MODELING UNSTEADY THERMOMECHANODIFFUSION VIBRATIONS OF A HINGEDLY SUPPORTED TIMOSHENKO BEAM

The work is devoted to investigating the infl uence of the mechanical fi eld on temperature and diff usion processes occurring under steady bending of slender beams. The model used here takes account of the fi nite velocity of propagation of thermal and diff usion disturbances . A mathematical formulation of the problem includes the system of equations of unsteady fl exural vibrations of the beam with account of heat and mass transfer, that has been obtained from the general thermomechanodiff usion model for continuous media using the generalized principle of virtual displacements. With the example of a hingedly supported three-component beam fabricated from a zinc, copper, and aluminum alloy and exposed to unsteady bending moments, the authors have investigated the interaction of mechanical, temperature, and diff usion fi elds, and also have analyzed the infl uence of relaxation eff ects on the kinetics of heat and mass transfer
The work is devoted to investigating the infl uence of the mechanical fi eld on temperature and diff usion processes occurring under steady bending of slender beams. The model used here takes account of the fi nite velocity of propagation of thermal and diff usion disturbances . A mathematical formulation of the problem includes the system of equations of unsteady fl exural vibrations of the beam with account of heat and mass transfer, that has been obtained from the general thermomechanodiff usion model for continuous media using the generalized principle of virtual displacements. With the example of a hingedly supported three-component beam fabricated from a zinc, copper, and aluminum alloy and exposed to unsteady bending moments, the authors have investigated the interaction of mechanical, temperature, and diff usion fi elds, and also have analyzed the infl uence of relaxation eff ects on the kinetics of heat and mass transfer
Author:  A. V. Zemskov, D. V. Tarlakovskii
Keywords:  thermomechanodiff usion, Timoshenko beam, Green′s function, Fourier series, heat and mass transfer, unsteady problems
Page:  1408