0000000000765882

AUTHOR

Raouf A. Ibrahim

showing 2 related works from this author

Stochastic ship roll motion via path integral method

2010

ABSTRACTThe 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 …

Path integrallcsh:Ocean engineeringRandom impulsive ice loadingOcean EngineeringProbability density functionResponse amplitude operatorPoisson distributionShip roll Random impulsive ice loading Poisson distributionsymbols.namesakelcsh:VM1-989Control theorylcsh:TC1501-1800Parametric random excitationChapman-Kolmogorov equationMathematicsParametric statisticsOscillationMathematical analysisDynamics (mechanics)lcsh:Naval architecture. Shipbuilding. Marine engineeringControl and Systems EngineeringPath integral formulationPoisson distributionsymbolsShip rollSettore ICAR/08 - Scienza Delle CostruzioniChapman–Kolmogorov equationInternational Journal of Naval Architecture and Ocean Engineering
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Ship Roll Motion under Stochastic Agencies Using Path Integral Method

2009

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 dynamica…

Poisson arrival proceRoll oscillationOscillationDynamics (mechanics)Motion (geometry)Probability density functionPath integral methodWhite noiseWhite noise excitationResponse amplitude operatorRandom excitationControl theoryShip roll motionTransition probabilitiePath integral formulationChapman-Kolmogorov equationMathematicsParametric statistics
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