E-Mail: overseas@onosokki.co.jp

Select your region & language

Global

Region

CF-5200 Frequently Asked Questions

Question number FAQ-0367

When I performed a double integral of an acceleration signal over time, the result was a parabola. Why?

When the acceleration signal is a low-voltage signal, double integration results in DC components and extremely low-frequency components appearing relatively large compared to the signal. Therefore, depending on the input signal, the double integral data may become parabolic, or upward-sloping or downward-sloping.
Therefore, it is necessary to increase the voltage signal when inputting it into the FFT analyzer to reduce the DC component and extremely low frequency components.

A practical solution would be to convert the displacement signal into a sufficiently large voltage using an analog integrator and then input it into an FFT analyzer.

The formula for integral calculation is

This is what it will be.

In a double integral, the calculation formula is multiplied by h², and since h is a small value, the result of the double integral is a very small value.

The data in the figure below shows the acceleration waveform at the top and the double-integrated waveform at the bottom. The parabola of the double integration corresponds to the addition of DC components (offsets), with a small amount of AC components (fluctuations) included within it.

Auto-scaling is affected by the DC component and does not scale appropriately for the AC component. To view the AC component, you would need to zoom in with manual scaling, but this is quite difficult as it does not yield the displacement waveform expected from the acceleration waveform.

(This function does not remove low-frequency or DC components after integration.)

Last updated: 2005-06-20