Abstract
In studying vibrations of flexible structures, estimation of system parameters using observations in the time domain gave poor results when the observations contained several vibration modes. In response to this difficulty in using time domain optimization techniques, we attempted to carry out identification in the frequency domain. The underlying idea for this procedure involves taking the discrete Fourier transform (DFT) of the data and defining the cost function by using this transformed data and transforms of the model solution. In this paper we outline the theoretical foundations for general frequency domain parameter estimation techniques for second order systems described in terms of sesquilinear forms and operators in a Hilbert space. To illustrate the ideas and techniques, we apply them to the problem of estimating damping parameters in Timoshenko beams.
Research supported in part by the Air Force Office of Scientific Research under grant AFOSR-90-0091.
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© 1993 Springer Science+Business Media New York
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Banks, H.T., Wang, Y. (1993). Parameter Identification in the Frequency Domain. In: Bowers, K., Lund, J. (eds) Computation and Control III. Progress in Systems and Control Theory, vol 15. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0321-6_3
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DOI: https://doi.org/10.1007/978-1-4612-0321-6_3
Publisher Name: Birkhäuser, Boston, MA
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