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20132023
most citedModeling and stabilizability of voltage-actuated piezoelectric beams with magnetic effects

112 citations · 274 across the 13 of their papers we have counts for

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8 papers · 1 filter

math.AP2023

Boundary Output Feedback Stabilization for a Novel Magnetizable Piezoelectric Beam Model

Ahmet Ozkan Ozer, Uthman Rasaq, Ibrahim Khalilullah

A magnetizable piezoelectric beam model, free at both ends, is considered. Piezoelectric materials have a strong interaction of electromagnetic and acoustic waves, whose wave propa…

math.AP2023★ 1 cited

Stability Results for Novel Serially-connected Magnetizable Piezoelectric and Elastic Smart-System Designs

Mohammad Akil, Serge Nicaise, Ahmet Özkan Özer +1

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 de…

math.AP2015★ 12 cited

Modeling and semigroup formulation of charge or current-controlled active constrained layer (ACL) beams; electrostatic, quasi-static, and fully-dynamic assumptions

Ahmet Ozkan Ozer

A three-layer active constrained layer (ACL) beam model, consisting of a piezoelectric elastic layer, a stiff layer, and a constrained viscoelastic layer, is obtained for cantileve…

math.AP2015★ 46 cited

Modeling and controlling an active constrained layer (ACL) beam actuated by two voltage sources with/without magnetic effects

Ahmet Ozkan Ozer

A fully dynamic three-layer active constrained layer (ACL) beam is modeled for cantilevered boundary conditions by using a thorough variational approach. The Rao-Nakra thin complia…

math.AP2014★ 3 cited

Modeling an elastic beam with piezoelectric patches by including magnetic effects

A. O. Ozer, K. A. Morris

Models for piezoelectric beams using Euler-Bernoulli small displacement theory predict the dynamics of slender beams at the low frequency accurately but are insufficient for beams…

math.AP2014★ 43 cited

Exact boundary controllability results for a multilayer Rao-Nakra sandwich beam

A. Ozkan Ozer, Scott W. Hansen

We study the boundary controllability problem for a multilayer Rao-Nakra sandwich beam. This beam model consists of a Rayleigh beam coupled with a number of wave equations. We cons…

math.AP2013★ 112 cited

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

K. A. Morris, A. O. Ozer

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…

math.AP2013★ 45 cited

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

Ahmet Ozkan Ozer

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…