Imperfect Bifurcation in Structures and Materials [electronic resource] : Engineering Use of Group-Theoretic Bifurcation Theory / by Kiyohiro Ikeda, Kazuo Murota.
Record details
- ISBN: 9781441972965
- Physical Description: XX, 520 p. online resource.
- Publisher: New York, NY : Springer New York, 2010.
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Subject: | Mathematics. Differentiable dynamical systems. Mechanical engineering. Mathematics. Dynamical Systems and Ergodic Theory. Structural Mechanics. |
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Electronic resources
Overview of book | ||
Imperfect behavior at simple critical points: Critical points and local behavior ; Imperfection sensitivity laws ; Worst imperfection (I) ; Random imperfection (I) ; Experimentally observed bifurcation diagrams | ||
Imperfect bifurcation of symmetric systems: Group-theoretic bifurcation theory ; Bifurcation behavior of Dn-equivariant systems ; Worst imperfection (II) ; Random imperfection (II) ; Description and computation of bifurcation behaviors ; Efficient transformation for block-diagonalization | ||
Modeling of bifurcation phenomena: Bifurcation of cylindrical sand specimens ; Echelon-mode formation ; Bifurcation of steel specimens ; Flower patterns of honeycomb structures. |