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
DOI10.1007/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.
个性服务
查看访问统计
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。


©版权所有 ©2017 CSpace - Powered by CSpace