The successful operation of proposed precision spacecraft will require finite element models that are accurate to much higher frequencies than the standard application. The hallmark of this mid-frequency range, between low-frequency modal analysis and high-frequency statistical energy analysis, is high modal density. The modal density is so high, and the sensitivity of the modes with respect to modeling errors and uncertainty is so great that test/analysis correlation and model updating based on traditional modal techniques no longer work. This paper presents an output error approach for finite element model updating that uses a new test/analysis correlation metric that maintains a direct connection to physical response. The optimization is gradient based. The metric is based on frequency band averaging of the output power spectral densities with the central frequency of the band running over the complete frequency range of interest. The results of this computation can be interpreted in several different ways, but the immediate physical connection is that it produces the mean-square response, or energy, of the system to random input limited to the averaging frequency band. The use of spectral densities has several advantages over using frequency response directly, such as the ability to easily include data from all inputs at once, and the fact that the metric is real. It is shown that the averaging process reduces the sensitivity of the optimization due to resonances that plague many output error model updating approaches.
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e-mail: kammer@engr.wisc.edu
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August 2009
Research Papers
Frequency Band Averaging of Spectral Densities for Updating Finite Element Models
Daniel C. Kammer,
Daniel C. Kammer
Department of Engineering Physics,
e-mail: kammer@engr.wisc.edu
University of Wisconsin
, 1500 Engineering Drive, Madison, WI 53706
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Sonny Nimityongskul
Sonny Nimityongskul
Department of Engineering Physics,
University of Wisconsin
, 1500 Engineering Drive, Madison, WI 53706
Search for other works by this author on:
Daniel C. Kammer
Department of Engineering Physics,
University of Wisconsin
, 1500 Engineering Drive, Madison, WI 53706e-mail: kammer@engr.wisc.edu
Sonny Nimityongskul
Department of Engineering Physics,
University of Wisconsin
, 1500 Engineering Drive, Madison, WI 53706J. Vib. Acoust. Aug 2009, 131(4): 041007 (10 pages)
Published Online: June 8, 2009
Article history
Received:
October 6, 2008
Revised:
January 9, 2009
Published:
June 8, 2009
Citation
Kammer, D. C., and Nimityongskul, S. (June 8, 2009). "Frequency Band Averaging of Spectral Densities for Updating Finite Element Models." ASME. J. Vib. Acoust. August 2009; 131(4): 041007. https://doi.org/10.1115/1.3085885
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