Search results for "Random excitation"

showing 3 items of 3 documents

Random analysis of geometrically non-linear FE modelled structures under seismic actions

1990

Abstract In the framework of the finite element (FE) method, by using the “total Lagrangian approach”, the stochastic analysis of geometrically non-linear structures subjected to seismic inputs is performed. For this purpose the equations of motion are written with the non-linear contribution in an explicit representation, as pseudo-forces, and with the ground motion modelled as a filtered non-stationary white noise Gaussian process, using a Tajimi-Kanai-like filter. Then equations for the moments of the response are obtained by extending the classical Ito's rule to vectors of random processes. The equations of motion, and the equations for moments, obtained here, show a perfect formal simi…

Discrete mathematicsHermite polynomialsSimilarity (geometry)Random excitation; non-linear structuresStochastic processMathematical analysisEquations of motionBuilding and ConstructionWhite noiseFinite element methodRandom excitationNonlinear systemsymbols.namesakesymbolsnon-linear structuresSafety Risk Reliability and QualityGaussian processCivil and Structural EngineeringMathematics
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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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