IMECH-IR  > 流固耦合系统力学重点实验室
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)
Source PublicationACTA MECHANICA SINICA
2017-04-01
Volume33Issue:2Pages:457-471
ISSN0567-7718
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.

KeywordGeometric Exact Rod Geometric Phase Rotation Group Kirchhoff Analogy
DOI10.1007/s10409-016-0625-8
Indexed BySCI ; EI ; CSCD
Language英语
WOS IDWOS:000400856200022
WOS KeywordClassical Adiabatic Angles ; Berry Phase ; Holonomy ; Hannay
WOS Research AreaEngineering ; Mechanics
WOS SubjectEngineering, Mechanical ; Mechanics
CSCD IDCSCD:5981511
DepartmentLMFS流固耦合与数值计算(LHO)
Classification二类
Ranking1
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/60544
Collection流固耦合系统力学重点实验室
Corresponding AuthorYang GW(杨国伟)
Recommended Citation
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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