The Eigenfrequencies of the Dirichlet and Neumann Problems for an Oscillating Finite Plate

DOI10.1177/1081286508088703zbMath1197.74054OpenAlexW2127420035MaRDI QIDQ3161515

G. R. Thomson, Christian Constanda

Publication date: 15 October 2010

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286508088703

zbMATH Keywords

vibrationselastic plateseigenfrequencies

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

Uniqueness of solution for the Robin problem in high-frequency vibrations of elastic plates, The direct method for harmonic oscillations of elastic plates with Robin boundary conditions

Cites Work

• Representation theorems for the solutions of high-frequency harmonic oscillations in elastic plates
• Oscillation Problems in Thin Plates with Transverse Shear Deformation
• Radiation conditions and uniqueness for stationary oscillations in elastic plates
• Unnamed Item
• Unnamed Item