This paper develops a numerical method to analyze the membrane vibration of a membranophone with nonuniform heads, in which the density and tension vary smoothly. A spectral method is applied to numerically analyze the wave equation governing a membrane with spatially varying areal density and tension. An Indian drum tabla, representing nonuniform density, and a typical drum tom tom with several tension rods, representing nonuniform tension, are analyzed using the proposed numerical method to determine their eigenfrequencies and eigenmode shapes.
All Science Journal Classification (ASJC) codes
- Acoustics and Ultrasonics