Thin elastic shells are almost inextensible but easy to bend. In the presence of prestresses, geometric frustrations can produce complex elastic energetic landscapes, which have been tailored for the design of morphing structures with multiple stable equilibria or neutrally stable manifolds. We show that the co-existence of stiff and floppy modes leads to unexploited dynamical features. We build a neutrally stable cylindrical shell that under dynamical excitation alternates a chaotic behavior with a surprisingly regular regimes with a continuous precession of the curvature axis at a constant speed. We explain the experimental findings with a minimal model, showing how the intriguing dynamics is due to the subtle coupling between the prestress, geometrical nonlinearity, material anisotropy and inertial effects. Our results shed a new light on morphing structures dynamics and can be exploited in engineering applications such as energy harvesting.

Chaotic and regular dynamics of a morphing shell with a vanishing-stiffness mode / Chibbaro, S.; Hamouche, W.; Maurini, C.; Vidoli, S.; Vincenti, A.. - In: EXTREME MECHANICS LETTERS. - ISSN 2352-4316. - 54:(2022). [10.1016/j.eml.2022.101755]

Chaotic and regular dynamics of a morphing shell with a vanishing-stiffness mode

Vidoli S.;
2022

Abstract

Thin elastic shells are almost inextensible but easy to bend. In the presence of prestresses, geometric frustrations can produce complex elastic energetic landscapes, which have been tailored for the design of morphing structures with multiple stable equilibria or neutrally stable manifolds. We show that the co-existence of stiff and floppy modes leads to unexploited dynamical features. We build a neutrally stable cylindrical shell that under dynamical excitation alternates a chaotic behavior with a surprisingly regular regimes with a continuous precession of the curvature axis at a constant speed. We explain the experimental findings with a minimal model, showing how the intriguing dynamics is due to the subtle coupling between the prestress, geometrical nonlinearity, material anisotropy and inertial effects. Our results shed a new light on morphing structures dynamics and can be exploited in engineering applications such as energy harvesting.
2022
Shell Multistability Nonlinear dynamics Vanishing stiffness Chaos
01 Pubblicazione su rivista::01a Articolo in rivista
Chaotic and regular dynamics of a morphing shell with a vanishing-stiffness mode / Chibbaro, S.; Hamouche, W.; Maurini, C.; Vidoli, S.; Vincenti, A.. - In: EXTREME MECHANICS LETTERS. - ISSN 2352-4316. - 54:(2022). [10.1016/j.eml.2022.101755]
File allegati a questo prodotto
File Dimensione Formato  
Chibarro_Chaotic_2022.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 1.39 MB
Formato Adobe PDF
1.39 MB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1682407
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact