周期结构摆中赝声子隙的出现
Emergence of Pseudo-Phononic Gaps in Periodically Architected Pendulums
摘要：
拒绝未减轻的振动干扰是一个持续的困境，在复杂的连杆系统。在这项工作中，我们提出了一个固有的和自力更生的振动隔离机制，在建筑周期链的串联枢转的阻尼器。吸收外部激发是通过布拉格型带隙，这源于涌现链动力学。声子晶体的自重复单元由于其耦合动力学性质而具有重要的意义，并且很难通过观察从周期性排列中识别出来。因此，这项工作需要从有限链的运动方程中提取等效PC晶格的“伪”晶胞，这与传统的波色散方法不同。本文提出的模型包括一个链接的惯性/几何特性的周期性变化，在一端携带有效载荷链。我们最终证明了禁止波传播在规定的频率制度，让人想起PC晶格中的带隙的证据。所提出的框架可以是非常宝贵的应用程序，需要减少振动的有效载荷，包括龙门起重机，机器人手臂和空间系绳的交付。
英文摘要：
Rejection of unmitigated vibrational disturbances represents an ongoing dilemma in complex linkage systems. In this work, we present an inherent and self-reliant vibration isolation mechanism in architected periodic chains of serially pivoted pendulums. Absorption of external excitations is achieved by virtue of Bragg-type band gaps which stem from the emergent chain dynamics. Owing to its coupled dynamics, the self-repeating cell of a Phononic Crystal (PC) is not trivial and cannot be readily identified from the periodic arrangement by inspection. As such, this work entails the extraction of a "pseudo" unit cell of an equivalent PC lattice from the derived motion equations of a finite chain, which departs from traditional wave dispersion methods. The model presented herein comprises a chain of linked pendulums with periodic variations of inertial/geometrical properties, carrying a payload at one end. We ultimately show evidence of forbidden wave propagation in prescribed frequency regimes, reminiscent of band gaps in PC lattices. The presented framework can be invaluable in applications that require vibration reduction in the delivery of payloads including gantry cranes, robotic arms and space tethers.
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