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

✍ Scribed by Daniel Royer

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 81 KB
Volume: 39
Category: Article
ISSN: 0041-624X
DOI: 10.1016/s0041-624x(00)00063-9

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✦ Synopsis

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.

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