ABSTRACT

The vibration of elastic micro-beam is of major significance due to wide applications 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. Accordingly, the size-dependent thermoelastic model has been developed to deal with higher-order simple material to adopt both size effect of heat conduction and elasticity with the aids of extended irreversible thermodynamics and generalized free-energy. This survey demonstrates the effect of ultra-short-pulsed laser heating in the problem of coupled thermoelastic vibration of a microscale resonator, in which, the non-local heat transport equation is drafted in an integral form of a common derivative on a slipping interval by incorporating the three-phase-lag memory-dependent heat transfer in the context of two-temperature theory. Laplace transform and finite sinusoidal Fourier transform techniques have been employed to determine the lateral vibration of the beam and the scaled thermal moment within the beam. According to the graphical representations corresponding to the numerical results, conclusions about the new theory is constructed. Specific attention is paid to study the effect of thermal non-local parameter, energy absorption depth, memory-dependent derivative, the two-temperature parameter and delay time also.

摘要

由于超快激光器的广泛应用，弹性微束的振动具有重要意义，在超快激光器中，尺寸对热传导和弹性变形的影响增加，而经典的热弹性耦合理论不再适用。因此，已经开发了尺寸依赖的热弹性模型，以处理高阶简单材料，以借助不可逆的热力学和广义自由能同时采用导热和弹性的尺寸效应。这项调查证明了超短脉冲激光加热在微型谐振器的热弹性振动耦合问题中的作用，其中，非局部传热方程是在两温理论的背景下，通过结合三相滞后记忆相关的热传递，在滑移区间上以公导数的积分形式拟定的。拉普拉斯变换和有限正弦傅立叶变换技术已用于确定梁的横向振动和梁内的定标热矩。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。还应特别注意研究热非局部参数，能量吸收深度，记忆相关导数，两个温度参数和延迟时间的影响。拉普拉斯变换和有限正弦傅立叶变换技术已用于确定梁的横向振动和梁内的定标热矩。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。还应特别注意研究热非局部参数，能量吸收深度，记忆相关导数，两个温度参数和延迟时间的影响。拉普拉斯变换和有限正弦傅立叶变换技术已用于确定梁的横向振动和梁内的定标热矩。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。还应特别注意研究热非局部参数，能量吸收深度，记忆相关导数，两个温度参数和延迟时间的影响。