Perforated grating stacks in thin elastic plates

DOI10.1016/j.wavemoti.2016.07.013OpenAlexW2486594478MaRDI QIDQ2188185

Michael J. A. Smith, Michael H. Meylan

Publication date: 10 June 2020

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

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2016.07.013

zbMATH Keywords

vibrationthin elastic plategratingsbiharmonic plate equationfree-edge conditions

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Cites Work

• Flexural waves on a pinned semi-infinite thin elastic plate
• A general boundary integral formulation for the numerical solution of plate bending problems
• The Green's function for the two-dimensional Helmholtz equation in periodic domains
• Penetration of flexural waves through a periodically constrained thin elastic plate in vacuo and floating on water
• Convergence properties and flat bands in platonic crystal band structures using the multipole formulation
• Wave scattering by ice floes and polynyas of arbitrary shape
• Wave scattering by platonic grating stacks
• Double Dirac cones atk= 0 in pinned platonic crystals
• A short remark on the band structure of free-edge platonic crystals
• Two–dimensional phononic crystals and scattering of elastic waves by an array of voids
• Flexural wave filtering and platonic polarisers in thin elastic plates
• Negative refraction and dispersion phenomena in platonic clusters
• Bloch–Floquet bending waves in perforated thin plates

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