The dynamics of a thermoelastic rod of finite length are studied under action of periodic external force and thermal sources. The model of connected thermoelasticity are used, taking into account the effect of temperature on the elastic deformation and stresses and as well as the effect of elastic deformation speed on the temperature field in the rod. Based on the method of generalized functions the analytical solutions of boundary value problems of the stationary vibration of a thermoelastic rod for various types of boundary conditions are constructed. The computer implementation of the boundary value problems are performed. The calculation results of movement and temperature of the rod at different frequencies, and a comparative analysis of solutions are presented.