Search results for "Response Amplitude"

showing 4 items of 4 documents

Methodological Aspects of the Application of the Naka-Rushton Equation to Clinical Electroretinogram

1993

The nonlinear relation between stimulus intensity and response amplitude of the electroretinogram (ERG) scotopic b wave can be described by a curve based on the Naka-Rushton (NR) equation. Up to now, the NR equation has been used to assess the features of the normal and pathological ERG, but the best approach for a correct evaluation of the parameters is still debatable. The parameters are thought to be related to the different conditions of retinal activities. The method is well known in experimental laboratories but is quite unusual at the clinical level. In the present paper the derivative analysis of the NR function is proposed as an easier approach to understand the variations of the N…

AdultMaleX ChromosomeAdolescentLightElectrodiagnosisGenetic LinkageVisual AcuityDark AdaptationCataractRetinaCellular and Molecular NeuroscienceExperimental LaboratoriesOpticsRetinal DiseasesElectroretinographymedicineHumansResponse AmplitudeApplied mathematicsScotopic visionChildAgedMathematicsmedicine.diagnostic_testbusiness.industryDerivative analysisGeneral MedicineMiddle AgedSensory SystemsOphthalmologyFemalebusinessRetinitis PigmentosaElectroretinographyOphthalmic Research
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Stochastic response of a fractional vibroimpact system

2017

Abstract The paper proposes a method to investigate the stochastic dynamics of a vibroimpact single-degree-of-freedom fractional system under a Gaussian white noise input. It is assumed that the system has a hard type impact against a one-sided motionless barrier, which is located at the system’s equilibrium position; furthermore, the system under study is endowed with an element modeled with fractional derivative. The proposed method is based on stochastic averaging technique and overcome the particular difficulty due to the presence of fractional derivative of an absolute value function; particularly an analytical expression for the system’s mean squared response amplitude is presented an…

Mechanical equilibriumvibroimpact systemfractional derivative02 engineering and technologyGeneral MedicineWhite noiseType (model theory)021001 nanoscience & nanotechnologystochastic averaging methodExpression (mathematics)law.inventionFractional calculus020303 mechanical engineering & transportsStochastic dynamicsEngineering (all)0203 mechanical engineeringControl theorylawResponse AmplitudeApplied mathematics0210 nano-technologySettore ICAR/08 - Scienza Delle CostruzioniMathematics
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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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