Modified stiffness iteration to pinpoint multiple bifurcation points.

DOI10.1016/S0045-7825(00)00249-8zbMath1050.74022MaRDI QIDQ5931213

Hirohisa Noguchi, Shigenobu Okazawa, Kiyohiro Ikeda, Fumio Fujii

Publication date: 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

multiple zero eigenvaluesstiffness amplification methodtangent stiffness matrix

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60)

Related Items (10)

The buckling mode extracted from the LDLT-decomposed large-order stiffness matrix ⋮ Gröbner bases plugged into graphical skills to solve a set of multiple bifurcation equations in structural compound stability problems ⋮ Multiple bifurcation paths visualized by a computational asymptotic stability theory ⋮ Design sensitivity analysis and optimization for nonlinear buckling of finite-dimensional elastic conservative structures ⋮ Computation of multiple bifurcation point ⋮ Eigenvector-free indicator, pinpointing and branch-switching for bifurcation ⋮ Computational two-mode asymptotic bifurcation theory combined with hyper dual numbers and applied to plate/shell buckling ⋮ Hill-top branching: its asymptotically expanded and visually solved bifurcation equations ⋮ Generalised path-following for well-behaved nonlinear structures ⋮ Improvement of the scaled corrector method for bifurcation analysis using symmetry-exploiting block-diagonalization

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