标题： 机械谐振器在复频激励下的有效品质因数 显示英文标题

标题： Effective quality factor of mechanical resonators under complex-frequency excitations

摘要： 我们研究了受包含振荡或谐波部分的激励作用的机械谐振器的动力学，其振幅随时间呈指数衰减。 我们将这些复频率激励称为复频率激励，并表明由此产生的响应是准稳态的，即。 在适当的变换后，新变量的响应对应于在谐波激励下的稳态行为。 提出了一种程序，根据这种稳态行为确定幅频响应和有效品质因数。 识别了单自由度和多自由度系统中最优激励，使得幅频响应接近无阻尼系统的响应。 通过数值模拟验证了所提出方法的可行性。 使用丙烯酸制成的悬臂梁进行实验，有效品质因数提高了54倍。 我们的方法不涉及任何结构修改，并为提高非破坏性检测中的检测灵敏度以及改善微机电和纳米机电传感器的分辨率开辟了新途径。 显示英文摘要

摘要： We investigate the dynamics of mechanical resonators subject to excitations comprising of an oscillating or harmonic part, whose amplitude decays exponentially in time. We call these complex frequency excitations and show that the resulting response is quasi-steady, i.e. after an appropriate transform, the response of the new variable corresponds to the steady state behavior under a harmonic excitation. A procedure is presented to determine the amplitude-frequency response and effective quality factor based on this steady-state behavior. Optimal excitations are identified for both single and multi-degree of freedom systems that result in the amplitude-frequency response approaching that of an undamped system. The feasibility of the proposed method is verified through numerical simulations. Experiments with cantilever beams made of acrylic show a 54-fold increase in the effective quality factor. Our method does not involve any structural modifications and opens avenues for improving detection sensitivity in nondestructive testing and enhancing resolution in micro- and nano-electromechanical sensors.