Knot Types, Homotopies and Stability of Closed Elastic Rods
Knot Types, Homotopies and Stability of Closed Elastic Rods
复制标题
闭合弹性杆的结类型、同伦性和稳定性
DOI：
10.1112/s0024611599011983
复制
发表时间：
1999
影响因子：
1.8
通讯作者：
D. Singer
中科院分区：
文献类型：
--
作者：
T. Ivey;D. Singer
与均匀、各向同性、线性弹性杆相关的能量最小化问题导致杆中心线的几何变分问题，其解包括封闭的、打结的曲线。给出了闭解空间和拟周期解空间的完整描述。
The energy minimization problem associated to uniform, isotropic, linearly elastic rods leads to a geometric variational problem for the rod centreline, whose solutions include closed, knotted curves. We give a complete description of the space of closed and quasiperiodic solutions.