Exact solutions of problems on harmonic vibrations of a thermoelastic rod having a triangular cross section with account for the connectedness

Two exact solutions of the problem on harmonic vibrations of a thermoelastic rod with a cross section representing a right triangle have been obtained with the use of multiaction logic operations. The influence of the connectedness of the problem as well as the temperature and elastic properties of the indicated rod on the wave process of its deformation has been investigated. Expressions for the velocities of the temperature, longitudinal, and shear waves were obtained. A criterion M₀ for the expediency of taking into account the connectedness in the formulation of the problem was determined. __________ Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 80, No. 6, pp. 18–29, November–December, 2007.