Physical Sciences and Engineering Division, King Abdullah University of Science and Technology Thuwal 23955-6900, Saudi Arabia.
Department of Mechanical Engineering, State University of New York at Binghamton, Binghamton, NY 13902, USA.
Sci Rep. 2016 Oct 4;6:34717. doi: 10.1038/srep34717.
Understanding the various mechanisms of nonlinear mode coupling in micro and nano resonators has become an imminent necessity for their successful implementation in practical applications. However, consistent, repeatable, and flexible experimental procedures to produce nonlinear mode coupling are lacking, and hence research into well-controlled experimental conditions is crucial. Here, we demonstrate well-controlled and repeatable experiments to study nonlinear mode coupling among micro and nano beam resonators. Such experimental approach can be applied to other micro and nano structures to help study their nonlinear interactions and exploit them for higher sensitive and less noisy responses. Using electrothermal tuning and electrostatic excitation, we demonstrate three different kinds of nonlinear interactions among the first and third bending modes of vibrations of slightly curved beams (arches): two-one internal resonance, three-one internal resonance, and mode veering (near crossing). The experimental procedure is repeatable, highly flexible, do not require special or precise fabrication, and is conducted in air and at room temperature. This approach can be applied to other micro and nano structures, which come naturally curved due to fabrication imperfections, such as CNTs, and hence lays the foundation to deeply investigate the nonlinear mode coupling in these structures in a consistent way.
理解微纳谐振器中非线性模式耦合的各种机制对于它们在实际应用中的成功实现变得至关重要。然而，缺乏一致的、可重复的、灵活的实验方法来产生非线性模式耦合，因此研究可控的实验条件至关重要。在这里，我们展示了用于研究微纳梁谐振器中非线性模式耦合的可控和可重复的实验。这种实验方法可以应用于其他微纳结构，以帮助研究它们的非线性相互作用，并利用它们获得更高灵敏度和更低噪声的响应。我们使用电热调谐和静电激励，演示了略微弯曲梁（拱）的第一和第三弯曲振动模式之间的三种不同类型的非线性相互作用：两自由度内共振、三自由度内共振和模态转向（近交叉）。实验过程具有可重复性、高度灵活性，不需要特殊或精确的制造，并且在空气和室温下进行。这种方法可以应用于其他由于制造缺陷而自然弯曲的微纳结构，例如 CNT，从而为以一致的方式深入研究这些结构中的非线性模式耦合奠定了基础。
