The present study is concerned with the analysis of the existence of magnetic field in micro-beam resonators in the context of generalized thermoelasticity with single relaxation time. MEMS are mostly set in permanent magnetic fields. Two dissimilar cases, with different boundary conditions (First: simply supported and isothermal, Second: clamped and isothermal) of micro-beam resonators, have been discussed. In the first case, magneto-thermoelastic damping has been analyzed by the vibration responses of deflection and thermal moment, which are obtained by the Laplace transform method along with the finite Fourier sine transform method, while in the second case, the magneto-thermoelastic damping has been characterized by the vibration frequency through normal mode analysis. Therefore, the present study highlights the influence of magnetic field in the vibration responses of deflection as well as thermal moment of the micro-beam resonators in both cases separately. Size dependency of micro-beam resonators has been observed. The analytic result shows that the amplitude of deflection and thermal moment is attenuated for the coupled magneto-thermoelasticity.

本研究关注在具有单一弛豫时间的广义热弹性背景下分析微梁谐振器中磁场的存在。MEMS大多设置在永久磁场中。已经讨论了具有不同边界条件（第一个：简单支撑和等温，第二个：夹紧和等温）的微梁谐振器的两种不同情况。在第一种情况下，通过拉普拉斯变换方法和有限傅立叶正弦变换方法获得的偏转和热力矩的振动响应分析了磁热弹性阻尼，而在第二种情况下，磁热弹性阻尼已通过正则模式分析以振动频率为特征。所以，本研究分别强调了磁场对偏转振动响应的影响以及两种情况下微梁谐振器的热力矩。已经观察到微梁谐振器的尺寸依赖性。分析结果表明，对于耦合的磁热弹性，偏转和热力矩的幅度衰减。