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Approximate modeling of an elastic structure according to test data with various confidences

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Abstract

In this paper, an elastic structure model is constructed according to the test data with various confidences and properly selected analytical parameters (mass matrixM or stiffness matrixK). First, the modeling method is described, and second, the uniqueness of the result is strictly proved. Finally, a numerical example is given to show the reasonableness of this method and the superiority of the result to that in reference [4].

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References

  1. Huang Lin, Linear Algebra in System and Control Theory, Scientific Press, Beijing, (1984) (in chinese).

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  2. Huang Lin, Computation and Perturbation Estimation for the Quadratic Roots of a Positive Definite Matrix,Acta. Math., Appl. Sinica, 2, (1980) (in Chinese).

  3. Ben-Isarael, A. J. and Greville, T. N. E., Generalized Inverses Theory and Applications, Wiley-Inferscience Publication (1974).

  4. Brauch, M. and Itzhack, I. Y. B., Optimal Weighted Orthogonalization of Measured Modes,AIAA J. 16, 4 (1978), 346–351.

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Lin, H., Decheng, C. & Huageng, L. Approximate modeling of an elastic structure according to test data with various confidences. Acta Mech Sinica 4, 248–254 (1988). https://doi.org/10.1007/BF02486656

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  • DOI: https://doi.org/10.1007/BF02486656

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