The Caputo‐Fabrizio heat transport law in vibration analysis of a microscale beam induced by laser,ZAMM - Journal of Applied Mathematics and Mechanics

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The Caputo‐Fabrizio heat transport law in vibration analysis of a microscale beam induced by laser
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-10-06 , DOI: 10.1002/zamm.202000215
Abhik Sur ₁ , Sudip Mondal ₂

Affiliation

In the application of pulsed laser heating, such as laser hardening of metallic surfaces, conduction limited process is the dominant mechanism during the laser–workpiece interaction. As a consequence, time unsteady analysis of this problem becomes necessary. The present study examines the effect of ultra‐short‐pulsed laser heating in coupled thermoelastic vibration of a microscale beam resonator. The heat transport equation for the current problem is defined by incorporating the three‐phase‐lag heat transport law in the context of Caputo‐Fabrizio (CF) derivative. Finite sinusoidal Fourier and Laplace transform techniques have been employed to determine the lateral vibration of the beam and the temperature increment within the microscale beam. According to the graphical representations corresponding to the numerical results, conclusions about the new theory is constructed. Excellent predictive capability is demonstrated due to the presence of energy absorption depth and the order of CF derivative also.

中文翻译：

Caputo-Fabrizio热传递定律在激光诱导的微尺度光束振动分析中的应用

在脉冲激光加热的应用中，例如金属表面的激光硬化，传导受限的过程是激光与工件相互作用的主要机制。结果，有必要对该问题进行时间不稳定的分析。本研究研究了超短脉冲激光加热在微尺度束谐振器耦合热弹性振动中的作用。通过在Caputo-Fabrizio（CF）导数的上下文中结合三相滞后热传递定律来定义当前问题的热传递方程。有限正弦傅里叶变换和拉普拉斯变换技术已被用于确定光束的横向振动和微尺度光束内的温度增量。根据与数值结果相对应的图形表示，得出有关新理论的结论。由于能量吸收深度的存在以及CF导数的阶数，证明了出色的预测能力。

更新日期：2020-10-06

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