The sympathy of two pendulum clocks: beyond Huygens' observations.
The sympathy of two pendulum clocks: beyond Huygens' observations.
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DOI：
10.1038/srep23580
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发表时间：
2016-03-29
影响因子：
4.6
通讯作者：
Alvarez J
中科院分区：
文献类型：
--
作者：
Peña Ramirez J;Olvera LA;Nijmeijer H;Alvarez J
本文介绍了惠更斯钟摆同步实验的现代版本。这里介绍的版本包括两个巨大的摆钟-特别设计和制造-这是通过一个木制结构耦合。结果表明，耦合钟呈现“共振”运动，即钟的摆在同一方向上作协调振荡。有趣的是，当时钟同步时，共同振荡频率降低，即时钟变得缓慢和不准确。为了严格解释这些发现，耦合时钟的数学模型，通过使用公认的物理和力学定律，同样，进行理论分析。最后，两个巨大的钟摆时钟，通过一个灵活的耦合结构相互作用的同情，实验，数值和分析证明。
This paper introduces a modern version of the classical Huygens’ experiment on synchronization of pendulum clocks. The version presented here consists of two monumental pendulum clocks—ad hoc designed and fabricated—which are coupled through a wooden structure. It is demonstrated that the coupled clocks exhibit ‘sympathetic’ motion, i.e. the pendula of the clocks oscillate in consonance and in the same direction. Interestingly, when the clocks are synchronized, the common oscillation frequency decreases, i.e. the clocks become slow and inaccurate. In order to rigorously explain these findings, a mathematical model for the coupled clocks is obtained by using well-established physical and mechanical laws and likewise, a theoretical analysis is conducted. Ultimately, the sympathy of two monumental pendulum clocks, interacting via a flexible coupling structure, is experimentally, numerically, and analytically demonstrated.