Rotations of 4np Research and no Twisted Mechanism Example Analysis Based on the Theory of Braid Group

摘要

The cable or pipe between the two relatively rotating platforms exists the twisted problem. From viewpoint of braid group theory, rope's twisted state is researched on. Based on the characteristics of a special Garside braids Δ_n and Δ_n~k, the equivalence of two rotation modes is revealed. Also, that the determination of rotation mode's minimum rotate range is 4p while using braid theory is proposed. The theory of braid group can not only be used as a criterion for determine whether the cable is twisted, finally, but also can be used as avoid cable twisted during mechanism design.