe9184544ba3f02e86aae7ec62022-12-22T02:50:05ZengElsevierInternational Journal of Naval Architecture and Ocean Engineering2092-67822010-09-012311912610.2478/IJNAOE-2013-0027Stochastic ship roll motion via path integral methodG. Cottone0M. Di Paola1R. Ibrahim2A. Pirrotta3R. Santoro4Dipartimento di Ingegneria Strutturale Aerospazialee Geotecnica, Viale delle Scienze, Palermo, ItalyDipartimento di Ingegneria Strutturale Aerospazialee Geotecnica, Viale delle Scienze, Palermo, ItalyWayne State University, Department of Mechanical Engineering, Detroit, USADipartimento di Ingegneria Strutturale Aerospazialee Geotecnica, Viale delle Scienze, Palermo, ItalyDipartimento di Ingegneria Strutturale Aerospazialee Geotecnica, Viale delle Scienze, Palermo, ItalyThe response of ship roll oscillation under random ice impulsive loads modeled by Poisson arrival process is very important in studying the safety of ships navigation in cold regions. Under both external and parametric random excitations the evolution of the probability density function of roll motion is evaluated using the path integral (PI) approach. The PI method relies on the Chapman-Kolmogorov equation, which governs the response transition probability density functions at two close intervals of time. Once the response probability density function at an early close time is specified, its value at later close time can be evaluated. The PI method is first demonstrated via simple dynamical models and then applied for ship roll dynamics under random impulsive white noise excitation.http://www.sciencedirect.com/science/article/pii/S2092678216302394Ship rollRandom impulsive ice loadingPoisson distributionPath integralParametric random excitationChapman-Kolmogorov equation |
| spellingShingle | G. Cottone M. Di Paola R. Ibrahim A. Pirrotta R. Santoro Stochastic ship roll motion via path integral method International Journal of Naval Architecture and Ocean Engineering Ship roll Random impulsive ice loading Poisson distribution Path integral Parametric random excitation Chapman-Kolmogorov equation |
| title | Stochastic ship roll motion via path integral method |
| title_full | Stochastic ship roll motion via path integral method |
| title_fullStr | Stochastic ship roll motion via path integral method |
| title_full_unstemmed | Stochastic ship roll motion via path integral method |
| title_short | Stochastic ship roll motion via path integral method |
| title_sort | stochastic ship roll motion via path integral method |
| topic | Ship roll Random impulsive ice loading Poisson distribution Path integral Parametric random excitation Chapman-Kolmogorov equation |
| url | http://www.sciencedirect.com/science/article/pii/S2092678216302394 |
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