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Control of Sound Radiation from Thin Plates

The problem of active control of sound radiated by thin plates using arrays of spatially discrete piezoceramic sensors and actuators is addressed. A general methodology for the design of active structural acoustic controllers is presented. This methodology utilizes finite element modeling as a generic tool to perform structural discretization. The sound radiation mechanism is assumed to be that of structural bending waves in thin-walled structures. The discretized structure including the sensors and actuators is presented in state-space. The sound radiated by the structure into the far field is expressed as a quadratic form of the system states. This formulation is used to define the acoustic performance specification in a T^oo controller design setup. The methodology is applied to a plate equipped with three sensor/actuator pairs in a rigid baffle excited by a persistent external force. The controller performance is evaluated using numerical simulations. This performance is compared with controllers designed to attenuate structural vibrations. It is shown that the sound radiated by the plate into the farfield is more effectively controlled and reduced by dedicated acoustic controllers than by controllers designed to attenuate structural vibration.