Access to bifurcated and isolated equilibrium branches of structures

To gain access to bifurcated and isolated equilibrium branches of elastic nonlinear structures, a particular curve is introduced on a fixed- loading plane such that the intersections between the introduced constraint plane and the equilibrium path are all on this particular curve. A line search in tangent direction of the curve or tracing of the curve will be executed to attain post-critical and isolated branches of the equilibrium. Bifurcation of a simple truss and isolated solution branches of an elastica are computed.

Authors

Publication Details

Published
2026-02-10
DOI
https://doi.org/10.1201/9781003760870-74
Citations
1
Primary Topic
Dynamics and Control of Mechanical Systems
Type
article
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article

Access to bifurcated and isolated equilibrium branches of structures

Kok Keong Choong, F. Fujii, Takeaki KITAGAWA
1 citations
Dynamics and Control of Mechanical Systems
article

Access to bifurcated and isolated equilibrium branches of structures

Kok Keong Choong, F. Fujii, Takeaki KITAGAWA
article en
1 citations

Abstract

To gain access to bifurcated and isolated equilibrium branches of elastic nonlinear structures, a particular curve is introduced on a fixed- loading plane such that the intersections between the introduced constraint plane and the equilibrium path are all on this particular curve. A line search in tangent direction of the curve or tracing of the curve will be executed to attain post-critical and isolated branches of the equilibrium. Bifurcation of a simple truss and isolated solution branches of an elastica are computed.

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Dynamics and Control of Mechanical Systems
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Access to bifurcated and isolated equilibrium branches of structures — Kok Keong Choong, F. Fujii, et al. · (2026) | TGRS Research Map | TGRS