Asymptotic behavior of weakly dissipative Bresse‐Timoshenko system on influence of the second spectrum of frequency

DS Almeida Júnior, AJA Ramos… - ZAMM‐Journal of …, 2018 - Wiley Online Library
In the present work, we consider a dissipative Bresse‐Timoshenko type system, which is
free of physical anomaly know as second spectrum of frequency according important …

Boundary cooperative control by flexible Timoshenko arms

T Endo, F Matsuno, Y Jia - Automatica, 2017 - Elsevier
This paper discusses a cooperative control problem by two one-link flexible Timoshenko
arms. The goal is to control a grasping force to collect an object with the two flexible arms …

[HTML][HTML] Laminated Timoshenko beams with viscoelastic damping

MI Mustafa - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In this paper we consider a viscoelastic laminated beam model. This structure is given by
two identical uniform layers on top of each other, taking into account that an adhesive of …

On the decay rates of porous elastic systems

ML Santos, ADS Campelo, DS Almeida Junior - Journal of Elasticity, 2017 - Springer
In this paper we analyze the porous elastic system. We show that viscoelasticity is not strong
enough to make the solutions decay in an exponential way, independently of any …

Well‐posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks

B Feng - Mathematical Methods in the Applied Sciences, 2018 - Wiley Online Library
This paper is concerned with laminated beams modeled from the well‐established
Timoshenko system with time delays and boundary feedbacks. By using semigroup method …

The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: the time delay cases

DS Almeida Júnior, I Elishakoff… - IMA Journal of …, 2019 - academic.oup.com
In the current study, we consider the Bresse–Timoshenko type systems and we prove some
stability results for time delay cases into setting of so called simplified Bresse–Timoshenko …

Boundary control of laminated beams with interfacial slip

MI Mustafa - Journal of Mathematical Physics, 2018 - pubs.aip.org
In this paper, we consider a laminated beam model. This structure is given by two identical
uniform layers on top of each other, taking into account that an adhesive of small thickness is …

Uniform decay in weakly dissipative Timoshenko system with internal distributed delay feedbacks

TA Apalara - Acta Mathematica Scientia, 2016 - Elsevier
In this paper we consider one-dimensional Timoshenko system with linear frictional
damping and a distributed delay acting on the displacement equation. Under suitable …

On the nature of dissipative Timoshenko systems at light of the second spectrum of frequency

DS Almeida Júnior, AJA Ramos - Zeitschrift für angewandte Mathematik …, 2017 - Springer
In the present work, we prove that there exists a relation between a physical inconsistence
known as second spectrum of frequency or non-physical spectrum and the exponential …

Rates of decay for porous elastic system weakly dissipative

ML Santos, ADS Campelo… - Acta Applicandae …, 2017 - Springer
In this work we are considering the porous elastic system with porous elastic dissipation and
with elastic dissipation. Our main result is to show that the corresponding semigroup is …