Piezoelectric beams with magnetic effect and localized damping
Mounir Afilal, Département de Mathématiques et Informatique, Faculté Polydisciplinaire de Safi, Université Cadi Ayyad, Maroc, Abdelaziz Soufyane, Mauro de Lima Santos
Abstract
In this work we are considering a one-dimensional dissipative system of piezoelectric beams with magnetic effect and localized damping. We prove that the system is exponential stable using a damping mechanism acting only on one component and on a small part of the beam.
Topics & Concepts
Dissipative systemMagnetic dampingBeam (structure)PhysicsWork (physics)PiezoelectricityComponent (thermodynamics)Exponential functionClassical mechanicsCondensed matter physicsAcousticsQuantum mechanicsOpticsMathematical analysisVibrationMathematicsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Dynamics and Pattern Formation