Access to bifurcated and isolated equilibrium branches of structures
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.
Fields of Study & Subjects
Dynamics and Control of Mechanical Systems
Advanced Differential Equations and Dynamical Systems
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Publication details
- Journal / source
- Computational Mechanics Volume 1
- Publisher
- CRC Press
- Pages
- 463–468
- Publication date
- 10 February 2026
- Language
- EN
- Document type
- Book chapter