General realization algorithm for modal identification of linear dynamic systems / R. A. De Callafon in Journal of engineering mechanics, Vol. 134 n°9 (Septembre 2008)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 134 n°9 (Septembre 2008) . - pp.496–505. Titre : General realization algorithm for modal identification of linear dynamic systems Type de document : texte imprimé Auteurs : R. A. De Callafon, Auteur ; Randy C. West, Auteur Année de publication : 2008 Article en page(s) : pp.496–505. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Modal analysis Linear systems Earthquakes Algorithms Dynamic loads Résumé : The general realization algorithm (GRA) is developed to identify modal parameters of linear multi-degree-of-freedom dynamic systems subjected to measured (known) arbitrary dynamic loading from known initial conditions. The GRA extends the well known eigensystem realization algorithm (ERA) based on Hankel matrix decomposition by allowing an arbitrary input signal in the realization algorithm. This generalization is obtained by performing a weighted Hankel matrix decomposition, where the weighting is determined by the loading. The state-space matrices are identified in a two-step procedure that includes a state reconstruction followed by a least-squares optimization to get the minimum prediction error for the response. The statistical properties (i.e., bias, variance, and robustness to added output noise introduced to model measurement noise and modeling errors) of the modal parameter estimators provided by the GRA are investigated through numerical simulation based on a benchmark problem with nonclassical damping. ISSN : 0733-9399 En ligne : Modal analysis, Linear systems, Earthquakes, Algorithms, Dynamic loads Read More [...] [article] General realization algorithm for modal identification of linear dynamic systems [texte imprimé] / R. A. De Callafon, Auteur ; Randy C. West, Auteur . - 2008 . - pp.496–505. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 134 n°9 (Septembre 2008) . - pp.496–505. Mots-clés : Modal analysis Linear systems Earthquakes Algorithms Dynamic loads Résumé : The general realization algorithm (GRA) is developed to identify modal parameters of linear multi-degree-of-freedom dynamic systems subjected to measured (known) arbitrary dynamic loading from known initial conditions. The GRA extends the well known eigensystem realization algorithm (ERA) based on Hankel matrix decomposition by allowing an arbitrary input signal in the realization algorithm. This generalization is obtained by performing a weighted Hankel matrix decomposition, where the weighting is determined by the loading. The state-space matrices are identified in a two-step procedure that includes a state reconstruction followed by a least-squares optimization to get the minimum prediction error for the response. The statistical properties (i.e., bias, variance, and robustness to added output noise introduced to model measurement noise and modeling errors) of the modal parameter estimators provided by the GRA are investigated through numerical simulation based on a benchmark problem with nonclassical damping. ISSN : 0733-9399 En ligne : Modal analysis, Linear systems, Earthquakes, Algorithms, Dynamic loads Read More [...]

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