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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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