Efficient computation of parametric instability regimes in systems with a large number of degrees-of-freedom
作者： Jayaraj Kochupillai , N. Ganesan , Chandramouli Padmanabhan
DOI: 10.1016/J.FINEL.2003.08.003
关键词: Parametric statistics 、 Transformation (function) 、 Numerical analysis 、 Applied mathematics 、 Mathematics 、 Stability (probability) 、 Finite element method 、 Control theory 、 Degrees of freedom (statistics) 、 Monodromy matrix 、 Matrix (mathematics)
摘要: 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 pipes conveying pulsating fluid flow studied using multivariable Floquet-Lyapunov theory. In order to solve large size problems, system matrices are reduced a smaller transforming modal coordinates vectors. This transformation preserves information and matrix used evaluation monodromy matrix. For dealing with parametric excitations, it found that proposed numerically efficient.
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