Peltier effect of superconductor-semiconductor mesoscopic device.
Periodic solutions of a piecewise linear beam equation damping and nonconstant load.
Periodic solutions of nonlinear vibrating beams.
Periodic vibrations of an extensible beam
Periodically forced damped beams resting on nonlinear elastic bearings
Pointwise and spectral control of plate vibrations.
We consider the problem of controlling pointwise (by means of a time dependent Dirac measure supported by a given point) the motion of a vibrating plate Ω. Under general boundary conditions, including the special cases of simply supported or clamped plates, but of course excluding the cases where multiple eigenvalues exist for the biharmonic operator, we show the controlability of finite linear combinations of the eigenfunctions at any point of Ω where no eigenfunction vanishes at any time greater...
Positive solutions for some beam equation boundary value problems.
Positive solutions to a class of elastic beam equations with semipositone nonlinearity
Let h ∈ L¹[0,1] ∩ C(0,1) be nonnegative and f(t,u,v) + h(t) ≥ 0. We study the existence and multiplicity of positive solutions for the nonlinear fourth-order two-point boundary value problem , 0 < t < 1, u(0) = u’(0) = u’(1) =u”’(1) =0, where the nonlinear term f(t,u,v) may be singular at t=0 and t=1. By constructing a suitable cone and integrating certain height functions of f(t,u,v) on some bounded sets, several new results are obtained. In mechanics, the problem models the deflection of...
Post-buckling range of plates in axial compression with uncertain initial geometric imperfections
The method of reliable solutions alias the worst scenario method is applied to the problem of von Kármán equations with uncertain initial deflection. Assuming two-mode initial and total deflections and using Galerkin approximations, the analysis leads to a system of two nonlinear algebraic equations with one or two uncertain parameters-amplitudes of initial deflections. Numerical examples involve (i) minimization of lower buckling loads and (ii) maximization of the maximal mean reduced stress.
Preconditioning discrete approximations of the Reissner-Mindlin plate model
Prise en compte d'une force linéique de frontière dans un modèle de plaques de Hencky comportant une non-linéarité géométrique
Problème de Riemann généralisé pour une sorte de systémes des cables
Problèmes variationnels non convexes en dualité (Équation des coques ; systèmes gyroscopiques)
Problems of interaction of vibrating surfaces with processable materials.
Progressive crushing of plastic cylindrical shells under axial impact.
Pružné průhyby konsolové desky zatížené osamělou silou v obecném bodě
Punktweise Konvergenz der Methode der finiten Elemente beim Plattenproblem.