The Roots of the Rayleigh Characteristic Equation for Rational Values of the Parameter

Sergey Yur'evich Gurevich, Dmitriy Grigor'evich Kozhevnikov, Evgeniy Valer'evich Golubev

Abstract


The roots of the Rayleigh characteristic equation for surface waves are obtained under the assumption that the square of the ratio of the velocities of volume waves is a rational number. The exact formulas for the roots contain a minimum of radicals and rational numbers.

Keywords


surface waves; Rayleigh wave velocity; roots of the characteristic equation; exact formulas



DOI: http://dx.doi.org/10.14529/mmph240107

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