Scattering and embedded trapped modes for an infinite nonhomogeneous Timoshenko beam

DOI10.1007/s10665-012-9550-4zbMath1276.74023OpenAlexW2011390434MaRDI QIDQ383494

Hugo Aya, Ricardo Cano, Peter N. Zhevandrov

Publication date: 4 December 2013

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-012-9550-4

zbMATH Keywords

Timoshenko beamperturbationsresonancestrapped modes

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Inhomogeneity in solid mechanics (74E05) Wave scattering in solid mechanics (74J20) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items (6)

Trapped modes and scattering for oblique waves in a two-layer fluid ⋮ Spectra of semi-infinite quantum graph tubes ⋮ Eigenfunctions of unbounded support for embedded eigenvalues of locally perturbed periodic graph operators ⋮ Trapped modes and resonances for thin horizontal cylinders in a two-layer fluid ⋮ Rayleigh-Bloch waves trapped by a periodic perturbation: exact solutions ⋮ Wave scattering by a periodic perturbation: embedded Rayleigh-Bloch modes and resonances

Cites Work

• Unnamed Item
• Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide
• Trapped modes and resonances for water waves over a slightly perturbed bottom
• Embedded trapped modes in water waves and acoustics
• Trapped modes in elastic plates, ocean and quantum waveguides
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Local perturbations of the Schrödinger operator on the axis
• The second spectrum of Timoshenko beam theory—Further assessment
• On the existence of waves guided by a cavity in an elastic film
• Elastic waves in Timoshenko beams: the ‘lost and found’ of an eigenmode
• Trapped modes embedded in the continuous spectrum
• Existence theorems for trapped modes
• Complex resonances in acoustic waveguides
• Binding and Scattering in Two-Dimensional Systems
• Vibrations and Waves in Continuous Mechanical Systems

This page was built for publication: Scattering and embedded trapped modes for an infinite nonhomogeneous Timoshenko beam