This 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. A Wave Finite Element (WFE) method is used to solve the Rayleigh-Lamb problem for a viscoelastic plate in plain strain, and results are validated using a Finite Product (FP) method. A numerical example concerning a viscoelastic panel is then presented in order 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.

On the effect of damping on dispersion curves in plates / Manconi, Elisabetta; S., Sorokin. - (2013), pp. 2118-2132. (Intervento presentato al convegno 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2013 tenutosi a Kos Iskand, Greece nel 12-14 June 2013).

### On the effect of damping on dispersion curves in plates

#### Abstract

This 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. A Wave Finite Element (WFE) method is used to solve the Rayleigh-Lamb problem for a viscoelastic plate in plain strain, and results are validated using a Finite Product (FP) method. A numerical example concerning a viscoelastic panel is then presented in order 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.
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2013
9789609999434
On the effect of damping on dispersion curves in plates / Manconi, Elisabetta; S., Sorokin. - (2013), pp. 2118-2132. (Intervento presentato al convegno 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2013 tenutosi a Kos Iskand, Greece nel 12-14 June 2013).
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11381/2700294`