Formulation of a computational asymptotic bifurcation theory applicable to hill-top branching and multiple bifurcation analyses

Author:

TANAKA Masato1,SASAGAWA Takashi1,OMOTE Ryuji1,FUJII Fumio2

Affiliation:

1. Toyota Central R&D Labs., INC.

2. Department of Mechanical Engineering, Gifu University

Publisher

Japan Society of Mechanical Engineers

Reference30 articles.

1. Balzani, D., Gandhi, A., Tanaka, M. and Schröder, J., Numerical calculation of thermo-mechanical problems at large strains based on complex step derivative approximation of tangent stiffness matrices, Computational Mechanics, Vol. 55, No. 5 (2015), pp. 861-871.

2. Bažant, Z. and Cedolin, L., Stability of structures: elastic, inelastic, fracture and damage theories, Oxford University Press (1991).

3. Chilver, A. H., Coupled modes of elastic buckling, Journal of the Mechanics and Physics of Solids, Vol. 15, No. 1 (1967), pp. 15-28.

4. Fike, J. A., Multi-objective optimization using hyper-dual numbers, Stanford University, Thesis (2013).

5. Fujii, F. and Ramm, E., Computational bifurcation theory: path-tracing, pinpointing and path-switching, Engineering Structures, Vol. 19, No. 5 (1997), pp. 385-392.

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