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

• StoneBored
In summary, it is possible to obtain the transfer function of a wall between rooms without knowing the damping, stiffness, and mass of the wall partition. This can be achieved through a modal test, by using input force and output acceleration data. The data will also provide information on the damping, which will vary for each natural frequency. For more information, you can search for the term "modal test".
StoneBored
TL;DR Summary
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?

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.

StoneBored, jim mcnamara and hutchphd

## 1. What is a transfer function for force transmissibility of a wall?

A transfer function for force transmissibility of a wall is a mathematical representation of how a force applied to a wall is transmitted to the other side. It takes into account the properties and characteristics of the wall, such as its material, thickness, and stiffness, to determine how much force is transmitted through the wall.

## 2. How is the transfer function for force transmissibility of a wall calculated?

The transfer function for force transmissibility of a wall is calculated using a combination of theoretical equations and experimental data. Theoretical equations, such as the equations of motion and stress-strain relationships, are used to model the behavior of the wall. Experimental data, such as force and displacement measurements, are used to validate and refine the theoretical model.

## 3. What factors affect the transfer function for force transmissibility of a wall?

The transfer function for force transmissibility of a wall is affected by several factors, including the material properties of the wall, the geometry of the wall, the frequency and amplitude of the applied force, and any external loads or constraints acting on the wall. These factors can influence the stiffness, damping, and resonance behavior of the wall, which in turn affects the transfer function.

## 4. How can the transfer function for force transmissibility of a wall be used?

The transfer function for force transmissibility of a wall can be used to predict the response of the wall to different types of forces, such as wind or seismic forces. It can also be used to design and optimize the wall for specific applications, such as noise reduction or structural stability. Additionally, the transfer function can be used to evaluate the effectiveness of different materials or construction techniques for the wall.

## 5. Are there any limitations to using the transfer function for force transmissibility of a wall?

While the transfer function for force transmissibility of a wall is a useful tool for understanding and predicting the behavior of a wall, it does have some limitations. The accuracy of the transfer function depends on the accuracy of the input parameters and assumptions used in the calculations. Additionally, the transfer function may not accurately represent the behavior of the wall under extreme or unexpected conditions.

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