This high-speed video shows a cymbal's response to impact. I'm interested in how the observed vibration relates to the modes and frequencies that an eigenvalue vibration analysis would predict. My interest is not specific to cymbals, the video just illustrates a point very well.
I suspect that since excitation frequency here is much higher than the fundamental frequency of the body, and displacements are very large, eigenvalue analysis is not appropriate. Is this reasoning correct?
My guess would be that the initial response to the impact is transient (wave propagation) and would eventually converge to the combination of modes predicted by the eigenvalue analysis. Is that correct? If so, what influences the speed of this convergence?