Abstract
The Bubnov-Galerkin method is applied to reduce partial differential equations governing the dynamics of flexible plates and shells to a discrete system with finite degrees of freedom. Chaotic behaviour of systems with various degrees of freedom is analysed. It is shown that the attractor dimension of a system has no relationship with the attractor dimension of any of its subsystems.
Original language | English |
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Pages (from-to) | 495-504 |
Number of pages | 10 |
Journal | Archive of Applied Mechanics |
Volume | 73 |
Issue number | 7 |
DOIs | |
Publication status | Published - 1 Dec 2003 |
Externally published | Yes |
Keywords
- Bubnov-Galerkin method
- Chaotic vibration
- Lyapunov exponent
- Poincaré section
- Runge-Kutta method
- Shell
ASJC Scopus subject areas
- Mechanics of Materials
- Computational Mechanics