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Bifurcation and Stability of a Three-Hinged Rod Under a Conservative Load

S. Rajendran
A. Leung
Organization: City University of Hong Kong
A. Starr
J. Chan
Journal / Anthology

International Journal for Numerical Methods in Engineering
Year: 1999
Volume: 44
Page range: 657-696

The bifurcation solutions and their stability of a three-hinged rod under conservative compressive force are investigated. The equations for the system are non-linear, and possess some symmetry properties. The symmetry group concepts are employed to exploit these symmetry properties. The symbolic computer software, Mathematica, is used for the analytical and numerical solutions. The loci of codimension-one singularity are plotted on a two-dimensional control parameter space. These curves partition the parameter space into regions of qualitatively similar bifurcation diagrams. The bifurcation solutions and their stability at typical points in the parameter diagram, and the perturbation of codimension-one singularities are discussed.

*Engineering > Mechanical and Structural Engineering