Abstract
Quantifying the non-stationary properties of bridge under passing vehicle has been an important topic in structural health monitoring of bridge. There are many methods of time–frequency representation used for the study of dynamics of bridge under passing vehicle, including spectrogram, wavelet, Hilbert–Huang transform, and so on. This article uses adaptive optimal kernel time–frequency representation to quantify the non-stationary properties of the response of bridge under passing vehicle and illustrates and discusses its advantages over conventional time–frequency methods.
Highlights
It is well known that bridge during vehicle crossing events is undertaking time-varying running conditions, giving rise to non-stationary vibration signals
Extracting fault information of bridge from such nonstationary signals is the key to the success in structural health monitoring (SHM).There are many researches dedicated to the testing and analysis of vibrations of bridge with vehicle loading.[1,2,3,4,5,6,7,8,9,10]
The existing researches are helpful to SHM, but the problem due to its significance still needs further investigation
Summary
It is well known that bridge during vehicle crossing events is undertaking time-varying running conditions, giving rise to non-stationary vibration signals. As a typical representative of bilinear time–frequency representations (TFRs), Wigner–Ville distribution has the best time–frequency resolution, but it has the inevitable cross-term interferences for multiple component signals Such cross-term interferences complicate the interpretation of signal features in the time–frequency domain and make it unsuitable to analyzing the complex non-stationary vibration signals with uncertainty. By comparing the above-obtained spectrogram with typical benchmark results from theoretical model of vehicle–bridge interaction, such as the time-varying spectrum from accurate theoretical results,[15] Figure 4 shows strong scatter and does not exhibit distinct zebra pattern with stripes evolving with time as documented in the study by Cantero and O’Brien.[15] the resolution of the spectrogram is not sufficient to quantify this non-stationary response. The angle c is measured between the radial line through the point (u, t) and the u axis
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