中国科学院力学研究所机构知识库
Advanced  
IMECH-IR  > 流固耦合系统力学重点实验室(2012-)  > 期刊论文
Title:
On the geometric phase in the spatial equilibria of nonlinear rods
Author: Zhong PN(钟培楠); Huang GJ(黄国君); Yang GW(杨国伟)
Source: ACTA MECHANICA SINICA
Issued Date: 2017-04-01
Volume: 33, Issue:2, Pages:457-471
Abstract: 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.
Keyword: Geometric exact rod ; Geometric phase ; Rotation group ; Kirchhoff analogy
Language: 英语
Indexed Type: SCI ; EI
Corresponding Author: Yang, GW (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China. ; Yang, GW (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China.
Correspondent Email: gwyang@imech.ac.cn
DOI: 10.1007/s10409-016-0625-8
DOC Type: Article
WOS Subject: Engineering, Mechanical ; Mechanics
WOS Subject Extended: Engineering ; Mechanics
WOS Keyword Plus: CLASSICAL ADIABATIC ANGLES ; BERRY PHASE ; HOLONOMY ; HANNAY
WOS ID: WOS:000400856200022
ISSN: 0567-7718
Department: LMFS流固耦合与数值计算(LHO)
Classification: 二类
Ranking: 1
Citation statistics:
Content Type: 期刊论文
URI: http://dspace.imech.ac.cn/handle/311007/60544
Appears in Collections:流固耦合系统力学重点实验室(2012-)_期刊论文

Files in This Item: Download All
File Name/ File Size Content Type Version Access License
JouAr-2017-020.pdf(1474KB)期刊论文作者接受稿开放获取View Download

Recommended Citation:
Zhong PN,Huang GJ,Yang GW. On the geometric phase in the spatial equilibria of nonlinear rods[J]. ACTA MECHANICA SINICA,2017-04-01,33(2):457-471.
Service
Recommend this item
Sava as my favorate item
Show this item's statistics
Export Endnote File
Google Scholar
Similar articles in Google Scholar
[钟培楠]'s Articles
[黄国君]'s Articles
[杨国伟]'s Articles
CSDL cross search
Similar articles in CSDL Cross Search
[钟培楠]‘s Articles
[黄国君]‘s Articles
[杨国伟]‘s Articles
Related Copyright Policies
Null
Social Bookmarking
Add to CiteULike Add to Connotea Add to Del.icio.us Add to Digg Add to Reddit
文件名: JouAr-2017-020.pdf
格式: Adobe PDF
所有评论 (0)
暂无评论
 
评注功能仅针对注册用户开放,请您登录
您对该条目有什么异议,请填写以下表单,管理员会尽快联系您。
内 容:
Email:  *
单位:
验证码:   刷新
您在IR的使用过程中有什么好的想法或者建议可以反馈给我们。
标 题:
 *
内 容:
Email:  *
验证码:   刷新

Items in IR are protected by copyright, with all rights reserved, unless otherwise indicated.

 

 

Valid XHTML 1.0!
Copyright © 2007-2018  中国科学院力学研究所 - Feedback
Powered by CSpace