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 |
|---|---|
| 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 |
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Keywords
- Bubnov-Galerkin method
- Chaotic vibration
- Lyapunov exponent
- Poincaré section
- Runge-Kutta method
- Shell
ASJC Scopus subject areas
- Mechanics of Materials
- Computational Mechanics
Cite this
Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach. / Awrejcewicz, J.; Krys'ko, A. V.
In: Archive of Applied Mechanics, Vol. 73, No. 7, 01.12.2003, p. 495-504.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach
AU - Awrejcewicz, J.
AU - Krys'ko, A. V.
PY - 2003/12/1
Y1 - 2003/12/1
N2 - 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.
AB - 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.
KW - Bubnov-Galerkin method
KW - Chaotic vibration
KW - Lyapunov exponent
KW - Poincaré section
KW - Runge-Kutta method
KW - Shell
UR - http://www.scopus.com/inward/record.url?scp=0346972521&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0346972521&partnerID=8YFLogxK
U2 - 10.1007/s00419-003-0303-8
DO - 10.1007/s00419-003-0303-8
M3 - Article
VL - 73
SP - 495
EP - 504
JO - Archive of Applied Mechanics
JF - Archive of Applied Mechanics
SN - 0939-1533
IS - 7
ER -