Gröbner bases plugged into graphical skills to solve a set of multiple bifurcation equations in structural compound stability problems

Author:

Tanaka Masato1ORCID,Matsubara Seishiro2,Schröder Jörg3,Fujii Fumio4

Affiliation:

1. Toyota Research Institute of North America Toyota Motor North America Ann Arbor Michigan USA

2. Department of Mechanical and Aerospace Engineering Nagoya University Nagoya Japan

3. Institut für Mechanik, Bauwissenschaften Universität Duisburg‐Essen Essen Germany

4. Gifu University (Emeritus) Gifu Japan

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference32 articles.

1. KoiterW.On the Stability of Elastic Equilibrium. Ph. D thesis. Delft Holland (in Dutch); 1945(English Translation issued as NASA F10: 833 1967).

2. Computational two-mode asymptotic bifurcation theory combined with hyper dual numbers and applied to plate/shell buckling

3. Validating a 2-mode asymptotic expansion in computational bifurcation theory (Before introducing HDN for differential operation)

4. AugustiG.Stabilita di strutture elastiche elementari in presenza di grandi spostamenti Stabilimento tipografico Genovese 1964.

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