Keşkekler Ata, Shoshani Oriel, Lee Martin, van der Zant Herre S J, Steeneken Peter G, Alijani Farbod
Department of Precision and Microsystems Engineering, Delft University of Technology, Mekelweg 2, Delft, 2628 CD, The Netherlands.
Department of Mechanical Engineering, Ben-Gurion University of Negev, Beersheba, Israel.
Nat Commun. 2021 Feb 17;12(1):1099. doi: 10.1038/s41467-021-21334-w.
Mechanical sources of nonlinear damping play a central role in modern physics, from solid-state physics to thermodynamics. The microscopic theory of mechanical dissipation 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 a route towards utilizing modal interactions and parametric resonance to realize resonators with engineered nonlinear dissipation over wide frequency range.
从固态物理到热力学，非线性阻尼的力学来源在现代物理学中起着核心作用。机械耗散的微观理论表明，当共振模式与接近其共振频率两倍的振动模式耦合时，该共振模式的非线性阻尼会显著增强。迄今为止，尚未有这种增强效应的实验证据。在本信函中，我们通过实验表明，被驱动进入参量-直接内共振的纳米谐振器为非线性耗散的微观理论提供了支持证据。通过调节驱动水平，我们将石墨烯纳米鼓的参量共振在40 - 70兆赫兹范围内进行调谐，以实现连续的二对一内共振，从而使非线性阻尼增加近两倍。我们的研究开辟了一条利用模态相互作用和参量共振来实现具有在宽频率范围内工程化非线性耗散的谐振器的途径。
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