Identification of limit cycles for piecewise nonlinear aeroelastic systems

D. P. Jones*, I. Roberts, A. L. Gaitonde

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

32 Citations (Scopus)


This paper describes two methods for the analysis of aeroelastic systems with complex piecewise nonlinear structural stiffness. These methods are tested and compared for low speed incompressible and transonic flows. The first technique employed in this paper uses a new application of the analytical solution of linear algebraic systems, the second technique utilises logarithmic and tanh functions to both represent discrete nonlinearities and to act as a switch between different nonlinear areas. The transonic aerodynamic models used are generated using an eigenvalue realisation algorithm (ERA) which produces reduced order models (ROMs) from the pulse responses of time linearised Euler simulations. It is shown that such aerodynamic models are well suited to use with continuation methods. Flutter boundaries and limit cycle oscillations can then be rapidly identified with good accuracy. © 2007 Elsevier Ltd. All rights reserved.

Translated title of the contributionIdentification of limit cycles for piecewise nonlinear aeroelastic systems
Original languageEnglish
Pages (from-to)1012-1028
Number of pages17
JournalJournal of Fluids and Structures
Issue number7
Publication statusPublished - 1 Oct 2007

Bibliographical note

Publisher: Elsevier


  • Aeroelasticity
  • Continuation
  • Limit cycle oscillations
  • Reduced order models

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