Circumferential Horizontal Shear Waves in an Inhomogeneous 1-D Quasi-Crystal Hollow Cylinder

In this paper, equations of wave motion for circumferential horizontal shear (SH) waves in an inhomogeneous 1-D quasi-crystal hollow cylinder are derived. Dispersion relation of SH waves is calculated by employing the Legendre polynomial series. The influence of phonon-phason coupling, inhomogeneity and geometric parameters on dispersion curves is analyzed. Results show that the angular frequency of phonon mode increases, and that of phason mode decreases as phonon-phason coupling constants Ri increase. The numerical results are of reference significance for the design and optimization of quasi-crystal structures.