Cluster power flow control of a distributed-parameter planar structure for generating a vibration-free zone

摘要

To generate a vibration-free zone in a designated region of a structure, cluster power flow control is presented. Unlike conventional modal-based vibration control, mainly used for augmenting structural damping, active wave control can render all the vibration modes inactive; the gain characteristic of a forced vibration response converges to the asymptote-to a far greater extent than augmenting structural damping; however, progressive waves still remain. Power flow control, advanced active wave control, allows the generation of a vibration-free zone when properly configured to handle all the governing structural variables. To implement power flow control, cluster control is introduced, which guarantees unconditional stability of a feedback system. To evaluate the vibration-free state, a vibration intensity is introduced; however, as a result of suppressing the vibration intensity, two extreme phenomena arise: suppression or excitation of structural modes. To overcome this problem, minimization of the dominant structural variables that are the counterparts of the vibration intensity elements is set up, with the result that a vibration-free zone is generated, together with the suppression of the vibration intensity. A numerical analysis is then conducted, followed by an experiment, demonstrating the capability of the proposed method for generating a vibration-free zone.