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Smart Structures and Systems Volume 25, Number 3, March 2020 , pages 265-277 DOI: https://doi.org/10.12989/sss.2020.25.3.265 |
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Hilbert transform based approach to improve extraction of "drive-by" bridge frequency |
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Chengjun Tan and Nasim Uddin
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| Abstract | ||
| Recently, the concept of"drive-by" bridge monitoring system using indirect measurements from a passing vehicle to extract key parameters of a bridge has been rapidly developed. As one of the most key parameters of a bridge, the natural frequency has been successfully extracted theoretically and in practice using indirect measurements. The frequency of bridge is generally calculated applying Fast Fourier Transform (FFT) directly. However, it has been demonstrated that with the increase in vehicle velocity, the estimated frequency resolution of FFT will be very low causing a great extracted error. Moreover, because of the low frequency resolution, it is hard to detect the frequency drop caused by any damages or degradation of the bridge structural integrity. This paper will introduce a new technique of bridge frequency extraction based on Hilbert Transform (HT) that is not restricted to frequency resolution and can, therefore, improve identification accuracy. In this paper, deriving from the vehicle response, the closed-form solution associated with bridge frequency removing the effect of vehicle velocity is discussed in the analy tical study. Then a numerical Vehicle-Bridge Interaction (VBI) model with a quarter car model is adopted to demonstrate the proposedapproach. Finally, factors that affect the proposed approach are studied, including vehicle velocity, signal noise, and road roughness profile. | ||
| Key Words | ||
| Hilbert Transform; bridge frequency; drive-by bridge inspection; bridge health monitoring; non-destructive evaluation | ||
| Address | ||
| (1) Chengjun Tan: Civil engineering Department, Hunan University, Changsha 41000, Hunan, China; (2) Nasim Uddin: Civil & Environmental Engineering Department, The University of Alabama at Birmingham, 1075 13th St S, Birmingham, AL 35205 USA. | ||