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Thermodynamic modeling of viscoelastic thin rotating microbeam based on non-Fourier heat conduction
Applied Mathematical Modelling ( IF 4.4 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.apm.2020.10.006
Ahmed E. Abouelregal , Hijaz Ahmad

Abstract 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 Kelvin-Voigt 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.

中文翻译:

基于非傅立叶热传导的粘弹性薄旋转微梁热力学建模

摘要 在这项研究中,基于非傅立叶热传导模型推导出了控制旋转粘弹性微梁热弹性行为的方程组。根据 Kelvin-Voigt 方案结合了材料的粘弹性。除了将其暴露于飞秒激光脉冲热源之外,这种被考虑的微光束还被轴向压缩并以均匀的角速度旋转。当忽略粘性和旋转参数时,所提出的模型可以简化为热弹性梁理论。为了获得所研究领域的解析解,应用了拉普拉斯变换技术。研究了粘性阻尼系数对微梁结构的影响。此外,轴向载荷的影响,
更新日期:2021-03-01
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