Modal Identification Algorithm with Unmeasured Input
Publication: Journal of Aerospace Engineering
Volume 5, Issue 4
Abstract
This paper investigates the possibility of generating a time‐domain modal identification algorithm that does not need measurements of the input signals. Such a technique is useful when complete input data acquisition cannot be performed. The approach is based on the Yule‐Walker equations, extended to the case where the input signal is not white noise. The algorithm is written recursively both to minimize data acquisition and to be flexible enough when time‐varying modal parameters are tracked. Natural frequencies and damping ratios are extracted with an error magnitude inferior to impulse response techniques but superior to methods using the input time history. From a computational aspect, the algorithm only introduces scalar inversions, which presents an important gain of time and stability. Examples and comparisons with other techniques are presented. The case where a change in the modal parameter values occur is also highlighted. A normalized error, taking into account the quality and the swiftness of the new estimation, is introduced.
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References
1.
Bonnecase, D., Prevosto, M., and Benveniste, A. (1990). “Application of multidimensional ARMA model to modal analysis under natural excitation.” Proc. 8th Int. Modal Analysis Conf., Kissimmee, Fla., 382–388.
2.
Cremona, C. F. (1990). “Recursive time domain modal identification techniques,” PhD dissertation, University of Wales College of Cardiff, Cardiff, U.K.
3.
Cremona, C. F., and Brandon, J. A. (1990). “On the use of some instrumental variable matrices for inversion in modal analysis.” Proc. 8th Int. Modal Analysis Conf., Kissimmee, Fla., 1291–1296.
4.
Deblauwe, F., Brown, D. L., and Allemang, R. J. (1987). “The polyreference time domain technique.” Proc. 5th Int. Modal Analysis Conf., Orlando, Fla., 832–845.
5.
Ibrahim, S. R., and Mikulcik, E. C. (1977). “A method for the direct identification of vibration parameters from the free response.” Shock and Vibration Bull., 47(4), 183–198.
6.
Ljung, L., and Söderström, T. (1984). Theory and practice of recursive identification. MIT Press, Cambridge, Mass.
7.
Noble, B., and Daniel, J. W. (1977). Applied linear algebra. Prentice Hall, Englewood Cliffs, N.J., 194.
8.
Söderström, T., and Stoica, P. (1988). System identification. Prentice Hall, Englewood Cliffs, N.J.
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Copyright © 1992 ASCE.
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Published online: Oct 1, 1992
Published in print: Oct 1992
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