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Earthquake Engineering Research - HKU Libraries - The University ...

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Proceedings of the International Conference on<br />

Advances and New Challenges in <strong>Earthquake</strong><br />

<strong>Engineering</strong> <strong>Research</strong>, Hong Kong Volume<br />

*''<br />

SIGNATURE RECOGNITION OF STRUCTURAL DAMAGE: DATA<br />

ANALYSIS AND MODEL-BASED VALIDATION FOR<br />

DESTRUCTIVE FIELD TESTS<br />

Ray Ruichong Zhang 1 , Matt MacRostie*, and Y.L. Xu 2<br />

1 Division of <strong>Engineering</strong>, Colorado School of Mines, Golden, CO 80401, USA<br />

2 Department of Structural <strong>Engineering</strong>, Hong Kong Polytechnic <strong>University</strong>, Hong Kong<br />

ABSTRACT<br />

This study uses the Hilbert-Huang transform (HHT), a method for nonlinear, nonstationary data<br />

processing, to analyze recordings of destructive vibration tests of substructures in Trinity River Relief<br />

(TRR) Bridge in Texas in its intact, minor- and severe-damage stages. It shows that the HHT method<br />

can identify the natural frequencies of the structure from the mixed frequency content in a recording<br />

that also contains the time-dependent excitation and noise frequencies, and then to quantify the<br />

downshift of frequencies for damaged structure relative to frequencies in the non-damaged structure.<br />

<strong>The</strong> above assertion is also validated by an ANSYS model-based analysis.<br />

INTRODUCTION<br />

<strong>The</strong> most common damage of bridge piers and abutments is caused by scour from floods, which cannot<br />

be visualized nor calculated by normal hydraulic and geotechnical analysis procedures. Using<br />

vibration measurements might aid in the detection of the damage. Without appropriate data analysis<br />

methods, however, it will not identify minor damage. For example, conventional (e.g., Fourier-based)<br />

data processing/analysis techniques may yield distorted, indirect, or incomplete information about<br />

vibration motion that is inherently nonstationary and also likely the result of a nonlinear dynamic<br />

process. This will mislead the consequent use of the data for damage signature recognition.<br />

Because of its ability to faithfully characterize nonlinear (time-varying amplitude and frequency) and<br />

nonstationary data, the HHT (Huang et al. 1998) can provide an alternative tool for data analysis and<br />

subsequent applications to damage-signature recognition. <strong>The</strong> HHT method builds on Empirical Mode<br />

Decomposition (EMD) and Hilbert Spectral Analysis (HSA). Based on the local characteristic time<br />

scale of any complicated time series, the EMD decomposes the data set into a finite, often small<br />

number of intrinsic mode functions (IMF) that admit a well-behaved Hilbert transform. <strong>The</strong> HSA of<br />

each IMF then defines instantaneous or time-dependent frequencies of the data that have physical<br />

meaning, unlike the HSA of the original data (Huang et al., 1998). <strong>The</strong> EMD, HSA, or their<br />

combination referred to as the HHT typically helps recover useful information from the data sets under

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