Stabilization of a hybrid system: An overhead crane with beam model.
Stabilization of Berger–Timoshenko’s equation as limit of the uniform stabilization of the von Kármán system of beams and plates
We consider a dynamical one-dimensional nonlinear von Kármán model for beams depending on a parameter and study its asymptotic behavior for large, as . Introducing appropriate damping mechanisms we show that the energy of solutions of the corresponding damped models decay exponentially uniformly with respect to the parameter . In order for this to be true the damping mechanism has to have the appropriate scale with respect to . In the limit as we obtain damped Berger–Timoshenko beam models...
Stabilization of Berger–Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates
We consider a dynamical one-dimensional nonlinear von Kármán model for beams depending on a parameter ε > 0 and study its asymptotic behavior for t large, as ε → 0. Introducing appropriate damping mechanisms we show that the energy of solutions of the corresponding damped models decay exponentially uniformly with respect to the parameter ε. In order for this to be true the damping mechanism has to have the appropriate scale with respect to ε. In the limit as ε → 0 we obtain damped Berger–Timoshenko...
Stabilization of Timoshenko beam by means of pointwise controls
We intend to conduct a fairly complete study on Timoshenko beams with pointwise feedback controls and seek to obtain information about the eigenvalues, eigenfunctions, Riesz-Basis-Property, spectrum-determined-growth-condition, energy decay rate and various stabilities for the beams. One major difficulty of the present problem is the non-simplicity of the eigenvalues. In fact, we shall indicate in this paper situations where the multiplicity of the eigenvalues is at least two. We build all the above-mentioned...
Stabilization of Timoshenko Beam by Means of Pointwise Controls
We intend to conduct a fairly complete study on Timoshenko beams with pointwise feedback controls and seek to obtain information about the eigenvalues, eigenfunctions, Riesz-Basis-Property, spectrum-determined-growth-condition, energy decay rate and various stabilities for the beams. One major difficulty of the present problem is the non-simplicity of the eigenvalues. In fact, we shall indicate in this paper situations where the multiplicity of the eigenvalues is at least two. We build all the...
Stable and unstable bifurcation in the von Kármán problem for a circular plate.
Statical moments of exact and approximate profiles of air springs
Strong solutions of nonlinear equations of vibrations of shells
Study of the optimal control for a problem of elastic torsion. (Étude du contrôle optimal pour un problème de torsion élastique.)
Su l'esistenza della soluzione per la flessione delle piastre elastiche micropolari
Sul problema di contatto tra piastre
Si studia il problema di contatto tra due piastre sottili linearmente elastiche, incastrate al bordo, poste inizialmente a distanza e trasversalmente caricate. Si fa l'ipotesi che il contatto tra le due piastre, a deformazione avvenuta, sia privo di attrito. Il problema dell'equilibrio elastico è formulato per via variazionale in termini di lavori virtuali o, equivalentemente, di minimo del funzionale dell'energia. Il quadro analitico di riferimento è quello della teoria delle disequazioni variazionali...
Sulla flessione elastica delle travi in c.a. in presenza di fessurazione
Viene formulata una teoria della flessione delle travi in cemento armato in presenza di fessurazione. Si esamina l’effetto del «tension stiffening» e, attraverso un processo di omogeneizzazione, si valuta la curvatura media tra le fessure. Si perviene così all’equazione differenziale della flessione elastica delle travi fessurate. Le applicazioni numeriche svolte vengono confrontate con le risultanze sperimentali.
Sur la contrôlabilité exacte de l'équation des plaques vibrantes.
We define, for the trace of solution of vibrating plates equation, norms with initial conditions in no regular spaces. Then, we give the corresponding exact controllability results.
Sur la convergence des méthodes d'éléments finis nonconformes pour des problèmes linéaires de coques minces.
Sur la solution d'un problème de la plaque
Sur un problème d'optimisation ou la contrainte porte sur la fréquence fondamentale
Symmetric equilibria for a beam with a nonlinear elastic foundation.
Symmetry in rearrangement optimization problems.