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Bifurcation indicators

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Summary

In this paper we propose bifurcation indicators for linear or nonlinear eigenvalue problems. These indicators are the determinants of a reduced stiffness matrix. They measure the intensity of the response of the system to perturbation forces. The numerical computation of the indicators is done by a direct method and by an Asymptotic Numerical Method.

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Author notes

  1. M. Jamal, H. Elasmar, B. Braikat & N. Damil

    Present address: Laboratoire de Calcul Scientifique en Mécanique, Université Hassan II, Faculté des Sciences Ben M'sik, B.P. 7955 Sidi Othman, Casablanca, Maroc

  2. E. Boutyour, B. Cochelin & M. Potier-Ferry

    Present address: Laboratoire de Physique et Mécanique des Matériaux, UMR CNRS no 7554 Université de Meth, ISGMP, Ile du Saulcy, 57045, Metz Cedex 01, France

Authors and Affiliations

  1. Laboratoire de Mécanique et d'Acoustique, UPR CNRS no 7051 Ecole Supérieure de Mécanique de Marseille, ESM2, Technopole de Chateau-Gombert, 13451, Marseille, France

    B. Cochelin

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  1. M. Jamal
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  2. H. Elasmar
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  3. B. Braikat
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  4. E. Boutyour
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  5. B. Cochelin
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  6. N. Damil
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  7. M. Potier-Ferry
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Jamal, M., Elasmar, H., Braikat, B. et al. Bifurcation indicators. Acta Mechanica 139, 129–142 (2000). https://doi.org/10.1007/BF01170186

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  • DOI: https://doi.org/10.1007/BF01170186

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