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The `Indian rope trick' via parametric excitation

机译:通过参数激励进行“印第安绳索戏法”

摘要

A seemingly paradoxical experiment is described whereby a length of wire is stabilised upside down by vertical periodic oscillation of its support. The quantitative details of the experiment reveal an upper and lower bound on the excitation frequency for stability. The results of recent theories are presented that explains the details of what is observed. It relies on a new phenomenon of so-called resonance tongue interaction. The result is verified via asymptotic calculation based on a onedimensional rod model and numerical results on a spatially discretised system of links. This novel gravity defying effect has potential application to the stabilization of other spatially extended systems via parametric excitation.
机译:描述了一个看似自相矛盾的实验,其中通过支撑线的垂直周期性振动使一段线的上下颠倒稳定。实验的定量细节揭示了激发频率的稳定性的上限和下限。提出了最新理论的结果,这些结果解释了所观察到的细节。它依赖于所谓的共鸣舌头相互作用的新现象。通过基于一维杆模型的渐近计算和在空间离散链节上的数值结果,验证了结果。这种新颖的重力反抗效应具有潜在的应用潜力,可通过参数激励来稳定其他空间扩展的系统。

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