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

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To obtain the transfer function for force transmissibility of a wall, it is possible to use input force and output acceleration data without knowing the wall's damping, stiffness, and mass. Conducting a modal test can provide insights into the system's behavior. The input force from a hammer and the accelerometer's output will yield the necessary data. This data will reveal multiple natural frequencies, each associated with its own damping characteristics. Understanding these elements is crucial for accurately determining the transfer function.
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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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