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Description of the Impulse Response in Rods by Fractional Derivatives
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2002
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EngineeringImpulse ResponseMechanical EngineeringComputational MechanicsMechanicsFractional DerivativesRheologyStructural DynamicFractional StochasticsResidue CalculusFractional DynamicStructural VibrationMechanical ModelingRheological Constitutive EquationFractional-order SystemCivil EngineeringMechanical SystemsStructural MechanicsVibration Control
For an impulse response in a viscoelastic rod experimental data are compared with a calculation using fractional derivatives for modelling viscoelastic damping. For the material under consideration (teflon) the coincidence is excellent. The calculation is done for an ideal impulse as well as for a realistic exciting force; it displays also the numerical and theoretical advantages of the residue calculus.