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首页> 外文期刊>Applied Mathematical Modelling >Memory response on magneto-thermoelastic vibrations on a viscoelastic micro-beam exposed to a laser pulse heat source
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Memory response on magneto-thermoelastic vibrations on a viscoelastic micro-beam exposed to a laser pulse heat source

机译：磁热弹性振动对激光脉冲热源的磁热弹性振动的记忆响应

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The concept of the memory-dependent derivative has been found to be more intuitive for understanding the physical meaning of real-world problems. The attractiveness of the memory-dependent derivative can be understood in such a way that its important components can be freely chosen according to the requirements of the problem. Linear viscosity theory plays a critical role in the study of solids and polymers when they are subjected to thermodynamic loading. The current study presents a new mathematical model based on the concept of memory-based derivative to analyze the nature of the thermoviscoelas-tic micro-beams surrounded by a magnetic field considering the effects of temperature change. The governing equations are constructed in the context of generalized thermoelas-ticity with two delay times using the concept of Euler-Bernoulli beam theory, Maxwell's electromagnetic equations and the Kelvin-Voigt viscosity model. The proposed model has been applied to study a micro-beam fixed at both ends and exposed to a laser pulse type heat source. The analytic solutions of the physical fields have been determined using the Laplace transform technique. In order to show the efficiency of the new thermal conductivity model, a comparison has been made between the results in the presence or absence of the memory-dependent derivative. In addition, the significant effects of influencing parameters such as memory-dependent derivative, kernel function and time delay as well as the intensity of the laser pulse on the physical fields have been analyzed.
机译：已经发现记忆依赖衍生物的概念更加直观地了解现实世界问题的物理意义。存储器依赖性衍生物的吸引力可以通过这种方式理解，即它的重要组成部分可以根据问题的要求自由选择。线性粘度理论在对其进行热力学载荷时在固体和聚合物的研究中起着关键作用。目前的研究提出了一种基于基于存储器的衍生概念的新数学模型，以分析考虑温度变化效果的磁场围绕的热滤波器微束的性质。控制方程在广义热量的背景下构建，使用欧拉 - 伯努利光束理论，麦克斯韦尔的电磁方程和克利文 - voigt粘度模型的两个延迟时间构建。所提出的模型已经应用于研究两端固定的微束并暴露于激光脉冲型热源。使用Laplace变换技术确定了物理领域的分析解决方案。为了呈现新的导热率模型的效率，在依赖于记忆衍生物的存在或不存在之间的结果之间已经进行了比较。另外，已经分析了影响参数，例如存储器相关的衍生物，核函数和时间延迟以及物理领域上的激光脉冲的强度的显着影响。

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