In the areas of micro- and nanoresonant sensing, energy harvesting, and signal processing, the ability to provide resonance over a broad frequency bandwidth is a persistent goal. One strategy for a broadband resonator that researchers focus on is to exploit the relatively large-amplitude response of micro- and nanoresonators operating in the geometrically nonlinear dynamic regime. Geometric nonlinearity is well known to have a hardening effect on the resonance curve, thereby generating a broadband resonance, the bandwidth of which is limited by the linearized resonant frequency (lower bound) and the drop-down bifurcation frequency (upper bound). With everything else kept constant, increasing the drop-down bifurcation frequency in the frequency response of a nonlinear resonator enhances the broadband resonance. Here, the ultrabroadband resonance of microresonators with geometrically nonlinear stiffness is investigated and validated experimentally. Specifically, a microresonator with a cubic stiffness nonlinearity is excited at its base and, as the excitation amplitude approaches a critical level, a sudden and significant increase in the resonant bandwidth of the fundamental bending mode is observed. The significant implications of this nonlinear phenomenon in sensing, signal processing, and other applications at the microscale are discussed.

中文翻译：

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具有几何非线性刚度和耗散的超宽带微谐振器

在微共振和纳共振传感，能量收集和信号处理领域，在宽频带宽上提供共振的能力是一个长期目标。研究人员关注的宽带谐振器的一种策略是，利用在几何非线性动态范围内工作的微谐振器和纳米谐振器的较大幅度响应。众所周知，几何非线性会对共振曲线产生硬化作用，从而产生宽带共振，其带宽受线性化共振频率（下限）和下拉分叉频率（上限）限制。在其他所有条件保持不变的情况下，增加非线性谐振器频率响应中的下拉分叉频率会增强宽带谐振。这里，研究并验证了具有几何非线性刚度的微谐振器的超宽带谐振。具体地，具有立方刚度非线性的微谐振器在其基部被激励，并且当激励幅度接近临界水平时，观察到基本弯曲模式的谐振带宽突然显着增加。讨论了这种非线性现象在微观传感，信号处理和其他应用中的重大意义。观察到基本弯曲模式的共振带宽突然显着增加。讨论了这种非线性现象在传感，信号处理和其他微尺度应用中的重大意义。观察到基本弯曲模式的共振带宽突然显着增加。讨论了这种非线性现象在微观传感，信号处理和其他应用中的重大意义。