The propagation of elastic surface waves, guided by the free surface of an infinitely long cylinder of arbitrary cross section, is formulated as an eigenvalue problem for an unbounded self-adjoint operator. We prove the existence of a hierarchy of guided modes. Two of them propagate for any value of the wave number, whereas all of the others only exist beyond a cut-off wave number. For any fixed value of the wave number, only a finite number of modes propagate.
Publié le : 1991-07-04
Classification:
unbounded selfadjoint operator,
eigenvalue problem,
surface waves,
guided modes,
[MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],
[PHYS.MECA.MEMA]Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph],
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],
[INFO.INFO-IR]Computer Science [cs]/Information Retrieval [cs.IR]
@article{hal-01133925,
author = {Bamberger, A and Joly, P and Kern, Michel},
title = {Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section},
journal = {HAL},
volume = {1991},
number = {0},
year = {1991},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01133925}
}
Bamberger, A; Joly, P; Kern, Michel. Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section. HAL, Tome 1991 (1991) no. 0, . http://gdmltest.u-ga.fr/item/hal-01133925/