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arXiv 0802.4267cond-mat.mes-hall
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纳米机械耦合谐振器的响应谱和模态耦合模型

Model of response spectrum and modal interaction in coupled nanomechanical resonators

J. Dorignac, A. Gaidarzhy, P. Mohanty

摘要:

我们开发了一个简单的连续模型来分析纳米机械多元件结构的振动模式。在该模型中,亚微米悬臂梁阵列对称地位于中央夹持-夹持纳米梁的两侧被连续体所取代。在这种方法中,由悬臂施加在中心梁上的点状剪切力被平滑,结构的运动方程变得精确可解。我们的分析结果捕捉到的振动模式的主要特点,观察到的数值和实验。此外,使用微扰的方法来处理的非线性动力学的结构,我们建立了它的频率-振幅响应,并分析了两个特定的宽间隔模式的谐振器之间的非谐耦合的机制。

英文摘要:

We develop a simple continuum model to analyze the vibrational modes of a nanomechanical multi-element structure. In this model, arrays of sub-micron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam are replaced by a continuum. In this approach, the punctual shear forces exerted by the cantilevers on the central beam are smoothed out and the equations of motion of the structure become exactly solvable. Our analytical results capture the main features of the vibrational modes observed both numerically and experimentally. Furthermore, using a perturbative approach to treat the nonlinear dynamics of the structure, we establish its frequency-amplitude response and analyze the mechanism of anharmonic coupling between two specific widely spaced modes of the resonator.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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