Active Vibration Control of Elastically Connected Double-Beam Systems

Abstract

This paper presents an active control structure and corresponding active control algorithm to suppress the vibration and reduce the dynamic response of an elastically connected double-beam system subjected to excitation loads. Because the double-beam system consists of two beams with an elastic layer in between, a distributed control structure is proposed, which adopts actuators along the elastic layer and acts on the two beams at the same time. An active control algorithm that synthesizes independent modal space control (IMSC) and a linear quadratic regulator (LQR) is developed for the proposed active control structure. The application of IMSC transfers the coupling equations of motion for the double-beam system with active control to the decoupled equations in modal space and makes the vibration control act on each mode. The adoption of LQR allows calculation of the active control forces in the modal domain, which further determines the applied control force in the physical space. Numerical examples are demonstrated to verify the efficiency of the proposed active control, which has great potential for application in future engineering practices.