🥁 Kettledrum Membrane: Bessel Modes, Strike Point and Air-Loaded Pitch (2D)

Top view and cross-section of a struck circular drum head, built from its vibration modes. Set the head radius, tension, skin density, strike position, air loading and ring-out time, and see the mode shapes, the overtone ratios, the pitch and which overtones the strike excites. Bessel zeros, orthogonality and the frequency of a wave simulation are checked numerically, with four in-page numerical checks.