The deferred limit method for long waves in a curved waveguide

DOI10.1098/RSPA.2016.0900zbMath1404.74067OpenAlexW2609261700MaRDI QIDQ4647187

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Publication date: 4 January 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2016.0900

zbMATH Keywords

shell theorydispersion relationBessel functionsstrong couplingKirchhoff-Love approximation

Mathematics Subject Classification ID

Linear waves in solid mechanics (74J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell ⋮ The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell ⋮ Asymptotic derivation of refined dynamic equations for a thin elastic annulus

Uses Software

• DLMF

Cites Work

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• Low-frequency cutoffs for the dispersion spectrum of elastic waves in a thin-walled anisotropic cylinder
• The high-frequency asymptotic analysis of guided waves in a circular elastic annulus
• Lamb quasi–modes in curved plates
• Influence of centerline extensibility on the in-plane free vibrations of loaded circular arches

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