On the nonlinear theory of beams with open thin sections

Placido Cicala

Displaying similar documents to “On the nonlinear theory of beams with open thin sections”

On the nonlifiear theory of beams with open thin sections

Placido Cicala (1987)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Analysis of beam with thin open sections as cylindrical shells evidences restrictions of the Wagner-Vlasof theory: these mainly concern the fulfillment of end conditions. For the case of large deflections, the resultant equations from asymptotic analysis are presented. Their application to buckling under pure flexure shows various novel aspects. By a simple direct approach, investigation is pursued beyond the critical state: the buckled configuration turns out to be stable even for laxer...

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Critical case of multiple pairs of pure imaginary roots of a nonautonomous essentially nonlinear differential system.

Vitrichenko, I. (1997)

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Critical case of multiple pairs of pure imaginary roots of a nonautonomous essentially nonlinear $n$ th-order equation.

Vitrichenko, I. (1997)

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We investigate problems connected to the stability of the well-known Pohoˇzaev obstruction. We generalize results which were obtained in the minimizing setting by Brezis and Nirenberg [2] and more recently in the radial situation by Brezis and Willem [3].

Erratum on “Critical point theory for nonsmooth energy functionals and applications".

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Semiclassical states of nonlinear Schrödinger equations with bounded potentials

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Using some perturbation results in critical point theory, we prove that a class of nonlinear Schrödinger equations possesses semiclassical states that concentrate near the critical points of the potential $V$ .

The nonlinear instability modes of dished shallow shells under circular line loads.

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On families of trajectories of an analytic gradient vector field

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For an analytic function f:ℝⁿ,0 → ℝ,0 having a critical point at the origin, we describe the topological properties of the partition of the family of trajectories of the gradient equation ẋ = ∇f(x) attracted by the origin, given by characteristic exponents and asymptotic critical values.