论文标题
通过参数导向内部共振增强非线性阻尼
Enhancing nonlinear damping by parametric-direct internal resonance
论文作者
论文摘要
非线性阻尼的机械源在现代物理学（从固态物理学到热力学）中起着核心作用。机械耗散的微观理论[M.我 。 Dykman，M。A. Krivoglaz，Physica状态实体（B）68，111（1975）]表明，当谐振模式的非线性阻尼耦合到接近其谐振频率两倍的振动模式时，可以强烈增强。迄今为止，尚未实现这种增强的实验证据。在这封信中，我们通过实验表明，驱动到参数直接的内部共振为非线性耗散理论提供了支持的证据。通过调节驱动水平，我们调整了在40-70 MHz范围内的石墨烯纳米曲线的参数共振，以达到连续的一对一的内部共振，从而导致非线性阻尼增加了近两倍。我们的研究为利用模态相互作用和参数共振开辟了一条令人兴奋的途径，以实现在广泛频率范围内具有工程非线性耗散的共振器。
Mechanical sources of nonlinear damping play a central role in modern physics, from solid-state physics to thermodynamics. The microscopic theory of mechanical dissipation [M. I . Dykman, M. A. Krivoglaz, Physica Status Solidi (b) 68, 111 (1975)] suggests that nonlinear damping of a resonant mode can be strongly enhanced when it is coupled to a vibration mode that is close to twice its resonance frequency. To date, no experimental evidence of this enhancement has been realized. In this letter, we experimentally show that nanoresonators driven into parametric-direct internal resonance provide supporting evidence for the microscopic theory of nonlinear dissipation. By regulating the drive level, we tune the parametric resonance of a graphene nanodrum over a range of 40-70 MHz to reach successive two-to-one internal resonances, leading to a nearly two-fold increase of the nonlinear damping. Our study opens up an exciting route towards utilizing modal interactions and parametric resonance to realize resonators with engineered nonlinear dissipation over wide frequency range.
