EXACT SOLUTIONS OF PROBLEMS ON HARMONIC
VIBRATIONS OF A THERMOELASTIC ROD HAVING
A TRIANGULAR CROSS SECTION WITH ACCOUNT
FOR THE CONNECTEDNESS

A. D. Chernyshev

UDC 536.539

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.

Voronezh State Technological Academy, 19 Revolyutsiya Ave., 
Voronezh, 394000, Russia; email: post@vgta.vrn.ru. Translated 
from Inzhenerno-Fizicheskii Zhurnal, Vol. 80, No. 6, pp. 18-29, 
November-December, 2007. Original article submitted April 25, 2006.