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| Ground motion characteristics analysis and synthesis accuracy evaluation based on dynamic time warping distance |
| HE Haoxiang, XIE Xin, WANG Wentao |
| Beijing Key Lab of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China |
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Abstract The similarity degree of different signals can be accurately calculated by a dynamic time warping (DTW) algorithm, so it can be applied in waveform comparison and similarity evaluation. To overcome the deficiencies of traditional seismic wave shape comparison and performance evaluation methods, the earthquake waveform identification and ground motion characteristics analysis method based on DTW distance was proposed. According to the statistical analysis of a large number of earthquake waves, the variation law of DTW distance considering amplitude, time difference, noise to signal ratio and the synthetic effect of time difference and noise was obtained. It is proved that the DTW distance can be used as the evaluation standard of waveform precision. It was demonstrated that DTW distance and vector norm is in essence equivalent, and DTW distance is closely related to the equivalent amplitude and energy of earthquake waves. The physical meaning of DTW distance was verified by analyzing the data of the array ground motion, and the results show that DTW distance distribution can accurately represent the time and space variation effect of regional seismic motion. The reference range of DTW distance was determined by statistical analysis, and it can be used as the accuracy evaluation criterion of synthetic multipoint earthquake wave, and the optimal synthesis scheme of artificial wave with more actual characteristic was obtained. Based on the variation law of DTW distance, the synthetic accuracy evaluation, optimization and selection of artificial earthquake wave with spatial variation effect can be realized.
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Received: 13 December 2016
Published: 15 June 2018
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