Modeling and stabilizability of voltage-actuated piezoelectric beams with magnetic effects

KA Morris, AO Özer - SIAM Journal on Control and Optimization, 2014 - SIAM
Models for piezoelectric beams and structures with piezoelectric patches generally ignore
magnetic effects. This is because the magnetic energy has a relatively small effect on the …

Equivalence between exponential stabilization and boundary observability for piezoelectric beams with magnetic effect

AJA Ramos, MM Freitas, DS Almeida, SS Jesus… - … Mathematik und Physik, 2019 - Springer
In this paper, we study a one-dimensional dissipative system of piezoelectric beams with
magnetic effect, based on the work of Morris and Özer (in: The proceedings of 52nd IEEE …

Stability of piezoelectric beam with magnetic effect under (coleman or pipkin)–gurtin thermal law

M Akil - Zeitschrift für angewandte Mathematik und Physik, 2022 - Springer
In this paper, we investigate the stabilization of a system of piezoelectric beams under
(Coleman or Pipkin)–Gurtin thermal law with magnetic effect. First, we study the piezoelectric …

Exponential stability and numerical treatment for piezoelectric beams with magnetic effect

AJA Ramos, CSL Gonçalves… - … Modelling and Numerical …, 2018 - numdam.org
In this paper, we consider a one-dimensional dissipative system of piezoelectric beams with
magnetic effect, inspired by the model studied by Morris and Özer (Proc. of 52nd IEEE …

A port-Hamiltonian model of liquid sloshing in moving containers and application to a fluid-structure system

FL Cardoso-Ribeiro, D Matignon… - Journal of Fluids and …, 2017 - Elsevier
This work is motivated by an aeronautical issue: the fuel sloshing in the tank coupled with
very flexible wings. Vibrations due to these coupled phenomena can lead to problems like …

[PDF][PDF] Dynamics of piezoelectric beams with magnetic effects and delay term

MM Freitas, AJA Ramos, MJ Dos Santos… - Evol. Equ. Control …, 2022 - researchgate.net
In this paper, we consider a piezoelectric beams system with magnetic effects and delay
term. We study its long-time behavior through the associated dynamical system. We prove …

Energy decay for a weakly nonlinear damped piezoelectric beams with magnetic effects and a nonlinear delay term

A Soufyane, M Afilal, ML Santos - Zeitschrift für angewandte Mathematik …, 2021 - Springer
This paper considers a one-dimensional piezoelectric beams with magnetic effect damped
with a weakly nonlinear feedback in the presence of a nonlinear delay term. Under …

Stability results for novel serially-connected magnetizable piezoelectric and elastic smart-system designs

M Akil, S Nicaise, AÖ Özer, V Régnier - Applied Mathematics & …, 2024 - Springer
In this paper, the stability of longitudinal vibrations for transmission problems of two smart-
system designs are studied:(i) a serially-connected elastic–piezoelectric–elastic design with …

Stability and eigenvalue asymptotics of multi-Dimensional fully magnetic effected piezoelectric system with friction-type infinite memory

HE Zhang, GQ Xu, ZJ Han - SIAM Journal on Applied Mathematics, 2023 - SIAM
The long time behavior of a kind of fully magnetic effected piezoelectric system is
considered. The impact of the presence of only one friction-type infinite memory term on the …

Further stabilization and exact observability results for voltage-actuated piezoelectric beams with magnetic effects

AÖ Özer - Mathematics of Control, Signals, and Systems, 2015 - Springer
It is well known that magnetic energy of the piezoelectric beam is relatively small, and it does
not change the overall dynamics. Therefore, the models, relying on electrostatic or quasi …