Classification of higher Mobility closed-loop Linkages
Loughborough University（拉夫堡大学）；Academy of Mathematics and Systems Science, Chinese Academy of Sciences（中国科学院数学与系统科学研究院）；Johannes Kepler University（约翰内斯·开普勒大学）
英文摘要：
We provide a complete classification of paradoxical closed-loop $n$-linkages, where $n\geq6$, of mobility $n-4$ or higher, containing revolute, prismatic or helical joints. We also explicitly write down strong necessary conditions for $nR$-linkages of mobility $n-5$. Our main new tool is a geometric relation between a linkage $L$ and another linkage $L'$ resulting from adding equations to the configuration space of $L$. We then lift known classification results for $L'$ to $L$ using this relation.
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。
