Validating a 2-mode asymptotic expansion in computational bifurcation theory (Before introducing HDN for differential operation)
Author:
Affiliation:
1. Department of Mechanical Engineering, Gifu University
2. Department of Civil Engineering, Tohoku University
3. Toyota Central R&D Labs., Inc.
4. Department of Mechanical Systems Engineering, University of the Ryukyus
Publisher
Japan Society of Mechanical Engineers
Link
https://www.jstage.jst.go.jp/article/transjsme/81/830/81_15-00419/_pdf
Reference21 articles.
1. Balzani, D., Gandhi, A., Tanaka, M. and Schröder, J., Numerical calculation of thermo-mechanical problems at large strains based on a robust approximation scheme for tangent stiffness matrices, Computational Mechanics. Vol. 55, Issue 5(2015), pp.861-871.
2. Bazant, Z. P. and Cedolin, L., Stability of Structures (1991), Oxford.
3. Chilver, A. H., Coupled modes of elastic buckling, Journal of the Mechanics and Physics of Solids, Vol.15 (1967), pp.15-28.
4. El Naschie, M. S., Stress, Stability, and Chaos in Structural Engineering - An Energy Approach (1991), McGraw-Hill.
5. Fujii, F., Ohsaki, M. and Ikeda, K., Mechanics of Bifurcation of Structures and Solids (2005), Corona Publishing Co., Ltd., (in Japanese).
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