On the stability of Lamb modes

DOI10.1007/BF01181037zbMath0873.73021OpenAlexW2335669658MaRDI QIDQ5961838

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Publication date: 29 October 1997

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01181037

zbMATH Keywords

frequencyalgebraic eigenvalue problemBriggs casuality conditionChebyshev collocation methodhomogeneous wave-guideLamé's constantssignalling problem

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Seismology (including tsunami modeling), earthquakes (86A15) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (4)

Mode series expansions at vertical boundaries in elastic waveguides ⋮ Destabilization of a viscoelastic tectonic plate by wind stress ⋮ Neutral stability of, and resonances in, a vertically stratified floating ice layer. ⋮ Axisymmetric resonant disturbances in a homogeneous wave guide

Cites Work

• Differential eigenvalue problems in which the parameter appears nonlinearly
• On the completeness of Lamb modes
• A study of absolute and convective instabilities with an application to the Eady model
• Spatially Amplifying Waves in Plane Poiseuille Flow
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