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Processing acceleration signals through temporal axis double integration resulted in a parabola. Why?


If the acceleration signal is a micro voltage signal and the signal is processed through double integration, the DC components and extremely low-frequency components appear relatively larger in comparison to normal signals. Therefore, processing may result in a parabola or double integration data rising diagonally up and to the right or falling diagonally down to the right. Therefore, it is necessary to reduce the DC components and extremely-low frequency components by increasing the voltage signal when loading the signal into the FFT analyzer.

As the practical method, process the signals with an analog integrator, convert displacement signals to those of sufficiently high voltage, and load them into the FFT analyzer.

The integration calculation formula is: double integration (integrate again the data that has been integrated).

In double integration, h2 is applied to the calculation formula. Since h is a small value, the result of the double integration will be an extremely small value.

The diagram below shows the acceleration waveform at the top and the double-integrated waveform at the bottom. The parabola of the double integration is equivalent to the addition of the DC component (offset) with an extremely low dose of AC components (fluctuation).

Auto scale does not comply with the AC component due to the influence of the DC component. To examine the AC component, the scale needs to be expanded manually. However, since an expected displacement waveform cannot be obtained from the acceleration waveform, the situation is quite difficult. (Low frequency after integration and DC component elimination function are not available.)

 

(2005.06.20)

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