Complex band structure and evanescent wave propagation of composite corrugated phononic crystal beams

DOI10.1007/S00707-023-03522-5zbMath1521.74113MaRDI QIDQ6098711

Qiang Han, Tengjiao Jiang, Chunlei Li

Publication date: 14 June 2023

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

zbMATH Keywords

Fourier transformLegendre polynomialHamilton principleBloch theoremTimoshenko beam theorysemi-analytical periodic spectral element method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Crystalline structure (74E15) Electromagnetic effects in solid mechanics (74F15) Spectral and related methods applied to problems in solid mechanics (74S25) Linear waves in solid mechanics (74J05)

Cites Work

• Shear waves in an initially stressed elastic plate with periodic corrugations
• Manipulation of the guided wave propagation in multilayered phononic plates by introducing interface delaminations
• Symmetric and anti-symmetric Rayleigh-Lamb modes in sinusoidally corrugated waveguides: an analytical approach
• Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates
• Stopbands and Passbands for Symmetric Rayleigh-Lamb Modes in a Plate With Corrugated Surfaces

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