Hi there I am currently doing a major thesis on the procedural generation of an acoustic drum kit, using PD (puredata). Now what I am actually doing is physically modelling the drum kit piece by piece, starting with the drum shell. I know that every aspect of the drum contributes to its complex sound and is not dominated by a single factor, for example the the batter head & resonant head exciting resonant frequencies, the depth & diameter of the drum determining the pitch and amplitude of the drum, also the lugs, sticks and bass hole (on a bass drum) all adding to the very complex sound that is perceived as one singular sound. They are not the problem in this equation but finding the resonant frequency the shell is to start the workings of the kit, now damping occurs by the density of the wood of course and all the other factors but the question i propose is; what equation can i do to determine a cylinders resonant frequency if their is given dimensions for that specific drum? Then to work out the rest of the equation once the other factors have been added? I know only basics of physics but I am certainly a quick learner. I just haven't found anything online that could point me in the right direction. Any help on this matter would be greatly appreciated & I would be happy to forward the paper onto the site aswell for critique and analysis for whom may be interested.