Finding the natural frequency of a set of data

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SUMMARY

The discussion centers on determining the natural frequency of a cantilever beam using experimental data collected via an accelerometer and an impulse hammer. The user seeks assistance in analyzing frequency, force, and acceleration data recorded in an Excel file. Key advice includes utilizing Fourier Transforms to identify maximum peaks in the displacement response magnitude, which can then be used to calculate the natural frequency based on the time period between these peaks. The user has not yet covered Fourier Transforms in their class, indicating a gap in their current understanding.

PREREQUISITES
  • Understanding of natural frequency concepts in mechanical systems
  • Familiarity with accelerometer data collection techniques
  • Basic knowledge of impulse testing methods
  • Proficiency in Excel for data analysis
NEXT STEPS
  • Learn about Fourier Transforms and their application in signal processing
  • Research methods for identifying peaks in time-series data
  • Explore software tools for performing Fourier analysis on experimental data
  • Study the relationship between mass, stiffness, and natural frequency in cantilever beams
USEFUL FOR

Students in vibrations or mechanical engineering courses, researchers analyzing dynamic systems, and engineers involved in structural testing and analysis.

agindy86
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Homework Statement


Hi all, I'm having an issue with a homework problem. I'm taking a vibrations class and in our lab we had a cantilever beam with a mass on the end. There is an accelerometer on the beam and we used an impulse hammer to hit the beam. We had software that recorded all the frequency, force and accelerations of the beam while it was vibrating and it was put all into an excel file. From this given data we then have to find the natural frequency of the beam. I am racking my brain trying to figure out how to go about doing this but I'm stumped. Does anyone have any suggestions?

Homework Equations


I know how to find the natural frequency with the given mass and stiffness values but we need to be able to find it using the given data that was recorded during the experiment.

The Attempt at a Solution


This is where I need the help
 
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Welcome to PF.

Has your class discussed Fourier Transforms?

And if so, your professor should have made some software available to you for taking the Fourier Transform of your data
 
agindy86: In your output data, look for the maximum peaks of the displacement response magnitude. Obtain the time period between these maximum peaks.
 
First off, thank you for your help. And no we have not discussed Fourier transforms. I'll look into finding the maximum peaks between time periods. Thanks again
 

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