A study of the secular equation for rayleigh waves using the root locus method.
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 waves 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.
Royer
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Laboratoire Ondes et Acoustique, ESPCI, Université Paris 7, CNRS UMR 7587, Paris, France. daniel.royer@espci.fr