Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator
Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator
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DOI：
10.1088/1367-2630/14/11/113040
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发表时间：
2012-11-28
影响因子：
3.3
通讯作者：
Owers-Bradley, J. R.
中科院分区：
文献类型：
--
作者：
Lulla, K. J.;Cousins, R. B.;Owers-Bradley, J. R.
我们提出了一个单一的高应力，双夹氮化硅纳米机械梁的不同弯曲振动模式之间的非线性模态间耦合的研究结果。使用磁动势技术和工作在100 mK，我们探讨了非线性行为和模式耦合的第一，第三和第五模式的25.5 μ m长的梁。我们发现我们的结果和一个简单的分析模型，假设谐振器的不同模式耦合到彼此的位移引起的张力在梁之间非常好的协议。我们的谐振器的小尺寸导致相对强的非线性耦合，例如，我们发现对于第一模式中的1 nm位移，第三模式中的偏移约为7 Hz，并且容易观察到类似于线宽（130 Hz）的20倍的频移。
We present results from a study of the nonlinear inter-modal coupling between different flexural vibrational modes of a single high-stress, doubly-clamped silicon nitride nanomechanical beam. Using the magnetomotive technique and working at 100 mK we explored the nonlinear behaviour and modal couplings of the first, third and fifth modes of a 25.5 mu m long beam. We find very good agreement between our results and a simple analytical model which assumes that the different modes of the resonator are coupled to each other by displacement induced tension in the beam. The small size of our resonator leads to relatively strong nonlinear couplings, for example we find a shift of about 7 Hz in the third mode for a 1 nm displacement in the first mode and frequency shifts similar to 20 times larger than the linewidth (130 Hz) are readily observed.