0000000000276781

AUTHOR

Stefano Cutrona

showing 3 related works from this author

Fractional viscoelastic beam under torsion

2017

Abstract This paper introduces a study on twisted viscoelastic beams, having considered fractional calculus to capture the viscoelastic behaviour. Further another novelty of this paper is extending a recent numerical approach, labelled line elementless method (LEM), to viscoelastic beams. The latter does not require any discretization neither in the domain nor in the boundary. Some numerical applications have been reported to demonstrate the efficiency and accuracy of the method.

TorsionNumerical AnalysisDiscretizationApplied MathematicsNumerical analysisMathematical analysisTorsion (mechanics)Viscoelasticity02 engineering and technologyFractional calculu01 natural sciencesViscoelasticityFractional calculus010101 applied mathematicsModeling and simulationAnalytic functionHarmonic polynomial020303 mechanical engineering & transports0203 mechanical engineeringModeling and SimulationViscoelastic beam0101 mathematicsNumerical AnalysiMathematicsAnalytic functionCommunications in Nonlinear Science and Numerical Simulation
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Fractional visco-elastic Timoshenko beam from elastic Euler-Bernoulli beam

2014

The Euler–Bernoulli beam theory is well established in such a way that engineers are very confident with the determination of the stress field or deflections of the elastic beam based on this theory. In contrast, Timoshenko theory is not so much used by engineers. However, in some cases, Euler–Bernoulli theory, which neglects the effect of transversal shear deformation, yields unacceptable results. For instance, when dealing with visco-elastic behavior, shear deformations play a fundamental role. Recent studies on the response evaluation of a visco-elastic Euler–Bernoulli beam under quasi-static and dynamic loads have been stressed that for better capturing of the visco-elastic behavior, a …

Timoshenko beam theoryMathematical optimizationMechanical EngineeringEuler bernoulli beamMathematical analysisConstitutive equationComputational MechanicsFractional calculuTimoshenko beamViscoelasticityStress fieldHomogeneousSolid mechanicsCost analysisviscoelasticityMathematics
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Fractional visco-elastic Timoshenko beam deflection via single equation

2015

SUMMARY This paper deals with the response determination of a visco-elastic Timoshenko beam under static loading condition and taking into account fractional calculus. In particular, the fractional derivative terms arise from representing constitutive behavior of the visco-elastic material. Further, taking advantages of the Mellin transform method recently developed for the solution of fractional differential equation, the problem of fractional Timoshenko beam model is assessed in time domain without invoking the Laplace-transforms as usual. Further, solution provided by the Mellin transform procedure will be compared with classical Central Difference scheme one, based on the Grunwald–Letni…

Timoshenko beam theoryNumerical AnalysisMellin transformDifferential equationDeflection (engineering)Applied MathematicsMathematical analysisGeneral EngineeringFinite differenceTime domainViscoelasticityFractional calculusMathematicsInternational Journal for Numerical Methods in Engineering
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