Asymptotics of solutions to the spectral elasticity problem for a spatial body with a thin coupler

DOI10.1134/S0037446612020103zbMath1414.74005OpenAlexW1966133022MaRDI QIDQ1760502

Sergueï A. Nazarov

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446612020103

zbMATH Keywords

error estimaterodconvergence theoremlongitudinal oscillationasymptotic eigenvaluetransverse oscillation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) PDEs in connection with mechanics of deformable solids (35Q74) Junctions (74K30)

Related Items (2)

Abnormal transmission of elastic waves through a thin ligament connecting two planar isotropic waveguides ⋮ Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions

Cites Work

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• [Russian Text Ignored.]
• One-dimensional equations of deformation of thin slightly curved rods. Asymptotical analysis and justification
• Scattering frequencies of resonators
• On the eigenvalues of a “dumb-bell with a thin handle”

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