Title page for ETD etd-02022007-133641
|Type of Document
||Archibald, Charles Mark
||Parametric spatial modal analysis of beams
|Robertshaw, Harry H.
|Wicks, Alfred L.
|Mitchell, Larry D.
|Pierce, Felix J.
|West, Robert L. Jr.
- Modal analysis
- Girders Mathematical models
- Girders Testing
|Date of Defense
Modal analysis is the expermental characterization of the dynanlical behavior of a
structure. Recent advances in laser velocimetery have made available to the experimentalist a rich, new source of vibration data. Data can now be obtained from many different spatial locations on a structure. A method is presented to use this new data for
the analysis of beams. Two approaches are investigated: minimum residual methods and
boundary condition methods. The minimum residual approaches include autoregressive
methods and non-linear least squares techniques. Significant contributions to sample rate
considerations for parametric sinusoidal estimation resulted from this research. The
minimum residual methods provide a good connection between the measured data and the
fitted model. However, they do not yield a true modal decomposition of the spatial data.
The boundary condition approach provides a complete modal model that is based on the
spatial data and is completely compatible with classical beam theory. All theoretical
constraints are included in the procedure. Monte Carlo investigations describe the
statistical characteristics of the methods. Experiments using beams validate the methods
presented. Advantages and limitations of each approach are discussed.
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