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Dynamic analysis for axially moving viscoelastic panels

2012

In this study, stability and dynamic behaviour of axially moving viscoelastic panels are investigated with the help of the classical modal analysis. We use the flat panel theory combined with the Kelvin–Voigt viscoelastic constitutive model, and we include the material derivative in the viscoelastic relations. Complex eigenvalues for the moving viscoelastic panel are studied with respect to the panel velocity, and the corresponding eigenfunctions are found using central finite differences. The governing equation for the transverse displacement of the panel is of fifth order in space, and thus five boundary conditions are set for the problem. The fifth condition is derived and set at the in-…

Constitutive equationDynamicMaterial derivative02 engineering and technology01 natural sciencesViscoelasticityDisplacement (vector)Physics::Fluid DynamicsViscositystabiilius0203 mechanical engineeringMaterials Science(all)viscoelasticModelling and Simulation0103 physical sciencesGeneral Materials ScienceBoundary value problemta216010301 acousticsMathematicsViscoelasticdynamicominaisarvotMechanical EngineeringApplied MathematicsLiikkuvapalkkiFlexural rigidityBeamEigenvaluesMechanicsviscoelastinenstabilityCondensed Matter Physics020303 mechanical engineering & transportsdynaaminenMechanics of MaterialsModeling and SimulationBending stiffnessbeamMovingliikkuminenStabilityInternational Journal of Solids and Structures
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