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RESEARCH PRODUCT
Fractional visco-elastic Euler–Bernoulli beam
Antonina PirrottaM. Di PaolaRudolf Heuersubject
Constitutive equationVirtual work principleCurvatureFractional calculuViscoelasticityQuasi-static problemsVisco-elastic beamMaterials Science(all)Euler-Bernoulli beamModelling and SimulationGeneral Materials ScienceVirtual workBoundary value problemMathematicsApplied MathematicsMechanical EngineeringMathematical analysisFractional calculusCondensed Matter PhysicsFractional calculusClassical mechanicsMechanics of MaterialsQuasi-static problemModeling and SimulationEuler–Bernoulli beamBending momentCylinder stressSettore ICAR/08 - Scienza Delle Costruzionidescription
Abstract Aim of this paper is the response evaluation of fractional visco-elastic Euler–Bernoulli beam under quasi-static and dynamic loads. Starting from the local fractional visco-elastic relationship between axial stress and axial strain, it is shown that bending moment, curvature, shear, and the gradient of curvature involve fractional operators. Solution of particular example problems are studied in detail providing a correct position of mechanical boundary conditions. Moreover, it is shown that, for homogeneous beam both correspondence principles also hold in the case of Euler–Bernoulli beam with fractional constitutive law. Virtual work principle is also derived and applied to some case studies.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-10-01 | International Journal of Solids and Structures |