Bifurcation and chaos of a flag in an inviscid flow

Ming Chen, Lai-Bing Jia, Yan-Feng Wu, Xie-Zhen Yin, Yan-Bao Ma

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16 Citations (Scopus)
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Abstract

A two-dimensional model is developed to study the flutter instability of a flag immersed in an inviscid flow. Two dimensionless parameters governing the system are the structure-to-fluid mass ratio M and the dimensionless incoming flow velocity U. A transition from a static steady state to a chaotic state is investigated at a fixed M=1 with increasing U. Five single-frequency periodic flapping states are identified along the route, including four symmetrical oscillation states and one asymmetrical oscillation state. For the symmetrical states, the oscillation frequency increases with the increase of U, and the drag force on the flag changes linearly with the Strouhal number. Chaotic states are observed when U is relatively large. Three chaotic windows are observed along the route. In addition, the system transitions from one periodic state to another through either period-doubling bifurcations or quasi-periodic bifurcations, and it transitions from a periodic state to a chaotic state through quasi-periodic bifurcations.
Original languageEnglish
Pages (from-to)124-137
Number of pages14
JournalJournal of Fluids and Structures
Volume45
Early online date31 Dec 2013
DOIs
Publication statusPublished - 28 Feb 2014

Keywords

  • fluid-structure interactions
  • flutter instability
  • bifurcation
  • chaos

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