Section: New Results

Active vibration damping in a mechanical structures

Participants : Islam Boussaada, Silviu-Iulian Niculescu, Sami Tliba [Université Paris Sud] , Thomas Vyhlidal [Czech technical university in Prague] , Daniela Danciu [University of Craiova] .

In the work [13], an aluminium-based flexible structure embedded in a mobile support subjected to an acceleration is considered. Such a flexible beam is equipped with two piezoelectric patches. One of them is used as an actuator and the second acts as a sensor. These patches are supposed to be rigidly bounded on the beam, one on each side, located at the clamped edge. The whole device is called a piezo-actuated beam which is generally modeled by Euler-Bernoulli equations. Finite element modeling is then applied to reduce the PDE system to a linear finite-dimensional system. Then, the peak of resonance of the first bending mode is damped by using a delayed output-feedback controller, without affecting the neglected vibrating modes in the reduced order model. The proposed controller design is based on the spectral abscissa characterization using the multiplicity property.