4.7 Article

Thermodynamic modeling of viscoelastic thin rotating microbeam based on non-Fourier heat conduction

Journal

APPLIED MATHEMATICAL MODELLING
Volume 91, Issue -, Pages 973-988

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2020.10.006

Keywords

Viscoelastic microbeams; Rotating; Thermoelasticity; Angular velocity; Axially stressed

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In this study, the system of equations governing the thermoelastic behavior of a rotating viscoelastic microbeam was derived based on the non-Fourier heat conduction model, incorporating viscoelastic properties using the KelvinVoigt scheme. The proposed model can be simplified to the thermoelastic beam theory when the viscous and rotation parameters are neglected. The effects of viscous damping coefficient, axial load, laser pulse duration, and angular velocity on the thermal and elastic waves of the rotating microbeam were analyzed and presented graphically.
In this investigation, the system of equations governing the thermoelastic behavior of a rotating viscoelastic microbeam has been derived based on the non-Fourier heat conduction model. The viscoelastic properties of the material are incorporated in terms of the KelvinVoigt scheme. This considered microbeam is axially compressed and rotated at a uniform angular velocity in addition to exposing it to a femtosecond laser pulse heat source. The proposed model can be reduced to the thermoelastic beam theory when the viscous and rotation parameters are neglected. To obtain an analytical solution for the studied fields, the Laplace transform technique is applied. The effect of the viscous damping coefficient on the microbeam structure has been studied. Also, the effect of the axial load, laser pulse duration and angular velocity on the thermal and elastic waves of the rotating microbeam has been presented graphically and analyzed in detail. (C) 2020 Elsevier Inc. All rights reserved.

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