Header menu link for other important links
Efficient computation of parametric instability regimes in systems with a large number of degrees-of-freedom
Natrajan Ganesan,
Published in
Volume: 40
Issue: 9-10
Pages: 1123 - 1138
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.
About the journal
JournalFinite Elements in Analysis and Design
Open AccessNo
Concepts (10)
  •  related image
    Approximation theory
  •  related image
    Computational complexity
  •  related image
    Computer simulation
  •  related image
    Degrees of freedom (mechanics)
  •  related image
    Mathematical models
  •  related image
    Parameter estimation
  •  related image
    Problem solving
  •  related image
  •  related image
    Pulsating flow
  •  related image
    Flow of fluids