Computation of multiple bifurcation point
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Publication:5190522
DOI10.1108/02644400610671135zbMath1182.74056OpenAlexW2068391831MaRDI QIDQ5190522
M. Rezaiee-Pajand H. R. Vejdani-Noghreiyan
Publication date: 18 March 2010
Published in: Engineering Computations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/02644400610671135
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15)
Related Items (4)
Multiple bifurcation paths visualized by a computational asymptotic stability theory ⋮ Global stability-based design optimization of truss structures using multiple objectives ⋮ Hill-top branching: its asymptotically expanded and visually solved bifurcation equations ⋮ Generalised path-following for well-behaved nonlinear structures
Cites Work
- Bifurcation analysis of symmetric structures using block-diagonalization
- Sensitivity analysis of all eigenvalues of a symmetric matrix
- A critical displacement approach for predicting structural instability
- A quadratically convergent algorithm for the computation of stability points: the application of the determinant of the tangent stiffness matrix.
- A simple approach to bifurcation and limit point calculations
- A general procedure for the direct computation of turning and bifurcation points
- A fast incremental/iterative solution procedure that handles “snap-through”
- Eigenvector-free indicator, pinpointing and branch-switching for bifurcation
- Work‐increment‐control method for non‐linear analysis
- Modified stiffness iteration to pinpoint multiple bifurcation points.
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