Trapped modes due to narrow cracks in thin simply-supported elastic plates

DOI10.1016/j.wavemoti.2014.01.002zbMath1459.74097OpenAlexW2038267828MaRDI QIDQ1727547

Xianqiang Yang

Publication date: 20 February 2019

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

Full work available at URL: https://research-information.bris.ac.uk/ws/files/35936504/wave_motion_tm.pdf

zbMATH Keywords

integro-differential equationWiener-Hopf method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Wave scattering in solid mechanics (74J20)

Related Items (4)

Scattering of flexural-gravity waves by a group of elastic plates floating on a stratified fluid ⋮ Time-dependent wave propagation on a variable Winkler foundation with compression ⋮ An Infinite-Length System Possessing a Unique Trapped Mode Versus a Single Degree of Freedom System: A Comparative Study in the Case of Time-Varying Parameters ⋮ Non-stationary localized oscillations of an infinite string, with time-varying tension, lying on the Winkler foundation with a point elastic inhomogeneity

Cites Work

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• Trapped waves in thin elastic plates
• Embedded trapped modes in water waves and acoustics
• Asymptotic reflection of linear water waves by submerged horizontal porous plates
• Scattering of a flexural wave by a finite straight crack in an elastic plate
• Trapped modes in open channels
• Trapped modes in two-dimensional waveguides
• Existence theorems for trapped modes
• Approximations to wave scattering by an ice sheet of variable thickness over undulating bed topography
• BENDING-WAVE DIFFRACTION FROM STRIPS AND CRACKS ON THIN PLATES

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