๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Representation theorems for the solutions of high-frequency harmonic oscillations in elastic plates

โœ Scribed by G.R. Thomson; C. Constanda

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
231 KB
Volume
11
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 radiation conditions. ~

๐Ÿ“œ SIMILAR VOLUMES

Uniqueness of solution for the Robin pro
Uniqueness of solution for the Robin problem in high-frequency vibrations of elastic plates
โœ G.R. Thomson; C. Constanda ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 219 KB

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.

Analytical solution for vibration of an
Analytical solution for vibration of an incompressible isotropic linear elastic rectangular plate, and frequencies missed in previous solutions
โœ S. Aimmanee; R.C. Batra ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 190 KB

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