How to characterize the acoustics of a bamboo stringed musical instrument?
If it does have a hole, and thus resemble the many bowed and plucked musical instrumens with a hole, models from these instruments might be used.
If it does have a hole, it will show elastic Helmholz action and interaction with other «breathing modes» of the instrument. The three first resonaces may be explained by this. The next ones becomes more complex and at some point the curvature effect diminishes and the bamboo behave like a flat plate. In the lower frequencies, below the «ring frequency» th curved walls will stiffen the body as compared to a flat plate version of the insturment, push up the resonance frequencies and to some extent mute the amplitudes of the insturment.
A detailed model is likely to be complex, and it matters what it is intended for. I recommend reading Jim Woodhouses articles on the violin and the guitar. He has also written and investigated older string insturments, mainly plucked ones. Maybe Kristensens four mass model on the guitar could be used? The article was published in JASA in the late 80ties or early 90ties.
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