Modeling Unsteady Thermomechanodiffusion Vibrations of a Hingedly Supported Timoshenko Beam

The work is devoted to investigating the influence of the mechanical field on temperature and diffusion processes occurring under steady bending of slender beams. The model used here takes account of the finite velocity of propagation of thermal and diffusion disturbances . A mathematical formulatio...

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Bibliographic Details
Published in:Journal of engineering physics and thermophysics 2024-09, Vol.97 (5), p.1408-1419
Main Authors: Zemskov, A. V., Tarlakovskii, D. V.
Format: Article
Language:English
Subjects:
Aluminum base alloys
Bending moments
Classical Mechanics
Complex Systems
Engineering
Engineering Thermodynamics
Heat and Mass Transfer
Heat transfer
Industrial Chemistry/Chemical Engineering
Mass transfer
Miscellanea
Propagation velocity
Thermodynamics
Timoshenko beams
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Summary:The work is devoted to investigating the influence of the mechanical field on temperature and diffusion processes occurring under steady bending of slender beams. The model used here takes account of the finite velocity of propagation of thermal and diffusion disturbances . A mathematical formulation of the problem includes the system of equations of unsteady flexural vibrations of the beam with account of heat and mass transfer, that has been obtained from the general thermomechanodiffusion 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 diffusion fields, and also have analyzed the influence of relaxation effects on the kinetics of heat and mass transfer.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-024-03012-y