• THE NUMERICAL COMPUTATIONS FOR ANTISYMMETRIC MODES OF VIBRATION OF A TRANSVERSELY ISOTROPIC GENERALIZED THERMOELASTIC PLATE

Abstract

The objective of this paper is to investigate the propagation of plane harmonic waves in a homogenous transversely isotropic plate of finite width. A generalized theory of thermoelasticity effects are taken into consideration in detail with three different relaxation time theories. The frequency equation for the plate in closed form and suitable mathematical conditions for antisymmetric wave mode propagation is derived. Numerical computations for the frequency equation for three various theories of generalized thermoelasticity is carried out for zinc crystal. The real and imaginary parts of the frequency equation as a function of phase velocity for different values of thermal relaxation times are illustrated graphically. It is found that the frequency equation of the antisymmetric motion can be oscillating with respect to the medial of the plate. Moreover, it gets modified due to the thermal relaxation times and anisotropic effects. Finally, the results for the coupled thermoelasticity can be obtained as particular cases of the results by setting thermal relaxation times equal to zero.