Learning Forum

[Abhishek Abhishek]

Hello 

 I am currently working on a vibration analysis project involving a cylindrical shell, aiming to replicate the working conditions of a mill. I have successfully conducted one case, simulating the response of the mill in a free condition without any external loads.

Now, I am moving on to the second case, where I intend to analyze the mill under loading conditions. My challenge lies in accurately replicating the loads that the mill would undergo during operation. After some research and considering project requirements, it seems that providing an initial displacement or applying a sinusoidal force are viable options for loading the structure. 

My questions for the community are as follows: 

Would providing an initial displacement or applying a sinusoidal force accurately replicate the working conditions of the mill?

If so, how do I go about implementing these loading conditions in my analysis? I am particularly interested in understanding the steps involved in setting up the simulation and recording the vibration response. 

Based on my understanding, a transient structural analysis would be appropriate for this scenario. Does this approach align with best practices for simulating dynamic loading conditions? 

Thanks

[peteroznewman]

Please insert some images that illustrate the working conditions of a mill.

Have you found any research papers on simulating the working conditions of a mill?

[Abhishek Abhishek]

This is the best reseach paper I could find which illustrates the working conditions of the mill and any forces acting on it because of the condtions. But this software is created by the author, and not available readily. And the data input required is also hard to get,

[peteroznewman]

Did you download this paper?

[Abhishek Abhishek]

Yes I downloaded this paper. But I don't have access to the parameters required for the given calculations. 

The project head asked me to try doing a sinusoidal force input or by providing it an initial displacement and then looking at thr results and compare it to the theoretical results 

[peteroznewman]

What parameters don't you have?

Describe the theoretical results you want to compare your model to.

[Abhishek Abhishek]

These are the mode shapes that I got from running the theoretical equations in Matlab.
For the case of the mill running in free condition, I got similar results in the simulation and Matlab mode shapes.

These are the equations that I used to form these mode shapes. Nx , Nθ , Nxθ are the forces in longitudinal, circumferential and directions respectively, and Mx, Mθ , Mxθ are the moments acting in the longitudinal, circumferential and directions respectively, and ????θ0 is the 
initial hoop tension due to the centrifugal force effect  .


As for the parameters, I dont have any parameters and I'm working with a imaginary dimensions just to get an idea of how the results of the vibration analysis would look as to have a rough basic comparison for the real life experiments