6533b870fe1ef96bd12cf18a
RESEARCH PRODUCT
Stochastic Response Of Fractionally Damped Beams
Antonina PirrottaMario Di PaolaFrancesco Paolo PinnolaSalvatore Lorenzosubject
PhysicsCantileverEuler-Bernoulli beam Fractional constitutive law Power spectral densityMechanical EngineeringMathematical analysisAerospace EngineeringSpectral densityOcean EngineeringStatistical and Nonlinear PhysicsCondensed Matter PhysicsEuler–Bernoulli beam fractional constitutive law power spectral densityFractional calculusSystem dynamicsTerm (time)AmplitudeNuclear Energy and EngineeringControl theoryFrequency domainSettore ICAR/08 - Scienza Delle CostruzioniExcitationCivil and Structural Engineeringdescription
Abstract This paper aims at introducing the governing equation of motion of a continuous fractionally damped system under generic input loads, no matter the order of the fractional derivative. Moreover, particularizing the excitation as a random noise, the evaluation of the power spectral density performed in frequency domain highlights relevant features of such a system. Numerical results have been carried out considering a cantilever beam under stochastic loads. The influence of the fractional derivative order on the power spectral density response has been investigated, underscoring the damping effect in reducing the power spectral density amplitude for higher values of the fractional derivative order. Finally, the fractional derivative term introduces in the system dynamics both effective damping and effective stiffness frequency dependent terms.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 |