当前位置: X-MOL 学术arXiv.cs.SC › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Hexapods with a small linear span
arXiv - CS - Symbolic Computation Pub Date : 2020-12-09 , DOI: arxiv-2012.05120
Hans-Christian Graf von Bothmer, Matteo Gallet, Josef Schicho

The understanding of mobile hexapods, i.e., parallel manipulators with six legs, is one of the driving questions in theoretical kinematics. We aim at contributing to this understanding by employing techniques from algebraic geometry. The set of configurations of a mobile hexapod with one degree of freedom has the structure of a projective curve, which hence has a degree and an embedding dimension. Our main result is a classification of configuration curves of hexapods that satisfy some restrictions on their embedding dimension.

中文翻译:

线性跨度较小的六足动物

对运动六足动物(即具有六个腿的并联操纵器)的理解是理论运动学中的驱动问题之一。我们旨在通过采用代数几何技术来促进这种理解。具有一个自由度的可移动六脚架的结构组具有投影曲线的结构,因此具有一定程度和嵌入尺寸。我们的主要结果是对六足动物的配置曲线进行了分类,这些曲线满足其嵌入尺寸的某些限制。
更新日期:2020-12-10
down
wechat
bug