Control of a Vibrating Axisymmetric Membrane using Piezoelectric Transducers

Abstract In this paper, the problem of the active vibration control of a thin and flexible disc is addressed. The mechanical structure tackled here is equipped with two piezoelectric circular patches: one of them works as a sensor and the other is used as an actuator. Both are fixed on the disc, one on each side, and centered according to its axis of symmetry. The purpose of this work is to design a controller allowing the active damping of the most vibrating modes in a specified bandwidth. Robustness issues against neglected dynamics are discussed. After describing the problem, we first discuss on the model properties, derived from a finite element analysis, particularly about the structure's symmetry consequences. Then, we propose a control method leading to the reduction of several modes of vibration. Numerical simulations are proposed to analyze the modelling and the vibration control efficiency.