LONG-WAVE VIBRATIONS OF A THINWALLED BODY WITH FIXED FACES

DOI10.1093/QJMAM/48.3.311zbMath0829.73028OpenAlexW2033800541WikidataQ57574154 ScholiaQ57574154MaRDI QIDQ4848815

Julius D. Kaplunov

Publication date: 20 September 1995

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/48.3.311

zbMATH Keywords

three-dimensional elasticityasymptotic analysisthickness resonances

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (13)

The Transition between Neumann and Dirichlet Boundary Conditions in Isotropic Elastic Plates ⋮ Long wave asymptotic integration of the governing equations for a pre-stressed incompressible elastic layer with fixed faces ⋮ Generalisation of elastic models for a layer with elastically restrained boundaries ⋮ Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell ⋮ Three-dimensional dynamic analysis of layered elastic shells ⋮ Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media ⋮ Trapped modes in topographically varying elastic waveguides ⋮ Long-wave dispersion phenomena in a layer subject to elastically restrained boundary conditions ⋮ Elastic contact of a stiff thin layer and a half-space ⋮ Low-frequency cutoffs for the dispersion spectrum of elastic waves in a thin-walled anisotropic cylinder ⋮ Radiation conditions for a semi-infinite elastic strip ⋮ An Asymptotically Consistent Model for Long-Wave High-Frequency Motion in a Pre-Stressed Elastic Plate ⋮ Rayleigh-type waves on a coated elastic half-space with a clamped surface

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