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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 , "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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