Sensitivity analysis of the eigenvalue problem for general dynamic systems with application to bridge deck flutter / P. Omenzetter in Journal of engineering mechanics, Vol. 138 N° 6 (Juin 2012)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 138 N° 6 (Juin 2012) . - pp.675-682 Titre : Sensitivity analysis of the eigenvalue problem for general dynamic systems with application to bridge deck flutter Type de document : texte imprimé Auteurs : P. Omenzetter, Auteur Année de publication : 2012 Article en page(s) : pp.675-682 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Aerodynamics Bridges Dynamics Eigenvalue problem, Eigenvalues Flutter Modal analysis Sensitivity Résumé : The mathematical models governing the dynamics of various engineering systems, such as airplane wings and bridge decks subjected to aerodynamic forces, mechanical and civil structures interacting with fluid or soil, or systems with time delays, yield transcendental eigenvalue problems. In this work, a general transcendental eigenvalue problem is first formulated and a biorthogonality relationship between eigenvectors is derived. Then, the sensitivities of eigenvalues and eigenvectors with respect to a system parameter are obtained. The method is employed to analyze in detail a transcendental eigenvalue problem arising in the analysis of a bridge deck subjected to aerodynamic forces. The sensitivities of eigenvalues and eigenvectors are successfully used to improve the performance of an iterative method used for solving the eigenvalue problem. ISSN : 0773--399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000377 [article] Sensitivity analysis of the eigenvalue problem for general dynamic systems with application to bridge deck flutter [texte imprimé] / P. Omenzetter, Auteur . - 2012 . - pp.675-682. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 138 N° 6 (Juin 2012) . - pp.675-682 Mots-clés : Aerodynamics Bridges Dynamics Eigenvalue problem, Eigenvalues Flutter Modal analysis Sensitivity Résumé : The mathematical models governing the dynamics of various engineering systems, such as airplane wings and bridge decks subjected to aerodynamic forces, mechanical and civil structures interacting with fluid or soil, or systems with time delays, yield transcendental eigenvalue problems. In this work, a general transcendental eigenvalue problem is first formulated and a biorthogonality relationship between eigenvectors is derived. Then, the sensitivities of eigenvalues and eigenvectors with respect to a system parameter are obtained. The method is employed to analyze in detail a transcendental eigenvalue problem arising in the analysis of a bridge deck subjected to aerodynamic forces. The sensitivities of eigenvalues and eigenvectors are successfully used to improve the performance of an iterative method used for solving the eigenvalue problem. ISSN : 0773--399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000377

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