Large Oscillations Around Curled Equilibrium Configurations of Uniformly Loaded Euler-Bernoulli Beams: Numerical and Experimental Evidences
Large Oscillations Around Curled Equilibrium Configurations of Uniformly Loaded Euler-Bernoulli Beams: Numerical and Experimental Evidences
- In Recent Developments in the Theory of Shells. Springer, Cham., p.65-78, 2019 .
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.
NONLINEAR BEAM
HENCKY BAR-CHAIN
DISCRETE MODELLING
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.
NONLINEAR BEAM
HENCKY BAR-CHAIN
DISCRETE MODELLING