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Efficient computation of parametric instability regimes in systems with a large number of degrees-of-freedom
- Source :
- IndraStra Global.
- Publication Year :
- 2004
-
Abstract
- An efficient numerical method for examining the stability of linear time varying systems modeled by finite element (FE) methods is presented in this paper. Parametric instability of pipes conveying pulsating fluid flow is studied using multivariable Floquet-Lyapunov theory. In order to solve large size problems, the system matrices are reduced to a smaller size by transforming to modal coordinates using modal vectors. This transformation preserves the stability information and the reduced matrix is used for the evaluation of the monodromy matrix. For dealing with large systems with parametric excitations, it is found that proposed method is numerically efficient. ? 2003 Elsevier B.V. All rights reserved.
- Subjects :
- Applied Mathematics
Numerical analysis
General Engineering
Degrees of freedom (statistics)
Monodromy matrix
Computer Graphics and Computer-Aided Design
Stability (probability)
Finite element method
Matrix (mathematics)
Transformation (function)
Control theory
Applied mathematics
Approximation theory
Computational complexity
Computer simulation
Degrees of freedom (mechanics)
Mathematical models
Parameter estimation
Problem solving
Pipe dynamics
Pulsating flow
Flow of fluids
Analysis
Mathematics
Parametric statistics
Subjects
Details
- Language :
- English
- ISSN :
- 23813652
- Database :
- OpenAIRE
- Journal :
- IndraStra Global
- Accession number :
- edsair.doi.dedup.....f93bdc4fc7ad0460d3d8c23c587e3d4c
- Full Text :
- https://doi.org/10.1016/j.finel.2003.08.003