The theory of flutter instability in structures and solids is presented, starting from the illuminating case of the Ziegler double pendulum, continuing with the Beck and Pflüger columns, and ending with the conditions for flutter in solids, considering in particular nonassociative elastoplastic models for granular and rock-like materials. The role of dissipation, leading to the so-called ‘Ziegler paradox’ is presented in detail. It is explained how to obtain a tangential follower load in a structure by exploiting Coulomb friction and it is shown that structures working in a flutter condition can reach a limit cycle, in which they behave as self-oscillating devices.

Flutter from friction in solids and structures / Bigoni, D.. - 586:(2019), pp. 1-61. [10.1007/978-3-319-93722-9_1]

Flutter from friction in solids and structures

Bigoni D.
2019-01-01

Abstract

The theory of flutter instability in structures and solids is presented, starting from the illuminating case of the Ziegler double pendulum, continuing with the Beck and Pflüger columns, and ending with the conditions for flutter in solids, considering in particular nonassociative elastoplastic models for granular and rock-like materials. The role of dissipation, leading to the so-called ‘Ziegler paradox’ is presented in detail. It is explained how to obtain a tangential follower load in a structure by exploiting Coulomb friction and it is shown that structures working in a flutter condition can reach a limit cycle, in which they behave as self-oscillating devices.
2019
Dynamic Stability and Bifurcation in Nonconservative Mechanics
Cham, Switzerland
Springer International Publishing
978-3-319-93721-2
978-3-319-93722-9
Bigoni, D.
Flutter from friction in solids and structures / Bigoni, D.. - 586:(2019), pp. 1-61. [10.1007/978-3-319-93722-9_1]
File in questo prodotto:
File Dimensione Formato  
2019_Book_DynamicStabilityAndBifurcation.pdf

Solo gestori archivio

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 7.44 MB
Formato Adobe PDF
7.44 MB Adobe PDF   Visualizza/Apri

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/11572/255266
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? ND
social impact