Transient Acoustic Radiation from an Impacted Ring

Abstract

Transient acoustic radiation from a ring of rectangular cross section impacted by a sphere is investigated. In-plane movement of a ring is considered, and by modelling the ring as a series of contiguous doublet sources and by introducting a time dependent expression for sound radiation from a doublet source, a time history of the total sound pressure at a point is obtained by summation of the sound pressure from each doublet source. The impact sound is due to the forced vibration of the ring, and transient vibration response of the ring impacted by a sphere is analyzed by utilizing the Hertz contact theory. Theoretical results for time dependent sound radiation almost agree with those of experiments when the width of the ring cross section is moderately small.