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Calculate Vibration GRMS from Frequency Domain

We are trying to calculate the GRMS of a shaker table vibration profile using LabVIEW. Our shaker table has it's own software which calculates the GRMS. For a couple of reasons, we are trying to write a LabVIEW program that will calculate this GRMS for us. Attached are three screenshots of the software which show the frequency and amplitude of each of our points and then the calculated GRMS. We tried implementing this in LabVIEW and on certain profiles, we are almost exactly matching their value of GRMS. Looking at bands 1 and 3 we are off by about 0.7 and 0.3, respectively. When trying to do the band 2 profile, we are off by as much as 6 GRMS. I have tried using several different integration methods to determine the area under the curve and found that the uneven integration one was the best but still not close enough. Is there a better way to calculate the GRMS from these values than taking the square root of the area under the curve? Or is that not even the best way to determine GRMS?

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