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Approximate modeling of an elastic structure according to test data with various confidences. (English) Zbl 0733.73044

Summary: An elastic structure model is constructed according to the test data with various confidences and properly selected analytical parameters (mass matrix M or stiffness matrix K). Firstly, the modeling method is described, and secondly, the uniqueness of the result is strictly proved. Finally, a numerical example is given to show the rasonableness of this method and the superiority of the result to that given by others.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
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References:

[1] Huang Lin, Linear Algebra in System and Control Theory, Scientific Press, Beijing, (1984) (in chinese).
[2] Huang Lin, Computation and Perturbation Estimation for the Quadratic Roots of a Positive Definite Matrix,Acta. Math., Appl. Sinica, 2, (1980) (in Chinese). · Zbl 0483.15010
[3] Ben-Isarael, A. J. and Greville, T. N. E., Generalized Inverses Theory and Applications, Wiley-Inferscience Publication (1974). · Zbl 0305.15001
[4] Brauch, M. and Itzhack, I. Y. B., Optimal Weighted Orthogonalization of Measured Modes,AIAA J. 16, 4 (1978), 346–351. · doi:10.2514/3.60896
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