Abstract
This study improves upon the traditional polynomial detrending method in order to correct the vibration acceleration signals with inconsistent initial velocity and displacement more rationally and efficiently. When numerical integration of recorded acceleration signals using assumed initial velocity and displacement values (which are generally inconsistent with real values) is performed, baseline shift or drift phenomenon can arise in velocity and displacement curves obtained. Baseline correction must be performed if an inconsistent acceleration signal is to be used in dynamic analyses. Polynomial detrending is generally used to remove unreasonable trends in time series, but the consistency among acceleration, velocity, and displacement has not received sufficient attention. The traditional polynomial detrending method is improved by purposefully removing the shifted trends in velocity and displacement. Two inconsistent vibration signals are selected to be corrected using both the traditional method and the improved method. It was found that the traditional method does not give a satisfactory correction result, but the improved method can correct the signal to be consistent. The improved detrending method is effective in making vibration signals have consistent acceleration, velocity, and displacement.
Highlights
Vibration signals are generally measured or recorded using accelerographs,[1] and the corresponding time history data of velocity and displacement are obtained by taking the numerical integral of the recorded acceleration data.[2]
The assumed initial values of velocity and displacement are inconsistent with real values, resulting in the phenomenon of baseline shift or drift of the velocity and displacement data
Initial values of velocity and displacement are important in the process of integrating acceleration data into velocity and displacement
Summary
Vibration signals are generally measured or recorded using accelerographs,[1] and the corresponding time history data of velocity and displacement are obtained by taking the numerical integral of the recorded acceleration data.[2]. For correcting inconsistent vibration signals, the most widely used solution is to remove the parabolic or polynomial trend from acceleration data or to apply a high-pass filter to them.[5,7,8,9,10] these methods, which pay inadequate attention to velocity and displacement, cannot give satisfactory results if the baseline of displacement drifts heavily.
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