A study of the secular equation for Rayleigh waves using the root locus method

Authors
Royer, D
Citation
D. Royer, A study of the secular equation for Rayleigh waves using the root locus method, ULTRASONICS, 39(3), 2001, pp. 223-225
Citations number
5
Categorie Soggetti
Optics & Acoustics
Journal title
ULTRASONICS
ISSN journal
0041624X → ACNP
Volume
39
Issue
3
Year of publication
2001
Pages
223 - 225
Database
ISI
SICI code
0041-624X(200104)39:3<223:ASOTSE>2.0.ZU;2-2
Abstract
In a recent note Rahman and Barber [Trans. ASME 62 (1995) 250] proposed an exact expression for the roots of the secular equation for the Rayleigh wav es in an isotropic half-space. Using the root locus method, we describe in a very simpler manner the evolution of the roots versus the Poisson's ratio and we derive easily the critical value for which the nature of the roots changes. (C) 2001 Elsevier Science B.V. All rights reserved.