Complex resonance and localized vibrations at the edge of a semi-infinite elastic cylinder

DOI10.1177/1081286511412439zbMath1291.74097OpenAlexW2161153972MaRDI QIDQ5167911

V. Pagneux

Publication date: 2 July 2014

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286511412439

zbMATH Keywords

elastic cylinderelastic waveguideedge resonancecomplex resonancePochhammer modes

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Wave scattering in solid mechanics (74J20)

Related Items (4)

Localized bulging in an inflated cylindrical tube of arbitrary thickness -- the effect of bending stiffness ⋮ The Mandelstam energy radiation conditions and the Umov-Poynting vector in elastic waveguides ⋮ On the use of perfectly matched layers in the presence of long or backward propagating guided elastic waves ⋮ The eigenfrequencies of a slightly curved isotropic strip clamped between absolutely rigid profiles

Uses Software

• Differentiation Matrix Suite

Cites Work

• The reflection of a symmetric Rayleigh-Lamb wave at the fixed or free edge of a plate
• Edge resonance in an elastic semi-infinite cylinder
• Eigenvalue of a semi-infinite elastic strip
• Lamb wave propagation in elastic waveguides with variable thickness
• Three-dimensional edge waves in plates
• Theory of elastic resonance excitation by sound scattering
• Edge resonance in an elastic semi-strip
• Existence theorems for trapped modes
• Complex resonances in acoustic waveguides
• Lamb wave propagation in inhomogeneous elastic waveguides
• AXISYMMETRIC WAVES IN A SEMI-INFINITE ELASTIC ROD
• An Experimental and Theoretical Investigation of Elastic Wave Propagation in a Cylinder
• Axially symmetric modes in finite cylinders --- the wave guide solution

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