Dynamic instability analysis of elastic and inelastic shells

The present contribution is concerned with dynamic stability investigations of arbitrary structural responses, in particular shell responses. In order to trace such nonlinear fundamental processes, incremental/iterative path-following algorithms are employed to the tangential equation of motion whic...

Full description

Saved in:
Bibliographic Details
Published in:Computational mechanics 1998-02, Vol.21 (1), p.48-59
Main Authors: NAWROTZKI, P, KRÄTZIG, W. B, MONTAG, U
Format: Article
Language:English
Subjects:
Algorithms
Dynamic stability
Elastic analysis
Equations of motion
Exact sciences and technology
Exponents
Fundamental areas of phenomenology (including applications)
Iterative methods
Physics
Rotating matter
Shell stability
Solid mechanics
Solution space
Stability analysis
Structural and continuum mechanics
Structural stability
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The present contribution is concerned with dynamic stability investigations of arbitrary structural responses, in particular shell responses. In order to trace such nonlinear fundamental processes, incremental/iterative path-following algorithms are employed to the tangential equation of motion which is derived under special regard of finite rotation shell theories, elasto-plastic material behaviour, and motion-dependent loading. Occuring instabilities can be detected with the help of Lyapunow exponents as generalized concept for the detection of quantitative stability properties. Well known investigation procedures are recognized as special cases of the Lyapunow-exponent-concept for stationary, transient, periodic, and arbitrary solution curves in the phase space. A new numerical procedure for the determination of one-dimensional Lyapunow exponents is introduced to identify critical directions in the solution space for large discretized structures by reduction to relevant manifolds.
ISSN:0178-7675
1432-0924
DOI:10.1007/s004660050282