arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.12635math.MG
收藏

然而它在移动:Kinetics中的Paragraphically移动联系

And Yet It Moves: Paradoxically Moving Linkages in Kinematics

Josef Schicho

摘要:

机械连杆机构的位形空间由代数条件定义,它是由受关节约束的空间运动刚体组成的。如果这些方程没有定义一个完整的交集,那么配置空间的维数比预期的要高。这些联系违反了切比雪夫-格吕布勒-库茨巴赫的流动自由度公式。数学家们开发了各种方法来描述和理解这种现象。本文解释了其中的一些。

英文摘要:

The configuration space of a mechanical linkage, consisting of rigid bodies moving in space constrained by joints, is defined by algebraic conditions. If these equations do not define a complete intersection, then the dimension of the configuration space is higher than expected. These linkages violate the Chebychev-Grübler-Kutzbach formula for the degree of freedom of mobility. Mathematicians developed a variety of methods to describe and understand this phenomenon. This paper explains some of them.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑