High Frequency that can cause g-sensor damage

AI Thread Summary
The discussion focuses on measuring the frequency of a PCB depaneling machine to assess potential damage to a gyro-sensor, which is sensitive to frequencies above 75kHz or 100 g. The user is utilizing a Laser Doppler vibrometer connected to an oscilloscope for comprehensive measurements but faces challenges in converting amplitude readings into acceleration or velocity. Key points include the need for a Fourier transform of the time series data to yield a properly normalized spectrum in g's or m/s². The user has recorded specific frequency and amplitude values but struggles with the unit conversion necessary for accurate g-force measurement. The conversation emphasizes the importance of understanding the relationship between amplitude and physical displacement to determine the sensor's risk of damage.
Master_Viper
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Hello All,

Anyone can help, but first allow me to give you some background, I have a project this project is to measure the frequency of the PCB depaneling machine that might damage the sensetive component which is the gyro-sensor. The sensor will damage if the frequency is above 75kHz or 100 g (gravitational force). So, Inorder to measure this I have to use a Laser doppler vibrometer, however, the equipment that I used is not capable to measure the entire length of the PCB, what I did is connect the equipment to oscilloscope so that I can measure the entire length of the PCB. Now, I have the reading of frequency and amplitude. My question is how to convert the amplitude into acceleration/velocity to get the unit measurement of g.

Thanks in advance!
 
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Somewhere there is likely a Fourier transform of time series data. One can perform a Fourier transform carefully and yield a spectrum that has expected units that are properly normalized in terms of amplitude (g's or m/s/s vs. frequency). Do you have the original acceleration vs. time data in known units?
 
Can you assume a sample corresponds to a sin wave: position = amplitude x sin(time x frequency x 2 x pi)? If so, then you could use the second derivative = - amplitude x (frequency x 2 x pi)^2 x sin(time x frequency x 2 x pi). Peak acceleration would occur when sin() == 1.
 
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Dr. Courtney said:
Somewhere there is likely a Fourier transform of time series data. One can perform a Fourier transform carefully and yield a spectrum that has expected units that are properly normalized in terms of amplitude (g's or m/s/s vs. frequency). Do you have the original acceleration vs. time data in known units?
Dr. Courtney said:
Somewhere there is likely a Fourier transform of time series data. One can perform a Fourier transform carefully and yield a spectrum that has expected units that are properly normalized in terms of amplitude (g's or m/s/s vs. frequency). Do you have the original acceleration vs. time data in known units?


I have a reading of the following:
Frequency : 171.4 Khz
Peak-Peak : 3.28 V
Amplitude : 120mV
RMS : 479mV

Base on the above data I tried to transform to Fourrier Spectrum Analyzer, However, the problem is the unit measurement of amplitude.
 
To determine acceleration (g-force), you need amplitude ((peak to peak) / 2) as a measure of distance (not voltage).
 

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