The Acoustic Pressure Radiated by a Vibrating Circular Plate within the Fraunhofer Zone of the Three-Wall Corner Region

Abstract

The Neumann boundary value problem has been solved for the region bounded by the three perfect rigid innite baes arranged perpendicularly to one another. The harmonically vibrating clamped circular plate embedded in one of the baes is the sound source. It has been assumed that the amplitude of the plate's transverse vibrations is small to use the linear KelvinVoigt theory. The Green function has been applied to obtain the asymptotic formulae describing the distribution of the acoustic pressure within the Fraunhofer zone. The analysis of sound radiation has been performed for some selected surface excitations and for some dierent plate's locations. The acoustic pressure distribution has been examined including the acoustic attenuation and the internal attenuation of the plate's material.

Advances in active control of machinery and device noise

“…A sound-radiating plate exhibits large variations of its amplitude response due to vibrating plate resonances, positions of actuators on the plate, and enclosure reverberant properties [25], [34], [35], [36]. Because of such complex amplitude responses, sound quality generated using the vibrating plate is rather poor.…”

Controllability-Oriented Placement of Actuators for Active Noise-Vibration Control of Rectangular Plates Using a Memetic Algorithm

“…The problem of actuators placement on a vibrating structure has been a point of interest in recent years. Their effect on sound radiation has been analysed by different authors (Górski, Kozupa, 2012;Leniowska, 2009;Szemela et al, 2012). Misplaced actuators may result in lack of controllability, which deteriorates the performance of the system.…”