Radiation and Response of Cylindrical Beams Excited by Sound

Abstract

The sound radiated from an unbaffled cylindrical beam vibrating transversely at resonance is calculated by solution of the classical wave equation subject to the boundary conditions imposed by the motion of the beam. The interaction of sound and vibration is then demonstrated by using a theory based on the principle of reciprocity to predict the resonant response of a cylindrical beam to acoustic excitation. The results show that radiation and resonant response are highly frequency dependent. An experimental program is also reported. The power radiated from three cylindrical beams vibrating at resonance and the resonant response of the beams to pure-tone acoustic excitation are measured in a reverberation chamber. The experimental results agree well with the theoretical predictions.