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This paper presents a theoretical analysis of near‐field time‐averaged intensity and pressure distributions of actively controlled plate‐radiated sound. A harmonic point force was considered as a noise source, and a piezoelectric element bonded to the plate was applied as control actuator. A single microphone that measures sound pressures in the radiated acoustic far field serves as an error sensor. The optimal input voltage to the piezoelectric actuator is obtained by minimizing a quadratic cost function, defined as the mean square of the error sensor signal. The influence of the location of the error microphone on near‐field pressure and normal intensity was studied. Fourier transforms in the wave‐number domain are also used to study the mechanisms of control. This work provides a better understanding of the behavior inherent in controlling structurally radiated sound using piezoelectric actuators. In particular, an understanding of the near‐field behavior under closed loop control is inherent in the de...

Near-field pressure, intensity, and wave-number distributions for active structural acoustic control of plate radiation: Theoretical analysis