Effect of rotation on Rayleigh waves in piezothermoelastic half space

AbstractThe present paper deals with the study of rotation effect on the characteristics of Rayleigh waves propagating in a homogeneous, transversely isotropic piezothermoelastic half space in the framework of linear theory including Coriolis and Centrifugal forces. The medium is subjected to stress free, thermally insulated, electrically shorted/charge free boundary conditions and is rotating about an axis perpendicular to its plane. Characteristics of surface waves propagating in thermoelastic piezoelectric solids and their dependence upon various geometric and physical parameters are derived. After deriving secular equations in closed form and isolated mathematical conditions, the effect of rotation on dispersion curves and attenuation profiles is studied. The specific loss factor and relative frequency shift are also obtained in case of open and closed circuit electric surface conditions. Finally, in order to illustrate and verify the analytical results, numerical solution of various secular equations and other relevant relations are derived for cadmium selenide (6mm) class material. The analysis shows that the rotation sensitivity at long wavelengths (in the vicinity of the surface) is substantially greater than those at short wavelengths (deep into the half space). The study is very helpful in the development of rotation sensors and other piezoelectric devices