Henneberg moves on mechanisms
Henneberg moves on mechanisms
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亨内伯格继续推进机制
DOI：
10.1007/s13366-014-0217-3
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Herman Servatius
中科院分区：
文献类型：
--
作者：
B. Jackson;T. Jordán;B. Servatius;Herman Servatius
平面上自由度为1的杆-铰机构称为机构。众所周知，0-扩张和1-扩张的操作，即所谓的Henneberg移动，总是可以在框架上执行，从而保持其自由度。第一和第二作者在2012年证实，对于通用位置的机制，可以在不限制其运动的情况下执行这些操作。本文给出一个反例。
A bar-and-joint framework in the plane with degree of freedom 1 is called a mechanism. It is well-known that the operations of 0-extension and 1-extension, the so called Henneberg moves, can always be performed on a framework so that its degree of freedom is preserved. It was conjectured by the first and second author in 2012 that for a mechanism in generic position these operations can be performed without restricting its motion. In this note we provide a counterexample.