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Finite element model updating using Lagrange interpolation

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, an iterative finite element model updating method in structural dynamics is proposed. This uses information matrices and element connectivity matrices to reconstruct the corrected model by reproducing the frequency response at measured degrees of freedom. Indicators have been proposed to quantify the mismodelling errors based on a development in Lagrange matrix interpolation. When applied on simulated truss structures, the model gives satisfactory results by detecting and quantifying the defaults of the initial model.
Rocznik
Strony
228--232
Opis fizyczny
Bibliogr. 23 poz., 1 rys., wykr.
Twórcy
autor
  • Laboratory of Elaboration and Characterization of Materials and Modelling (LEC2M), Mouloud Mammeri University of Tizi-Ouzou, BP 17 RP 15000, Algeria
Bibliografia
  • [1] Baruch, M.: Optimisation procedure to correct stiffness and flexibility matrices using vibration data. AIAA J., 16(11) , 208- 1210, 1978.
  • [2] Berman, A., Nagy, E.J.: Improvement of large analytical model using test data. AIAA J., 21(8) , 1169-2273, 1983.
  • [3] Wei, F.S.: Analytical dynamic model improvement using vibration test data. AIAA J., 28, 175-177, 1990.
  • [4] Gysin, H.P.: Critical application of the error matrix method for localisation of finite element modelling inaccuracies. Proceedings of the 4th International Modal Analysis Conference, 1339- 1351, 1986.
  • [5] He, J., Ewins, D.J.: Analytical stiffness matrix correction using measured vibration modes. Modal Anal. 1(3) , 9-14, 1986.
  • [6] Starek, L., Ewins, D.J.: A symmetric inverse vibration problem with over damped modes. J. Sound Vib., 181(5) , 893-903, 1995.
  • [7] Starek, L., Inman, D.J.: On the inverse vibration problem with rigid body modes. ASME J. Appl. Mech., 58(4) , 1101-1104, 1991.
  • [8] Starek, L., Inman, D.J., Kress, A.: A symmetric inverse vibration problem. ASME J. Vib. Acoust., 114(4) , 564-568, 1992.
  • [9] Starek, L., Musil, M., Inman, D.J.: Updating of non-conservative systems using inverse methods. Proceedings of the ASME Design Engineering Technical Conference, 41-58, 1997.
  • [10] Link, M., Zhang, L.: Experience with different procedures for updating structural parameters of analytical models using test data. Proceedings of the 10th International Modal Analysis Conference, 730-738, 1992.
  • [11] Link, M., Rohrmann, R.G., Pietrzko, S.: Experience with automated procedures for adjusting the finite element model of a complex highway bridge to experimental modal data. Proceedings of the 14th International Modal Analysis Conference, 218- 225, 1996.
  • [12] Natke, H.G.: On regularisation methods applied to the error localisation of mathematical models. Proceedings of the 9th International Modal Analysis Conference, 70-73, 1991.
  • [13] Visser, W.J., Imregun, M.: A technique to update finite element models using frequency response data. Proceedings of the 9th International Modal Analysis Conference, 462-468, 1991.
  • [14] Imregun, M., Visser, W.J., Ewins, D.J.: Finite element model updating using frequency response function data - I. theory and initial investigation. Mech. Syst. Signal Pr., 9(2) , 187-202, 1995.
  • [15] Reix, C., Gerard, A., Tombini, C.: Updating the damping matrix using frequency response data. Proceedings of the ASME Design Engineering Technical Conferences, 803-808, 1995.
  • [16] Lindholm, B.E., West, R.L.: Finite element model reconciliation with dynamic response data using a statistics-based parameterupdate approach. Proceedings of the 13th International Modal Analysis Conference, 1540-1546, 1995.
  • [17] Mares, C., Friswell, M.I., Mottershead, J.E.: Model updating using robust estimation. Mech. Syst. Signal Pr., 16(1) , 169-183, 2002.
  • [18] Larson, C.B., Zimmerman, D.C.: Structural model refinement using a genetic algorithm approach. Proceedings of the 11th International Modal Analysis Conference, 1095-1101, 1993.
  • [19] Carlin, R.A.,Garcia, E.: Parameter optimisation of a genetic algorithm for structural damage detection. Proceedings of the 14th International Modal Analysis Conference, 1292-1298, 1996.
  • [20] Yang, M., Allemang, R., Brown, D.: Practical aspects of perturbed boundary condition (PBC) finite element model updating techniques. SAE Transactions, 106 (6) , 2836-2844, 1997.
  • [21] Barney, P., St. Pierre, M., Brown, D.: Identification of a modal model utilising a perturbed boundary condition test method. Proceedings of 10th International Modal Analysis Conference, 1221-1231, 1992.
  • [22] Chen, K.N., Brown, D., Nicolas, V.T.: Perturbed boundary condition model updating. Proceedings of the 11th International Modal Analysis Conference, 661-667, 1993.
  • [23] Li, S., Shelley S., Brown, D.: Perturbed boundary condition testing concepts. Proceedings of the 13th International Modal Analysis Conference, 902-911, 1995.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f627bd58-2fa9-4192-bffc-0da37b8ab9a1
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