ASYMPTOTIC ANALYSIS OF HIGH-FREQUENCY MODES IN THIN RODS

Authors
IRAGO H KERDID N VIANO JM
Citation
H. Irago et al., ASYMPTOTIC ANALYSIS OF HIGH-FREQUENCY MODES IN THIN RODS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(10), 1998, pp. 1255-1260
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
10
Year of publication
1998
Pages
1255 - 1260
Database
ISI
SICI code
0764-4442(1998)326:10<1255:AAOHMI>2.0.ZU;2-R
Abstract
In this work, we show that a class of high frequency modes of the thre e-dimensional linearized elasticity system in a thin rod and their ass ociated eigenfunctions converge, as the thickness of the rods goes to zero, and the limit model is a coupled one-dimensional problem giving the classical equations for torsion and stretching vibrations. (C) Aca demie des Sciences/Elsevier, Paris.