Vibration Hybrid Control of Plate  with Controllable Constrained Damping Layer
X.N. Zhang¹  L. Chen¹  Z.M. Li²   J.H. Zhang¹
(1 Dept. of Eng. Mechanics, Xi'an Jiaotong University, 710049)
(2 Beijing, mailbox 9200-10-15,10076)

Abstract: Controllable constrained damping layer consists of a viscoelastic shear layer sandwiched between the structure to be dampened and a cover sheet which is attached with piezoelectric patches as an actuator. According to measured vibration response of the structure, a feedback controller regulates inª²plane deformation of piezoelectric patches to perform active control. In this paper, the vibration control of a plate with controllable constrained damping layer is studied. The governing equation is derived based on the constitutive equations of the elastic, viscoelastic, and piezoelectric materials, and deformation continuity conditions. It is theoretically shown that global piezoelectrc layer can be replaced with many pieces of little patch, which has no influence on the effect of the actuation and makes the manufacture of the actuator easy. A lower order governing equation is obtained by using Galerkin method and GHM method. Numerical simulation of the system is done in the case of using proportional feedback control. The hybrid control experiment of a cantilever plate with controllable constrained layeris completed. The numerical result is basically agreed with the test. The research shows that the hybrid control method studied in this paper is abetter way to  suppress structure vibration and is of wider control frequency range and better
reliability.
Keywords: plate, vibration control, hybrid control, reducing vibration, viscoelastic.