On the geometric phase in the spatial equilibria of nonlinear rods | |
Zhong PN(钟培楠); Huang GJ(黄国君); Yang GW(杨国伟) | |
刊名 | ACTA MECHANICA SINICA |
2017-04-01 | |
卷号 | 33期号:2页码:457-471 |
关键词 | Geometric Exact Rod Geometric Phase Rotation Group Kirchhoff Analogy |
ISSN号 | 0567-7718 |
DOI | 10.1007/s10409-016-0625-8 |
文献子类 | Article |
英文摘要 | Geometric phases have natural manifestations in large deformations of geometrically exact rods. The primary concerns of this article are the physical implications and observable consequences of geometric phases arising from the deformed patterns exhibited by a rod subjected to end moments. This mechanical problem is classical and has a long tradition dating back to Kirchhoff. However the perspective from geometric phases seems to go more deeply into relations between local strain states and global geometry of shapes and infuses genuinely new insights and better understanding which enable one to describe this kind of deformation in a neat and elegant way. On the other hand visual representations of these deformations provide beautiful illustrations of geometric phases and render the meaning of the abstract concept of holonomy more direct and transparent. |
分类号 | 二类 |
WOS关键词 | Classical Adiabatic Angles ; Berry Phase ; Holonomy ; Hannay |
WOS研究方向 | Engineering ; Mechanics |
语种 | 英语 |
CSCD记录号 | CSCD:5981511 |
WOS记录号 | WOS:000400856200022 |
内容类型 | 期刊论文 |
源URL | [http://dspace.imech.ac.cn/handle/311007/60544] |
专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
通讯作者 | Yang GW(杨国伟) |
推荐引用方式 GB/T 7714 | Zhong PN,Huang GJ,Yang GW. On the geometric phase in the spatial equilibria of nonlinear rods[J]. ACTA MECHANICA SINICA,2017,33(2):457-471. |
APA | Zhong PN,Huang GJ,&Yang GW.(2017).On the geometric phase in the spatial equilibria of nonlinear rods.ACTA MECHANICA SINICA,33(2),457-471. |
MLA | Zhong PN,et al."On the geometric phase in the spatial equilibria of nonlinear rods".ACTA MECHANICA SINICA 33.2(2017):457-471. |
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