Global bifurcation of a three-hinged rod subject to a kind of follower force

A. Y T Leung; S. Rajendran

doi:10.1016/0045-7949(95)00163-B

Global bifurcation of a three-hinged rod subject to a kind of follower force

A. Y T Leung
, S. Rajendran

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

1 Citation (Scopus)

Abstract

The bifurcation solutions and their stability of a three-hinged rod under spring constraints and a kind of follower force is investigated. The equations for the system are nonlinear and possess Z₂⊕Z₂⊕Z₂ symmetry property. The group theoretic concepts and the symbolic computer software, MATHEMATICA are used for solving the equations. Parametric diagrams are constructed by plotting the curves of codimension-one singularity. These curves partition the parameter space into regions in which the bifurcation diagrams are qualitatively similar. The bifurcation solutions and their stability at typical points in the parametric diagrams are discussed.

Original language	English
Pages (from-to)	513-534
Journal	Computers and Structures
Volume	58
Issue number	3
DOIs	https://doi.org/10.1016/0045-7949(95)00163-B
Publication status	Published - 3 Feb 1996
Externally published	Yes

Access Output

10.1016/0045-7949(95)00163-B

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{36f9d163007e4b71a8ed89f5cc67352d,

title = "Global bifurcation of a three-hinged rod subject to a kind of follower force",

abstract = "The bifurcation solutions and their stability of a three-hinged rod under spring constraints and a kind of follower force is investigated. The equations for the system are nonlinear and possess Z2⊕Z2⊕Z2 symmetry property. The group theoretic concepts and the symbolic computer software, MATHEMATICA are used for solving the equations. Parametric diagrams are constructed by plotting the curves of codimension-one singularity. These curves partition the parameter space into regions in which the bifurcation diagrams are qualitatively similar. The bifurcation solutions and their stability at typical points in the parametric diagrams are discussed.",

author = "Leung, \{A. Y T\} and S. Rajendran",

year = "1996",

month = feb,

day = "3",

doi = "10.1016/0045-7949(95)00163-B",

language = "English",

volume = "58",

pages = "513--534",

journal = "Computers and Structures",

issn = "0045-7949",

publisher = "Elsevier Ltd.",

number = "3",

}

TY - JOUR

T1 - Global bifurcation of a three-hinged rod subject to a kind of follower force

AU - Leung, A. Y T

AU - Rajendran, S.

PY - 1996/2/3

Y1 - 1996/2/3

N2 - The bifurcation solutions and their stability of a three-hinged rod under spring constraints and a kind of follower force is investigated. The equations for the system are nonlinear and possess Z2⊕Z2⊕Z2 symmetry property. The group theoretic concepts and the symbolic computer software, MATHEMATICA are used for solving the equations. Parametric diagrams are constructed by plotting the curves of codimension-one singularity. These curves partition the parameter space into regions in which the bifurcation diagrams are qualitatively similar. The bifurcation solutions and their stability at typical points in the parametric diagrams are discussed.

AB - The bifurcation solutions and their stability of a three-hinged rod under spring constraints and a kind of follower force is investigated. The equations for the system are nonlinear and possess Z2⊕Z2⊕Z2 symmetry property. The group theoretic concepts and the symbolic computer software, MATHEMATICA are used for solving the equations. Parametric diagrams are constructed by plotting the curves of codimension-one singularity. These curves partition the parameter space into regions in which the bifurcation diagrams are qualitatively similar. The bifurcation solutions and their stability at typical points in the parametric diagrams are discussed.

UR - https://www.scopus.com/pages/publications/0030567149

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0030567149&origin=recordpage

U2 - 10.1016/0045-7949(95)00163-B

DO - 10.1016/0045-7949(95)00163-B

M3 - RGC 21 - Publication in refereed journal

SN - 0045-7949

VL - 58

SP - 513

EP - 534

JO - Computers and Structures

JF - Computers and Structures

IS - 3

ER -

Global bifurcation of a three-hinged rod subject to a kind of follower force

Abstract

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this