Dispersion of Torsional Waves in a Hollow Bilayered Cylinder with Initial Inhomogeneous Thermal Stresses

Akbarov, S. D.; Bagirov, Emin T.

doi:10.1007/s11029-021-09943-4

Cited by 2 publications

(1 citation statement)

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“…It was Vardoulakis who has shown that the torsional wave velocities are significantly effected by the inhomogeneity contained in the medium. Following the idea, Akbarov et al [7] mathematically proved that the velocity of the torsional wave in an initially stressed hollow bi-layered cylinder depends much on the presence of initial inhomogeneous thermal stresses. Torsional Vibrations of Fluid-Filled Multilayered Transversely Isotropic Finite Circular Cylinder has been briefly discussed by Abassi et al [8].…”

Section: Introductionmentioning

confidence: 99%

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

Kumawat

Vishwakarma²

2022

Phys. Scr.

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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.

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Section: Introductionmentioning

confidence: 99%