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In this article the three-dimensional dispersion analysis of a homogeneous transversely isotropic magneto generalized thermoelastic cylindrical panel is discussed in the context of the linear theory of generalized thermoelasticity. Three displacement potential functions are introduced to uncouple the equations of motion. A Bessel function solutions with complex argument is used directly to analyze the frequency equations with traction-free boundary conditions and the special cases have also been deduced for magneto-elastic, thermoelastic and elasto-kinetic at various levels from the present analysis. Finally the numerical example demonstrates the present method and is studied for the material magnetostrictive cobalt iron oxide (CoFe 2 O 4 ). The computed nondimensional phase velocity, attenuation coefficient, specific loss and thermo-mechanical coupling factor are plotted in the form of dispersion curves with the support of MATLAB.

In this present problem, we construct the analytical model for wave propagation in a generalized thermoelastic multilayered composite hollow cylinder construct of inner and outer viscothermo layer fastened together by linear Elastic materials with voids (LEMV). To uncouple the equation of motion, and heat conduction equations, displacement potential functions are introduced. The frequency equations are derived for longitudinal and flexural modes of vibration and are studied numerically for heat conducting viscothermoelastic material. The computed dimensionless frequency is presented in the form of scattering curves against various physical variables. Adhesive layer LEMV is compared with Carbon Fiber Reinforced Polymer (CFRP).We found that the frequency wave characteristics are more in physical variables in the presence of thermal parameter.