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Analytical models are often used to analyse behaviour of structures, particularly in the field of structural dynamics. The application of such models demands that they must predict the effects of structural modifications with a reasonable accuracy. Unfortunately, lacks of correlation between initial analytical predictions and experimental results are usually observed so that the analytical model needs to be updated with respect to an experimental reference. Many updating methods, involving two main categories of techniques, have been developed in recent years. In the first group of methods, the model to be adjusted is modified by means of correcting parameters associated with the regions containing dominant errors in modelling. The techniques require a localization of modelling errors and are essentially iterative. The second category involves one-step algorithms to globally correct the model in terms of its representative mass and stiffness matrices. These methods have come to be called direct or global methods. Each class of methods presents advantages and disadvantages. The main disadvantage of the iterative methods is the errors localization phase that may require an extensive amount of computational efforts. In addition, the convergence is not ensured for all iterative algorithms. The present paper deals with a direct approach to correct the whole mass and stiffness matrices of a derived finite element model. A modal analysis and a quantitative study of matrix changes are performed to evaluate the capability of the proposed algorithm and to investigate its potential usefulness in model updating.
Słowa kluczowe
Rocznik
Tom
Strony
395--404
Opis fizyczny
Bibliogr. 16 poz., tab.
Bibliografia
- [1] A. Aiad. Recalage de modeles elements finis a partir des proprietes modales experimental. Proposition d'unalgorithme global a signification physique enrichie. Doctoral Thesis. University of Valenciennes, Prance, 1991.
- [2] A. Aiad, P. Level, Y. Ravalard. A global updating procedure to improve finite element models. Proceedings of the 10th International Modal Analysis Conference, San Diego (USA), 1051-1056, 1992.
- [3] R.J. Allemang, O.L. Brown. A correlation coefficient for modal vector analysis. Proceedings of the 1st International Modal Analysis Conference (USA), 110-116, 1982.
- [4] M. Baruch. Optimal correction of mass and stiffness matrices using measured modes. AIAA Journal, 20(11): 1623-1626, 1982.
- [5] A. Berman. Mass matrix correction using an incomplete set of measured modes. AIAA Journal, 17(10): 1147-1148, 1979.
- [6] A. Berman, E.J. Nagy. Improvement of a large analytical model using test data. AIAA Journal, 21(8): 1168- 1173, 1983.
- [7] P.D. Cha, W. Gu. Model updating using an incomplete set of experimental modes. Journal of Sound and Vibration, 233(4): 587-600, 2000.
- [8] L. Chih, S.R Ibrahim. The use of complex modes versus normal modes in structural model improvement. Proceedings of the 2nd International Modal Analysis Conference, Orlando (USA), 415-424, 1984.
- [9] S.R. Ibrahim. Computation of normal modes from identified complex modes. AIAA Journal, 21(3): 446-451, 1983.
- [10] S.R. Ibrahim. Dynamic modelling of structures from measured complex modes. AIAA Journal, 21(6): 898-901, 1983.
- [11] J.E. Mottershead, M.I. Priswell. Model updating in structural dynamics: A survey. Journal of Sound and Vibration, 167(2): 347-375, 1993.
- [12] J.K. Sinha, A.R. Rao, R.K. Sinha. Advantage of the updated model of structures: A case study. Nuclear Engineering and Design, 232: 1-6, 2004.
- [13] W.J. Visser, M. Imregun. A technique to update finite element models using frequency response data. Proceedings of the 9th International Modal Analysis Conference, Florence (Italy), 462-468, 1991.
- [14] F.S. Wei. Stiffness matrix correction from incomplete test data. AIAA Journal, 18(10): 1274-1275, 1980.
- [15] D.W. Zhang, L. Zhang. Matrix transformation method for updating dynamic model. AIAA Journal, 30(5): 1440-1443, 1992.
- [16] Q. Zhang, G. Lallement, R. Fillod, J. Piranda. A complete procedure for the adjustment of a mathematical model from the identified complex modes. Proceedings of the 5th International Modal Analysis Conference, London (G.B.), 1183-1190, 1987.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0032-0031
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