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Calcul des Valeurs Propres Pour des Structures Lineaires par la Methode de Kuhn

  • M. C. Delfour
  • G. Peyre
  • P. Rideau
Conference paper
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 83)

Summary

We present two algorithms to compute the eigenvalues of a clam of closed loop linear hyperbolic contrai systems describing the vibrations of a linear structure made up of interconnected beams. They are based on an extension to analytic functions of the H. Kuhn’s method ta find the zeros of polynomials. These algorithms are very selective and accurate even for eigenvalues of large moduli. In fact this method is particularily well suited for asymptetic studies of the spectrum. Equivalent results by a finite element method vould require an extremely fine finite element approximation which vould result in unusually large matrices and unmanageable computations.

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Copyright information

© Springer Science+Business Media Dordrecht 1986

Authors and Affiliations

  • M. C. Delfour
    • 1
  • G. Peyre
    • 2
  • P. Rideau
    • 3
  1. 1.Centre de recherches mathématiques et département de Mathématiques et StatistiqueUniversité de MontréalCanada
  2. 2.Département de Génie MécaniqueUniversité de SherbrookeSherbrookeCanada
  3. 3.100 Boul. du MidiAéroespatiale CannesCannes La Bocca CédesFrance

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