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

Djebar Baroudi, I Giorgio , E Turco

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

Abstract

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.
Original languageEnglish
Title of host publicationRecent Developments in the Theory of Shells
EditorsHolm Altenbach, Jacek Chróścielewski, Victor A. Eremeyev, Krzysztof Wiśniewski
Pages65-78
ISBN (Electronic)978-3-030-17747-8
DOIs
Publication statusPublished - 2019
MoE publication typeA3 Part of a book or another research book

Publication series

NameAdvanced Structured Materials
PublisherSpringer
Volume110

Keywords

  • Nonlinear beam
  • Hencky bar-chain
  • Discrete modelling

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