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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 26
ADVANCES IN COMPUTATIONAL MECHANICS
Edited by: M. Papadrakakis and B.H.V. Topping
Paper III.2

On Kinematic Instability Phenomena of Elasto-Plastic Shell Structures

P. Nawrotzki, W.B. Krätzig and U. Montag

Institute for Statics and Dynamics, Ruhr University Bochum, Bochum, Germany

Full Bibliographic Reference for this paper
P. Nawrotzki, W.B. Krätzig, U. Montag, "On Kinematic Instability Phenomena of Elasto-Plastic Shell Structures", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 83-97, 1994. doi:10.4203/ccp.26.3.2
Abstract
The present contribution is concerned with dynamic stability investigations of Structural responses. Special attention is given to a Finite-Rotation shell theory, its numerical Finite-Element implementation involving elasto-plastic material behaviour, and to computational procedures for the tracing of arbitrary response paths. Occurring instability phenomena can be treated with the help of a fundamental stability concept: Lyapunow exponents quantitatively decide upon local stability properties of fundamental responses. For the characterization of kinetic instability phenomena, such as parametric resonances, flutter, dynamic quasi-bifurcations, or kinetic snap-through behaviour, special classes of qualitative techniques for neighbouring orbits are considered.

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