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Spatial estimates concerning the harmonic vibrations in rectangular plates with voids

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: I.D. Ghiba

Editorial: Archives of Mechanics, 60, p.263-279, 2008.


This paper studies the spatial behaviour of the amplitude of a harmonic vibration in a rectangular plate of Mindlin type, made of a homogeneous and isotropic elastic
material with voids. Provided the frequency of vibration is lower than the critical value, some appropriate measures are introduced relating the amplitude of resulting harmonic vibration, and the corresponding first-order differential inequalities are established under mild conditions on the elastic coefficients. The case of a semi-infinite plate is also studied and some Phragmen-Lindelof alternatives are established.

Cuvinte cheie: spatial behaviour, mindlin plates, materials with voids