Abstract
Difficulty in controlling the vibration of a distributed-parameter structure lines in an infinite number of structural modes it has, causing spillover destabilization of the control system.To overcome this problem, this paper propose a novel active vibration control methodology termed"cluster control"that permits the suppression of all structural modes belonging to the cluster of interest.First, it is mathematically verified that every eigenfunction of a two-dimensional structure can be expressed in a form of the"(m, n)modes", m and n being modal indices.Then, a cluster filtering method is introduced, whereby all eigenfunctions are divided into a finite number of groups(clusters), each member of the group retaining the same characteristics in common.By verifying the reciprocity of sensing and actuation of a structure, a cluster actuation method is then introduced, enabling excitation of the eigenfunctions of a targeted cluster without affecting any repercussion on the other clusters.Moreover the cluster control method consisting of both the cluster filtering and actuation is presented, allowing suppression of all structural modes of the targeted cluster without causing instability of the control system .Finally, an experiment demonstrates the validity of the proposed method for suppressing all vibration modes of a cluster.
