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Large Oscillations Around Curled Equilibrium Configurations of Uniformly Loaded Euler-Bernoulli Beams: Numerical and Experimental Evidences

Tipo de material: TextoTextoSeries ; In Recent Developments in the Theory of Shells. Springer, Cham., p.65-78, 2019Trabajos contenidos:
  • Baroudi, D
  • Giorgio, I
  • Turco, E
Tema(s): Recursos en línea: Resumen: In this paper, we show that equilibrium configurations of a clamped beam under distributed load, resembling a curled pending wire-whose existence has been mathematically established-can be obtained experimentally using 'soft' beams, i.e. beams for which the ratio between amplitude of the load and bending stiffness is large enough. Moreover, we introduce a Hencky-type discrete model, i.e. a finite dimensional Lagrangian model, for the 'soft' Elastica and build a numerical code for determining its motion, in the most general nonlinear regime. This code is able to qualitatively describe observed nonlinear dynamical behavior.
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In this paper, we show that equilibrium configurations of a clamped beam under distributed load, resembling a curled pending wire-whose existence has been mathematically established-can be obtained experimentally using 'soft' beams, i.e. beams for which the ratio between amplitude of the load and bending stiffness is large enough. Moreover, we introduce a Hencky-type discrete model, i.e. a finite dimensional Lagrangian model, for the 'soft' Elastica and build a numerical code for determining its motion, in the most general nonlinear regime. This code is able to qualitatively describe observed nonlinear dynamical behavior.

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