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.
Ces travaux ont été subventionnés en partie par le contrat OSTBS-00166 du Minisiére des Communications et la subvention A-B730 du Conseil de Recherche en Sciences Naturelles et Génie du Canada.
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© 1986 Springer Science+Business Media Dordrecht
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Delfour, M.C., Peyre, G., Rideau, P. (1986). Calcul des Valeurs Propres Pour des Structures Lineaires par la Methode de Kuhn. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007552
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DOI: https://doi.org/10.1007/BFb0007552
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