Department of Mechanical Engineering, Konkuk University, Seoul, 143-701, Republic of Korea.
Nanoscale Res Lett. 2012 Sep 4;7(1):499. doi: 10.1186/1556-276X-7-499.
Graphene has received significant attention due to its excellent mechanical properties, which has resulted in the emergence of graphene-based nano-electro-mechanical system such as nanoresonators. The nonlinear vibration of a graphene resonator and its application to mass sensing (based on nonlinear oscillation) have been poorly studied, although a graphene resonator is able to easily reach the nonlinear vibration. In this work, we have studied the nonlinear vibration of a graphene resonator driven by a geometric nonlinear effect due to an edge-clamped boundary condition using a continuum elastic model such as a plate model. We have shown that an in-plane tension can play a role in modulating the nonlinearity of a resonance for a graphene. It has been found that the detection sensitivity of a graphene resonator can be improved by using nonlinear vibration induced by an actuation force-driven geometric nonlinear effect. It is also shown that an in-plane tension can control the detection sensitivity of a graphene resonator that operates both harmonic and nonlinear oscillation regimes. Our study suggests the design principles of a graphene resonator as a mass sensor for developing a novel detection scheme using graphene-based nonlinear oscillators.
由于其优异的机械性能，石墨烯受到了广泛关注，这导致了基于石墨烯的纳米机电系统（如纳米谐振器）的出现。尽管石墨烯谐振器很容易就能达到非线性振动，但石墨烯谐振器的非线性振动及其在质量传感（基于非线性振荡）中的应用仍未得到充分研究。在这项工作中，我们使用连续体弹性模型（如板模型）研究了由于边缘夹持边界条件引起的几何非线性效应驱动的石墨烯谐振器的非线性振动。我们表明，面内张力可以在调制石墨烯的共振非线性方面发挥作用。研究发现，通过利用驱动力引起的几何非线性效应产生的非线性振动，可以提高石墨烯谐振器的检测灵敏度。研究还表明，面内张力可以控制在谐和非线性振动两种模式下工作的石墨烯谐振器的检测灵敏度。我们的研究为石墨烯谐振器作为质量传感器的设计提供了设计原则，为利用基于石墨烯的非线性振荡器开发新的检测方案提供了思路。
