Active control of resiliently-mounted beams with a moment pair actuator

Hong, C. and Elliott, S.J. (2005) Active control of resiliently-mounted beams with a moment pair actuator. Smart Materials and Structures, 14, 727-38. (doi:10.1088/0964-1726/14/4/031).

Record type: Article

Abstract

Various strategies are considered for the active control of a flexible beam, mounted on springs at either end. As the spring stiffness is decreased from an infinite value to zero, the boundary conditions of the beam change from being simply supported to being free–free, and a rich variety of behaviour is observed. Feedforward control of either the beam's kinetic energy or radiated sound power using a moment pair actuator is considered first. It is found that for small spring stiffness minimization of radiated sound power leads to significant increases in overall beam vibration.
The stability and performance of feedback controllers is then considered. It is found that using a moment pair actuator and a velocity sensor the feedback controller is only conditionally stable, particularly when the actuator and the sensor are close to the ends of the beam and the supporting stiffness is small. The reductions in sound and vibration are small under these conditions.

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