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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); 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.
2017-04-01
发表期刊ACTA MECHANICA SINICA
卷号33期号:2页码:457-471
ISSN0567-7718
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.
关键词Geometric Exact Rod Geometric Phase Rotation Group Kirchhoff Analogy
DOI10.1007/s10409-016-0625-8
收录类别SCI ; EI
语种英语
WOS记录号WOS:000400856200022
关键词[WOS]CLASSICAL ADIABATIC ANGLES ; BERRY PHASE ; HOLONOMY ; HANNAY
WOS研究方向Engineering ; Mechanics
WOS类目Engineering, Mechanical ; Mechanics
课题组名称LMFS流固耦合与数值计算(LHO)
论文分区二类
力学所作者排名1
引用统计
文献类型期刊论文
条目标识符http://dspace.imech.ac.cn/handle/311007/60544
专题流固耦合系统力学重点实验室
通讯作者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.
推荐引用方式
GB/T 7714
Zhong PN,Huang GJ,Yang GW,et al. On the geometric phase in the spatial equilibria of nonlinear rods[J]. ACTA MECHANICA SINICA,2017,33(2):457-471.
APA 钟培楠,黄国君,杨国伟,Yang, GW ,&Yang, GW .(2017).On the geometric phase in the spatial equilibria of nonlinear rods.ACTA MECHANICA SINICA,33(2),457-471.
MLA 钟培楠,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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