Sparse optimal control of Timoshenko's beam using a locking‐free finite element approximation

E Hernández, P Merino - Optimal Control Applications and …, 2024 - Wiley Online Library
This paper addresses the optimal control problem with sparse controls of a Timoshenko
beam, its numerical approximation using the finite element method, and the numerical …

[HTML][HTML] Locking-free finite element method for a bending moment formulation of Timoshenko beams

F Lepe, D Mora, R Rodríguez - Computers & Mathematics with Applications, 2014 - Elsevier
In this paper we study a finite element formulation for Timoshenko beams. It is known that
standard finite elements applied to this model lead to wrong results when the thickness of …

[HTML][HTML] Modelling of thin viscoelastic shell structures under Reissner–Mindlin kinematic assumption

E Hernandez, C Naranjo, J Vello** - Applied Mathematical Modelling, 2020 - Elsevier
In this paper, we study thin viscoelastic shell structures using a constitutive equation in
hereditary integral form. An alternative mathematical formulations for several viscoelastic …

A locking-free FEM in active vibration control of a Timoshenko beam

E Hernández, E Otárola - SIAM journal on numerical analysis, 2009 - SIAM
In this paper we analyze the numerical approximation of an active vibration control problem
of a Timoshenko beam. In order to avoid locking, we focus on the finite element method …

[HTML][HTML] A locking-free scheme for the LQR control of a Timoshenko beam

E Hernández, D Kalise, E Otárola - Journal of computational and applied …, 2011 - Elsevier
In this paper we analyze a locking-free numerical scheme for the LQR control of a
Timoshenko beam. We consider a non-conforming finite element discretization of the system …

Finite element analysis of a bending moment formulation for the vibration problem of a non-homogeneous Timoshenko beam

F Lepe, D Mora, R Rodríguez - Journal of Scientific Computing, 2016 - Springer
In this paper we analyze a low-order finite element method for approximating the vibration
frequencies and modes of a non-homogeneous Timoshenko beam. We consider a …

A locking-free finite element method for the buckling problem of a non-homogeneous Timoshenko beam

C Lovadina, D Mora, R Rodríguez - ESAIM: Mathematical Modelling …, 2011 - cambridge.org
The aim of this paper is to develop a finite element method which allows computing the
buckling coefficients and modes of a non-homogeneous Timoshenko beam. Studying the …

A mixed parameter formulation with applications to linear viscoelasticity

E Hernández, F Lepe, J Vello** - arxiv preprint arxiv:2011.10636, 2020 - arxiv.org
In this work we propose and analyze an abstract parameter dependent model written as a
mixed variational formulation based on Volterra integrals of second kind. For the analysis …

A superconvergent scheme for a locking‐free FEM in a Timoshenko optimal control problem

E Hernández, E Otárola - ZAMM‐Journal of Applied …, 2011 - Wiley Online Library
In this work we analyze the numerical approximation of an optimal control problem of a
Timoshenko beam, by considering two kinds of distributed control. The discretization of the …

[HTML][HTML] Finite element approximation of the vibration problem for a Timoshenko curved rod

E Hernandez, E Otárola, R Rodriguez… - Revista de la Unión …, 2008 - SciELO Argentina
The aim of this paper is to analyze a mixed finite element method for computing the vibration
modes of a Timoshenko curved rod with arbitrary geometry. Optimal order error estimates …