How to get the transfer function for force transmissibility of a wall?

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SUMMARY

The discussion focuses on obtaining the transfer function (TF) for force transmissibility of a wall using input force data from a hammer and output acceleration data from an accelerometer. It is confirmed that it is possible to derive the TF without prior knowledge of the wall's damping, stiffness, or mass. The key method mentioned is conducting a modal test, which utilizes the input force versus time and output acceleration versus time data to determine damping and identify multiple natural frequencies.

PREREQUISITES
  • Understanding of transfer functions in mechanical systems
  • Familiarity with modal testing techniques
  • Knowledge of data acquisition methods for force and acceleration
  • Basic principles of vibration analysis
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  • Research modal testing methodologies in mechanical systems
  • Learn how to analyze input force and output acceleration data
  • Study the concept of natural frequencies in structural dynamics
  • Explore software tools for data analysis in vibration testing
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Engineers, researchers, and students in mechanical engineering or structural dynamics who are interested in vibration analysis and transfer function determination for walls and partitions.

StoneBored
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TL;DR
How to get the transfer function if I have the input and output acceleration from measurements?
Hi, I am trying to get the transfer function from a wall between rooms. From one side I have the force of a hammer as an input ,and in the other side of the wall (next room) I have an accelerometer. Is it possible to get the TF without know the damping, stiffness and mass of the wall partition?

Thanks for reading!
 
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Yes. Try search term modal test to learn more.

You need only the input force vs time and output acceleration vs time data. The data will give you the damping. There will be multiple natural frequencies, each with its own damping.
 
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