Analysis of piecewise linear aeroelastic systems using numerical continuation

I Roberts, DP Jones, NAJ Lieven, M Di Bernardo, AR Champneys

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

30 Citations (Scopus)


This paper demonstrates the application of a numerical continuation method to dynamic piecewise aeroelastic systems. The aeroelastic system is initially converted into a state space form and then into a set of equations which solve the system as the motion moves between different linear zones in a free-play motion. Once an initial condition is found that satis®es these sets of equations, a continuation method is used to ®nd all other possible solutions of the same period for a variation in any parameter. This process can then be repeated for different order systems, allowing the limit cycle behaviour of the whole system to be built up. The solutions found using this method have been shown to be the same as those found using a more traditional Runge±Kutta type of approach with a considerable time saving and added ¯exibility through multiple parameter variation.
Translated title of the contributionAnalysis of piecewise linear aeroelastic systems using numerical continuation
Original languageEnglish
Pages (from-to)1 - 11
Number of pages11
JournalProceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
Volume216 (1)
Publication statusPublished - Jan 2002

Bibliographical note

Publisher: Institute of Mechanical Engineers

Structured keywords

  • Engineering Mathematics Research Group


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