Dynamic response of torsional waves in an anisotropic infinite cylinder with finite thickness

Abstract

The transference of torsional surface waves in an infinite anisotropic cylinder has been investigated. The equation of motion has been expressed in the cylindrical coordinate system, and by the means of the separation of variables, the displacement has been derived in terms of the Bessel function of the first kind and second kind. With the use of suitable boundary conditions, the dispersion equation has been deduced in a closed-form. Particular cases have been derived for monoclinic, orthotropic, transversely isotropic(precisely transtropic), and isotropic medium. In order to exhibit the present findings, graphs have been plotted for phase velocity against wave number to study the impact of elastic coefficients and the ratio of radii of the cylinder. In the end, phase velocity for different media has been compared. The study can be useful to construct torsional wave sensors in predicting the extent of damage during an earthquake by means of artificial explosions.