Search results for "Hysteretic system"

showing 3 items of 3 documents

Steady-state dynamic response of various hysteretic systems endowed with fractional derivative elements

2019

In this paper, the steady-state dynamic response of hysteretic oscillators comprising fractional derivative elements and subjected to harmonic excitation is examined. Notably, this problem may arise in several circumstances, as for instance, when structures which inherently exhibit hysteretic behavior are supplemented with dampers or isolators often modeled by employing fractional terms. The amplitude of the steady-state response is determined analytically by using an equivalent linearization approach. The procedure yields an equivalent linear system with stiffness and damping coefficients which are related to the amplitude of the response, but also, to the order of the fractional derivativ…

Steady state (electronics)Applied MathematicsMechanical EngineeringMathematical analysisLinear systemAerospace EngineeringBilinear interpolationEquations of motionEquivalent linearizationOcean EngineeringFractional derivative01 natural sciencesHysteretic systemDamperFractional calculusNonlinear systemHysteresisControl and Systems Engineering0103 physical sciencesElectrical and Electronic Engineering010301 acousticsSteady-state responseMathematics
researchProduct

Equivalent Non-Linearization of Hysteretic Systems by Means of RPS

2018

BackgroundThe analysis of elastoplastic systems with hardening (Bouc-Wen systems) under stochastic (seismic) loads needs the evaluation of higher order statistics even in the simplest case of normal distributed input. ObjectiveIn this paper, a non-linearization technique is proposed in order to evaluate the moments of any order of the response. MethodThis technique is developed by means of a nonlinear class of systems whose statistics are a priori known. The parameters of such systems can be chosen in such a way that the two systems are equivalent in a wide sense. Result & ConclusionIn the paper, the strategy to obtain the equivalence and the reliability of the results are discussed.

Thesaurus (information retrieval)Computer scienceSeismic assessment Hysteretic systems Potential systems Moment equations Equivalent non-linearization Stochastic calculus0211 other engineering and technologiesStochastic calculus020101 civil engineering02 engineering and technologyBuilding and Constructionlcsh:TH1-97450201 civil engineeringAlgebraSearch engineSeismic assessmentLinearization021105 building & constructionMoment equationslcsh:Building construction
researchProduct

Approximate survival probability determination of hysteretic systems with fractional derivative elements

2018

Abstract A Galerkin scheme-based approach is developed for determining the survival probability and first-passage probability of a randomly excited hysteretic systems endowed with fractional derivative elements. Specifically, by employing a combination of statistical linearization and of stochastic averaging, the amplitude of the system response is modeled as one-dimensional Markovian Process. In this manner the corresponding backward Kolmogorov equation which governs the evolution of the survival probability of the system is determined. An approximate solution of this equation is sought by employing a Galerkin scheme in which a convenient set of confluent hypergeometric functions is used a…

Mathematical optimizationMonte Carlo methodAerospace EngineeringBilinear interpolationMarkov processOcean Engineering02 engineering and technology01 natural sciencesHysteretic systemsymbols.namesake0203 mechanical engineering0103 physical sciencesApplied mathematicsHypergeometric functionGalerkin method010301 acousticsCivil and Structural EngineeringMathematicsGalerkin approachMechanical EngineeringStatistical and Nonlinear PhysicsFractional derivativeCondensed Matter PhysicsOrthogonal basisFractional calculus020303 mechanical engineering & transportsAmplitudeNuclear Energy and EngineeringsymbolsSurvival probabilitySettore ICAR/08 - Scienza Delle Costruzioni
researchProduct