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RESEARCH PRODUCT
On the effect of damping on dispersion curves in plates
Elisabetta ManconiSergey Sorokinsubject
PhysicsAsymptotic analysisShear wavesMechanical EngineeringApplied MathematicsPerturbation (astronomy)ViscoelasticityMechanicsDispersionDissipationCondensed Matter PhysicsCoupled waveguideViscoelasticityRayleigh–Lamb problemMaterials Science(all)Mechanics of MaterialsModeling and SimulationModelling and SimulationGuided wavesGeneral Materials ScienceDispersion (water waves)description
AbstractThis paper presents a study on quantitative prediction and understanding of time-harmonic wave characteristics in damped plates. Material dissipation is modelled by using complex-valued velocities of free dilatation and shear waves in an unbounded volume. As a numerical example, solution of the classical Rayleigh–Lamb problem for a viscoelastic plate is presented to illustrate and discuss the role of dissipation in the cut-off phenomenon and in the phenomenon of veering for dispersion curves. These phenomena are explained in more detail considering a simple model, which allows accurate asymptotic analysis of the perturbation of dispersion curves in the regions of cut-off and veering.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-06-01 | International Journal of Solids and Structures |