Trapped modes in topographically varying elastic waveguides

DOI10.1016/j.wavemoti.2006.10.002zbMath1231.74150OpenAlexW2071905512MaRDI QIDQ661512

Richard V. Craster, Julia Postnova

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2006.10.002

zbMATH Keywords

resonance frequencyasymptotic expansionspectral methodgroup velocityelastic platestrapped modes

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Linear waves in solid mechanics (74J05)

Related Items (11)

New insights into topographically feature guided waves (FGW) propagation in non-uniform elastic waveguides ⋮ On the backward Lamb waves near thickness resonances in anisotropic plates ⋮ Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media ⋮ Guided elastic waves and perfectly matched layers ⋮ Trapped waves in thin elastic plates ⋮ Trapped modes in elastic plates, ocean and quantum waveguides ⋮ Wave trapping in a two-dimensional sound-soft or sound-hard acoustic waveguide of slowly-varying width ⋮ Characteristics of wave propagation in piezoelectric bent rods with arbitrary curvature ⋮ Rayleigh waves guided by topography ⋮ On the acoustic trapped modes and their symmetry properties in a circular cylindrical waveguide with a cavity ⋮ Guided and standing Bloch waves in periodic elastic strips

Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

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• Elastic wedge waves
• Trapped modes in bent elastic rods
• Trapped modes for off-centre structures in guides
• Localized vibration in elastic structures with slowly varying thickness
• Eigenvalue of a semi-infinite elastic strip
• Uniqueness below a cut-off frequency for the two-dimensional linear water-wave problem
• Existence theorems for trapped modes
• Finitely-generated solutions of certain integral equations
• Spectral Methods in MATLAB
• MATHEMATICAL ANALYSIS OF ELASTIC SURFACE WAVES IN TOPOGRAPHIC WAVEGUIDES
• Binding and Scattering in Two-Dimensional Systems
• Bound states in coupled guides. I. Two dimensions
• LONG-WAVE VIBRATIONS OF A THINWALLED BODY WITH FIXED FACES
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Trapped modes in curved elastic plates

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