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On the Spatial Behaviour of Harmonic Vibrations in an Elastic

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

Autori: I.D. Ghiba

Editorial: An. St. Univ. Iasi, Sect. Matematica, LII, f.1, p.75-86, 2006.

Rezumat:

This paper studies the spatial behaviour of the steady-state vibrations
in a right elastic cylinder, under mild conditions upon the elastic coefficients. In fact, we
establish some exponential decay estimates of Saint-Venant type for two cross-sectional
area measures associated with the amplitude of the steady-state vibrations, provided
that the elasticity tensor is assumed to be strongly elliptic and the prescribed frequency
is lower than a certain critical value.

Cuvinte cheie: comportare spatiala, vibratii armonice, tensor elastic tare eliptic // spatial behaviour, harmonic vibrations, strongly elliptic elasticity tensor