I am a hobbyist musician and I have been working on music synthesis models for physical instruments like drums. A snare drum's sound can mostly be reduced to fundamentally three things: (1) Head vibration for which the modes are predicted by the Bessel function zeros, (2) Noise generated by the snare wires, and (3) Ring from the metal drum shell.
It is #3 that I need help with now.
I have been able to find articles which discuss various ways to predict the modes of a thin cylinder using ANSYS, so I know this is possible. But I do not have the engineering or physics background to be able to do it myself (I am medical by formal training/trade).
I have attached a few articles reviewing this. I'm wondering if it would be hard to create a project that could calculate various modes (ie. m,n=1,1 up to say 10,10) based on a given cylinder thickness, radius, and depth, as well as a parameter to specify material properties (eg. aluminum, steel, brass).
I am also wondering if a drum shell would be best simulated as a clamped, free, or simply supported boundary condition.
If anyone would be able to do this for me as a small project, I would be happy to pay what is fair by PayPal. I am stuck with my synthesis project until I get this sorted out.
Thanks for any thoughts or ideas!