Impédance d'une plaque élastique reliée en trois points à un support rigide vibrant
Incompressibility in rod and shell theories
Incompressibility in Rod and Shell Theories
We treat the problem of constructing exact theories of rods and shells for thin incompressible bodies. We employ a systematic method that consists in imposing constraints to reduce the number of degrees of freedom of each cross section to a finite number. We show that it is very difficult to produce theories that exactly preserve the incompressibility and we show that it is impossible to do so for naive theories. In particular, many exact theories have nonlocal effects.
Indipendenza dal modulo di Poisson degli stati elastici di una piastra sottile
Per il problema elastostatico della piastra sottile inflessa con dati al bordo generalizzati, si determinano le condizioni di indipendenza parziale o totale dal modulo di Poisson dello stato elastico soluzione.
Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan-Taylor damping.
Ingham type theorems and applications to control theory
Ingham [6] ha migliorato un risultato precedente di Wiener [23] sulle serie di Fourier non armoniche. Modificando la sua funzione di peso noi otteniamo risultati ottimali, migliorando precedenti teoremi di Kahane [9], Castro e Zuazua [3], Jaffard, Tucsnak e Zuazua [7] e di Ullrich [21]. Applichiamo poi questi risultati a problemi di osservabilità simultanea.
Ingham-type inequalities and Riesz bases of divided differences
We study linear combinations of exponentials e^{iλ_nt} , λ_n ∈ Λ in the case where the distance between some points λ_n tends to zero. We suppose that the sequence Λ is a finite union of uniformly discrete sequences. In (Avdonin and Ivanov, 2001), necessary and sufficient conditions were given for the family of divided differences of exponentials to form a Riesz basis in space L^2 (0,T). Here we prove that if the upper uniform density of Λ is less than T/(2π), the family of divided differences can...
Inhomogeneous boundary value problems for the von Kármán equations. II
Inhomogeneous boundary value problems for the von Kármán equations. I
Integral representations for the solution of dynamic bending of a plate with displacement-traction boundary data.
Integrazione del problema dell'elastostatica nel caso asimmetrico e con coppie di contatto. Applicazione al problema delle piastre
Integrazione del problema dell'elastostatica nel caso asimmetrico e con coppie di contatto. Applicazione al problema delle piastre. IIa parte
Invariant integrals for the equilibrium problem for a plate with a crack.
Investigation of two-dimensional models of elastic prismatic shell.
Jumping nonlinearities and mathematical models of suspension bridge
Junction of elastic plates and beams
We consider the linearized elasticity system in a multidomain of . This multidomain is the union of a horizontal plate with fixed cross section and small thickness ε, and of a vertical beam with fixed height and small cross section of radius . The lateral boundary of the plate and the top of the beam are assumed to be clamped. When ε and tend to zero simultaneously, with , we identify the limit problem. This limit problem involves six junction conditions.
Justification de modèles de plaques non linéaires pour des lois de comportement générales
Justification d'un modèle linéaire bi-dimensionnel de coques «faiblement courbées» en coordonnées curvilignes
Kirchhoff-Carrier elastic strings in noncylindrical domains.
Koiter shell governed by strongly monotone constitutive equations
In this paper we use the theory of monotone operators to generalize the linear shell model presented in (Blouza and Le Dret, 1999) to a class of physically nonlinear models. We present a family of nonlinear constitutive equations, for which we prove the existence and uniqueness of the solution of the presented nonlinear model, as well as the convergence of the Galerkin method. We also present the physical discussion of the model.