Somigliana-type representation formulae are established for regular solutions in the theory of high-frequency harmonic oscillations of elastic plates with transverse shear deformation. In the exterior domain case, a special far-field pattern is introduced, which makes it easier to verify the radiati
Uniqueness of solution for the Robin problem in high-frequency vibrations of elastic plates
โ Scribed by G.R. Thomson; C. Constanda
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 219 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
The interior and exterior Robin boundary value problems are considered for the highfrequency harmonic oscillations of a plate with transverse shear deformation, and the uniqueness of their solutions is investigated in terms of eigenfrequencies and far-field radiation conditions.
๐ SIMILAR VOLUMES
An approximate formula for the fundamental frequency of thin elastic plates is presented. In order to estimate the degree of accuracy of this approximation the computed frequencies are compared with values computed by more exact analysis for several different plates with combinations of clamped and
An analytical solution is given for free vibration of a simply supported rectangular plate made of an incompressible linear elastic isotropic material. Through-the-thickness modes of vibration valid for compressible and incompressible materials and missed by previous investigators are also identifie