ABSTRACT

The vibration analysis of elastic medium is very important along with the miniaturization of the device and wide application of ultra-fast lasers, where size effect on heat conduction and elastic deformation increase and classical theory of thermoelastic coupling does not hold any more. Due to these, size-dependent thermoelastic model have been introduced for higher order simple material to adopt both the size effect of heat conduction and elasticity with the aids of extended irreversible thermodynamics and generalized free energy. Keeping this in mind, the present analysis reports the effect of ultra-short-pulsed laser heating in coupled thermoelastic vibration of a microscale ribbon resonator. The heat transport law of 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 ribbon and the temperature increment within the microscale ribbon. The result provides the direction how the nonlocality and size-dependence can control the vibration analysis and some excellent predictive capability have been demonstrated due to the presence of energy absorption depth and the order of CF derivative also.

摘要

随着器件的小型化和超快激光的广泛应用，弹性介质的振动分析变得越来越重要，尺寸对热传导和弹性变形的影响越来越大，经典的热弹性耦合理论不再成立。因此，借助扩展的不可逆热力学和广义自由能，为高阶简单材料引入了尺寸相关的热弹性模型，以同时采用热传导和弹性的尺寸效应。牢记这一点，本分析报告了超短脉冲激光加热对微型带状谐振器的耦合热弹性振动的影响。当前问题的热传输定律是通过在 Caputo-Fabrizio (CF) 导数的背景下结合三相滞后热传输定律来定义的。有限正弦傅里叶和拉普拉斯变换技术已被用于确定带的横向振动和微尺度带内的温度增量。结果为非定域性和尺寸依赖性如何控制振动分析提供了方向，并且由于能量吸收深度和CF导数的阶数的存在，已经证明了一些优异的预测能力。