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TECHNICAL PAPERS

Stochastic System Identification for Operational Modal Analysis: A Review

[+] Author and Article Information
Bart Peeters

LMS International, Interleuvenlaan 68, B-3001 Leuven, Belgiume-mail: bart.peeters@lms.be

Guido De Roeck

Department of Civil Engineering, K.U. Leuven, Kasteelpark Arenberg 40, B-3001 Leuven, Belgiume-mail: guido.deroeck@bwk.kuleuven.ac.be

J. Dyn. Sys., Meas., Control 123(4), 659-667 (Feb 07, 2001) (9 pages) doi:10.1115/1.1410370 History: Received February 07, 2001
Copyright © 2001 by ASME
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References

Figures

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The complex mode indication function (CMIF). The singular values of the spectrum matrix are plotted as a function of the frequency. Around 2.4 Hz and 7 Hz, two singular values are significant, indicating that there are two close modes.
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Stabilization diagram obtained with the IV method. The used symbols are: “⊕” for a stable pole; “.v” for a pole with stable frequency and vector; “.d” for a pole with stable frequency and damping; “.f” for a pole with stable frequency and “.” for a new pole. Two zooms are added that concentrate on the close modes around 2.4 and 7 Hz.
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Stabilization diagram obtained with the SSI-COV method. By comparing this diagram with the IV diagram (Fig. 2), it is clear that the IV method requires higher model orders to find stable poles.
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FE model of the mast structure used in the Monte-Carlo analysis
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Eigenfrequency estimation results from 100 Monte-Carlo simulations. The estimates are divided by the true values (a value of 1 on the graphs indicates a perfect estimate). These relative frequencies are shown as dots. The scatter of this quantity gives an idea about the variance of the estimate. The average estimate is also shown (as a dashed line). The deviation of this quantity from 1 (full line) corresponds to the bias of the estimate. The rows show the 3 modes; the columns represent the results of 3 identification methods: PP, IV and SSI-DATA.
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Damping ratio estimation results from 100 Monte-Carlo simulations. The estimates are divided by the true values (a value of 1 on the graphs indicates a perfect estimate). These relative damping ratios are shown as dots. The scatter of this quantity gives an idea about the variance of the estimate. The average estimate is also shown (as a dashed line). The deviation of this quantity from 1 (full line) corresponds to the bias of the estimate. The rows show the 3 modes; the columns represent the results of 3 identification methods; PP, IV and SSI-DATA.
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Mode shape estimation results from 100 Monte-Carlo simulations. The correlation between the estimated and the true mode shapes are shown (as dots). The average correlation is also shown (as a dashed line). The rows show the 3 modes; the columns represent the results of 4 identification methods: PP, CMIF, IV and SSI-DATA. The scaling of the y-axis varies in vertical direction (to accommodate to the changing estimation quality of the different modes), but not in horizontal direction, allowing an easy comparison of the methods.

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