Expansion par minimisation du résidu dynamique
Résolution et utilisation pour la localisation d’erreur
Keywords:
Modal, Measurements, Expansion, Iterative, Residual, LocalizationAbstract
Minimum Dynamic Residual Expansion (MDRE) seeks to estimate the response of test modeshapes at all degrees of freedom (DOFs) of a model by minimizing the weighted sum of a modeling error and a test error. The present paper introduces an iterative method allowing the exact resolution of MDRE for large industrial problems. The ability of the dynamic residuals to localize errors is then evaluated for simulated tests with known modifications. Evaluations are shown for a 16,840 DOFs model of a Renault engine cover.
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References
[BAL 95] BALMÈS E., CHAPELIER C., LUBRINA P., FARGETTE P., « An evaluation of modal
testing results based on the force appropriation method », IMAC, 1995, p. 47-53.
[BAL 00] BALMÈS E., « Review and Evaluation of Shape Expansion Methods », IMAC, 2000,
p. 555-561.
[BAL 01] BALMÈS E., Structural Dynamics Toolbox 4.1 (for use with MATLAB),
http ://www.sdtools.com, February 2001.
[BOB 02] BOBILLOT A., Méthodes de réduction pour le Recalage. Application au cas
d’Ariane 5, Thèse de l’Ecole Centrale Paris, 2002.
[CHO 97] CHOUAKI A., Recalage de Modèles Dynamiques de Structures avec Amortissement,
Doctoral dissertation LMT/ENS Cachan, 1997.
[CHO 98] CHOUAKI A., LADEVÈZE P., PROSLIER L., « Updating Structural Dynamic Models
with Emphasis on the Damping Properties », AIAA Journal, vol. 36, no 6, 1998,
p. 1094-1099.
[GUI 98] GUILLAUME P., VERBOVEN P., VANLANDUIT S., « Frequency Domain Maximum
Likelyhood Estimation of Modal Parameters with Confidence Intervals », International
Seminar on Modal Analysis, Leuven, September, 1998.
[GUY 65] GUYAN R., « Reduction of Mass and Stiffness Matrices », AIAA Journal, vol. 3,
, page 380.
[KAM 87] KAMMER D., « Test-Analysis Model Development Using an Exact Modal Reduction
», International Journal of Analytical and Experimental Modal Analysis, 1987, p. 174-
[KAM 91] KAMMER D., « A Hybrid Approach to Test-Analysis Model Development for
Large Space Structures », Journal of Vibration and Acoustics, vol. 113, no 3, 1991, p. 325-
[KID 73] KIDDER R., « Reduction of Structural Frequency Equations », AIAA Journal,
vol. 11, no 6, 1973.
[O’C 89] O’CALLAHAN J., AVITABILE P., RIEMER R., « System Equivalent Reduction Expansion
Process (SEREP) », IMAC VII, 1989, p. 29-37.
[ROY 93] ROY N., GIRARD A., BUGEAT L.-P., « Expansion of Experimental Modeshapes -
An Improvement of the Projection Technique », IMAC, 1993, p. 152-158.
