Search results for " Fractional capacitor"

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Electrical analogous in viscoelasticity

2014

In this paper, electrical analogous models of fractional hereditary materials are introduced. Based on recent works by the authors, mechanical models of materials viscoelasticity behavior are firstly approached by using fractional mathematical operators. Viscoelastic models have elastic and viscous components which are obtained by combining springs and dashpots. Various arrangements of these elements can be used, and all of these viscoelastic models can be equivalently modeled as electrical circuits, where the spring and dashpot are analogous to the capacitance and resistance, respectively. The proposed models are validated by using modal analysis. Moreover, a comparison with numerical expe…

PhysicsNumerical AnalysisEigenvalues analysiEigenvalues analysis Fractional calculus Fractional capacitor Viscoelastic modelsApplied MathematicsModal analysisMathematical analysisFinite-difference time-domain methodViscoelastic modelFractional calculuDashpotViscoelasticityFractional calculuslaw.inventionMathematical OperatorsFractional capacitorSettore ING-IND/31 - ElettrotecnicaSettore MAT/08 - Analisi NumericaSpring (device)lawModeling and SimulationElectrical networkCalculusSettore ICAR/08 - Scienza Delle Costruzioni
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