The proposed formulations deal with various specific aspects of the problem of parametric identi fication of linear elastodynamic finite element models. They involve adapting, via expansion data observed on the structure, to the analogous quantities calculated from the model. They also aim at improving the condition number of the estimation equations. The minimization of expansion errors in frequency responses or eigenvectors by an optimal choice of the observed dofs is formulated in two cases: the first uses a Ritz basis consisting of eigenvectors and static residuals, while the second implies using a Guyan-static condensation matrix. The relationship between optimal expansion and maximization of the cutoff frequency corresponding to this condensation is also analyzed.
Alves-Rade, D., Lallement, G., and Cogan, S., 1994, "Improvement of structural change assessment by using multiple boundary condition configuration," in Proceedings of the 19th International Seminar on Modal Analysis, pp. 1163-1176, Leuven, Belgium.
2.
Andriambololona, H., 1990, "Optimisation des essais et recalage de modeles structuraux ," Ph.D. thesis, University de Franche-Comté, Besançon.
3.
Basseville, H., Benveniste, A., Mouskitakides, G.V., and Rougee, A., 1987, "Optimal sensor location for detecting changes in dynamical behavior," IEE Transactions on Automatic Control32, 1067-1075.
4.
Bouhaddi, N. and Fillod, R., 1992, "A method for selecting master dof in dynamic substructing using the Guyan condensation method," Computers & Structures45, 941-946.
5.
Callahan, J.O., Avitabile, P., and Riemer, R., 1989, "System equivalent reduction expansion process," in Proceedings of the Seventh International Modal Analysis Conference, pp. 29-37, Las Vegas, NV.
6.
Cogan, S., Lallement, G., Ayer, F., and Ben-Haim, Y., 1995, "Updating linear elastic models with modal selective sensitivity ," Inverse Problems in Engineering2, 29-47.
7.
Downs, B., 1973, "Accurate reduction of stiffness and mass matrices for vibration analysis and a rational for selecting master of freedom," J. Sound Vib. 31, 213-233.
8.
Flanigan, C. and Freymiller, E., 1994, "Using dynamic expansion to improve test analysis correlation ," in Proceedings of the 12th International Modal Analysis Conference, pp. 198-204, Honolulu, HI.
9.
Guyan, R.J., 1965, "Reduction of stiffness and mass matrices." AIAAJ3, 380.
10.
Gysin, H., 1990, "Comparison of expansion methods for f.e. modelling error localisation," in Proceedings of the Eighth International Modal Analysis Conference, pp. 195-204, Kissimmee, FL.
11.
Hemez, F. and Farhat, C., 1994, "Comparing mode shape expansion methods for test-analysis correlation," in Proceedings of the 12th International Modal Analysis Conference, 1560-1567, Honolulu, HI.
12.
Henshell, R.D. and Ong, J.H., 1975, "Automatic masters for eigenvalue economization,"Earthquake Engineering and Structural Dynamics3, 375-383.
13.
Jon-Shen, F., Gustavson, B., and Berman, A., 1986, "Error estimation and compensation in reduced dynamic models of large space structures." AIAA paper no. 84-0929.
14.
Kammer, D.C., 1991, "Sensor placements for on orbit modal identification and correlation of large space structures," J. Guidance, Control and Dynamics14, 251-259.
15.
Kammer, D.C., 1992, "Effect of modal error on sensor placement for on orbit modal identification and correlation of large structures," J. Guidance, Control and Dynamics15, 334-341.
16.
Lallement, G., Cogan, S., and Alves-Rade, D., 1994, "Procedures for updating dynamic mathematical models," Final Report, Contract ESA/ESTEC No. 10133/92.
17.
Larson, B., Zimmerman, C., and Marek, L., 1994, "A comparison of modal test planning techniques: Excitation and sensor placement using the NASA 8-bay truss," in Proceedings of the 12th International Modal Analysis Conference, pp. 205-211, Honolulu, HI.
18.
Levine-West, M., Kissil, A., and Milman, M., 1994, "Evaluation of mode shape expansions techniques on the micro-precision interferometer truss," in Proceedings of the 12th International Modal Analysis Conference, pp. 212-218, Honolulu, HI.
19.
Levy, R., 1971, "Guyan reduction solutions recycled for improved accuracy," in NASTRAN User's Experiences, pp. 201-220, NASA.
20.
Link, M., 1991, "Localization of errors in computational models using dynamic test data," in Proceedings of the European Conference on Structural Dynamics, EURODYN 90, pp. 305-313, Balkema, Rotterdam.
21.
Natke, H.G., Danisch, R., and Delinic, K., 1989, "Condensation methods for the dynamic analysis of large models," Nuclear Engineering and Design111, 265-271.
22.
Penny, J.E.T., Friswell, M.I., and Garvey, S.D., 1994, "Automatic choice of measurement location for dynamic testing," AIAAJ32, 407-414.
23.
Roy, N., Girard, A., and Bugeat, L.P., 1993, "Expansion of experimental mode shapes: An improvement of projection technique," in Proceedings of the 11 th International Modal Analysis Conference, pp. 152-158, Kissimmee, FL.
24.
Shah, V.N. and Raymund, M., 1982, "Analytical selection of masters for reduced eigenvalue problems," Int. J. Numer. Eng.18, 89-98.
25.
Zhang, Q., 1987, "Identification modale et paramétrique de structures mécaniques auto-adjointes et non auto-adjointes," Ph.D. thesis, University of Franche-Comté, Besançon.
26.
Zhang, Q. and Lallement, G., 1987, "A complete procedure for the adjustment of a mathematical model from the identified complex modes," in Proceedings of the Fifth International Modal Analysis Conference, p. 1183, London.
