Nonlinearity in nanomechanical cantilevers
Nonlinearity in nanomechanical cantilevers
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DOI：
10.1103/physrevb.87.024304
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发表时间：
2013-01-28
影响因子：
3.7
通讯作者：
Roukes, M. L.
中科院分区：
文献类型：
--
作者：
Villanueva, L. G.;Karabalin, R. B.;Roukes, M. L.
Euler-Bernoulli梁理论被广泛用于成功预测微纳米悬臂梁的线性动力学。然而，它的能力来表征这些设备的非线性动力学尚未得到严格的评估，尽管它在纳米机电系统的发展。在这篇文章中，我们报告了第一个高度控制的测量的非线性响应的纳米机械杠杆使用超线性检测系统。这是进行广泛的设备，以探测欧拉-伯努利理论在非线性制度的有效性。我们发现，它的预测强烈偏离我们的测量的基本弯曲模式的非线性，这表明一个系统的纵横比（长/宽）的依赖与随机散射。这与第二种模式相反，第二种模式总是与理论相一致。这些发现强调了基本模式中惯性和几何非线性效应之间的微妙平衡，并强烈激励进一步的工作，以发展超越欧拉-伯努利近似的理论。DOI：10.1103/PhysRevB.87.024304
Euler-Bernoulli beam theory is widely used to successfully predict the linear dynamics of micro-and nanocantilever beams. However, its capacity to characterize the nonlinear dynamics of these devices has not yet been rigorously assessed, despite its use in nanoelectromechanical systems development. In this article, we report the first highly controlled measurements of the nonlinear response of nanomechanical cantilevers using an ultralinear detection system. This is performed for an extensive range of devices to probe the validity of Euler-Bernoulli theory in the nonlinear regime. We find that its predictions deviate strongly from our measurements for the nonlinearity of the fundamental flexural mode, which show a systematic dependence on aspect ratio (length/width) together with random scatter. This contrasts with the second mode, which is always found to be in good agreement with theory. These findings underscore the delicate balance between inertial and geometric nonlinear effects in the fundamental mode, and strongly motivate further work to develop theories beyond the Euler-Bernoulli approximation. DOI: 10.1103/PhysRevB.87.024304