Vibro-acoustic characteristics of an annular disk with narrow radial slots

Abstract

Analytical solutions for vibro-acoustic characteristics of a thin annular disk containing narrow radial slots have been proposed with numerical and limited experimental verifications. Structural characteristics of split and repeated modes of the disk are expressed in terms of eigensolutions for the corresponding uniform disk that has same geometric configuration. Sound radiations due to the modal vibrations are calculated using pre-developed analytical solution based on the structural data obtained above. Structural and acoustic responses of the disk for a stationary concentrated harmonic force have been studied using the modal expansion technique. Based on these results, the effects of relative location of the excitation to the slots on the vibro-acoustic responses as well as interactions between sound radiations for two split modes are investigated. The results demonstrate that the introduced procedure has reasonable accuracy obtaining vibro-acoustic characteristics of a thin annular disk containing narrow radial slots.