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Feedback control in ancient water and mechanical clocks

机译:古代水钟和机械钟的反馈控制

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摘要

Attention is focused on Ktesibios' water clock and the outstanding mechanical clocks based on the crown wheel escapement that first appeared in Europe at the end of the thirteenth century. Specifially, block diagrams and the related equations are derived for both the Ktesibios and the verge and foliot clock. The essential role of feedback for controlling the speed of such devices is pointed out. In particular, each mechanical clock discussed can be regarded as a sampled-feedback control system. This explains why the average angular velocity of the wheel would be constant even in the absence of friction. The operation of the verge and foliot clock is compared to that of the pendulum clock built by Ch. Huygens in the seventeenth century.
机译:人们将注意力集中在Ktesibios的水钟和基于冠轮擒纵装置的杰出机械钟表上,该钟表最早于13世纪末在欧洲出现。具体而言,为Ktesibios以及边缘和叶面时钟导出了框图和相关方程式。指出了反馈对于控制此类设备速度的基本作用。特别地,所讨论的每个机械时钟都可以被视为采样反馈控制系统。这解释了为什么即使没有摩擦力车轮的平均角速度也将保持恒定。将边缘和副翼时钟的操作与Ch。惠更斯在十七世纪。

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