Acoustic Influence on the Vibration of a Cylindrical Membrane Drum Filled with a Compressible Fluid

Abstract

The study of the dynamic behavior of a membrane in contact with a fluid is interesting due to the numerous applications in technology. The vibro-acoustic behavior of a circular membrane in a cylindrical container or a membrane drum filled with a nonviscous fluid is analyzed. A boundary element method is used and the acoustic pressure over the boundary is calculated employing the Kirchhoff’s integral equation and that with the equation of motion of the membrane, the natural frequencies of vibration are obtained. Furthermore, the effect of the drum height, drum radius, membrane material density, tension parameter and fluid density on the frequencies are evaluated, as well as the variation of the fluid mass coefficient with the wave number. Validation of the method is made comparing the results with those obtained by other authors and theories.