论文标题
线性约束框架的刚性的改进结合
An improved bound for the rigidity of linearly constrained frameworks
论文作者
论文摘要
我们考虑在$ \ mathbb {r}^d $中表征条形接头框架的通用刚度的问题，其中每个顶点都被限制在给定的仿射子空间中。当$ d = 2 $先前由I. Streinu和L. Theran在2010年解决的特殊情况以及当每个顶点约束以躺在维度$ t $的仿射子空间中，而$ d \ geq t（t-1）$在Cruickshank，Guler，Guler和2019年的前两个作者中求解了该$ n effer ge n effer the segrate $。
We consider the problem of characterising the generic rigidity of bar-joint frameworks in $\mathbb{R}^d$ in which each vertex is constrained to lie in a given affine subspace. The special case when $d=2$ was previously solved by I. Streinu and L. Theran in 2010 and the case when each vertex is constrained to lie in an affine subspace of dimension $t$, and $d\geq t(t-1)$ was solved by Cruickshank, Guler and the first two authors in 2019. We extend the latter result by showing that the given characterisation holds whenever $d\geq 2t$.
