Uniqueness of solution for the Robin problem in high-frequency vibrations of elastic plates

DOI10.1016/j.aml.2010.11.017zbMath1428.74143OpenAlexW2037162012MaRDI QIDQ617037

G. R. Thomson, Christian Constanda

Publication date: 20 January 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.11.017

zbMATH Keywords

elastic plateuniqueness theoremsharmonic oscillationsrobin boundary conditions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items

The null field equations for flexural oscillations of elastic plates ⋮ Uniqueness of analytic solutions for stationary plate oscillations in an annulus ⋮ Integral equations of the first kind in the theory of oscillating plates ⋮ Holographic superfluids as duals of rotating black strings

Cites Work

• A matrix of fundamental solutions in the theory of plate oscillations
• Representation theorems for the solutions of high-frequency harmonic oscillations in elastic plates
• On the Robin problem for the equations of thin plates
• The Eigenfrequencies of the Dirichlet and Neumann Problems for an Oscillating Finite Plate
• Oscillation Problems in Thin Plates with Transverse Shear Deformation
• Radiation conditions and uniqueness for stationary oscillations in elastic plates
• Elastic Boundary Conditions in the Theory of Plates
• Smoothness properties of Newtonian potentials in the study of elastic plates
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