Abstract
A procedure to calculate the Lyapunov characteristic exponent of the response of structural continuous systems, discretized using finite element methods, is proposed. The Lyapunov characteristic exponent can be used to characterize the asymptotic stability of the system dynamic response, and it is frequently employed to identify a chaotic behaviour. The proposed procedure can also be used in the stability characterization of fluid-structure interaction systems in which the focus of the analysis is on the behaviour of the structural part.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 145-163 |
| Number of pages | 19 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 56 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 7 2003 |
| Externally published | Yes |
Keywords
- Chaotic behaviour
- Dynamic stability
- Lyapunov characteristic exponent
- Non-linear dynamics
- Stability analysis
ASJC Scopus subject areas
- Numerical Analysis
- General Engineering
- Applied Mathematics