#### topgun2021

##### Gold Member

Does anyone have literature on the mathematics behind the vibrations of an entire drum (both heads, shell, etc), and how that related to the frequency (Hertz value!?) it gives off?

- Thread starter topgun2021
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Does anyone have literature on the mathematics behind the vibrations of an entire drum (both heads, shell, etc), and how that related to the frequency (Hertz value!?) it gives off?

Even if you use FEA, it would take some time to assemble your material constants. Getting things like Young;s modulus and thickness for the shell wouldn't be too tough but finding them for the head would be a chore. Are you including the shell in your mathematical model?

I've done some of this before in graduate school and it's really interesting. There probably won't be too many people following this thread, but I will. Please keep posting.

I am doing the presentation in mid May, starting research now.

Even if you use FEA, it would take some time to assemble your material constants. Getting things like Young;s modulus and thickness for the shell wouldn't be too tough but finding them for the head would be a chore. Are you including the shell in your mathematical model?

I've done some of this before in graduate school and it's really interesting. There probably won't be too many people following this thread, but I will. Please keep posting.

I Really want to focus more on the math of the single batter head, then shortly explain what else you would have to do for the entire drum.

If you still have the work you did, I would like that. I'll put your name in my citations.

What I did, was model chimes using FEA and then tried to use my model to find the length of a tube necessary to produce given frequencies (like a concert A = 440 Hz). I found that using a very thin tube allowed for the best results. I actually had one of the chimes I modeled cut to size in a machine shop. I came pretty close in the end. It isn;t exactly what you're doinf, but it;s close.

Check the community link. I think my email's in there. If not, I will put it in there.