Efficient μ method in predicting robust match-point flutter

Wenjun Kou*, Zhiping Qiu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Based on the previous μ-tool in predicting robust match-point flutter of the aeroelastic system with parametric uncertainties, this paper proposes a new modelling approach of uncertain polynomials. The proper linear fractional transformation (LFT) is firstly applied to obtain a more reduced uncertain description. Furthermore, regarding the computational complexity of real μ problem aroused from parametric uncertainties, another technique involving bisection method to predict the robust flutter is presented, which is based on the simple relationship between the flight speed and stability of aeroelastic system in certain flight range. The μ method based on bisection search is very computational efficient through numerical validation and comparison, due to the avoidance of the high-order velocity perturbation block in previous robust match-point flutter model.

Original languageEnglish (US)
Pages (from-to)221-226
Number of pages6
JournalLixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
Volume43
Issue number1
StatePublished - Jan 1 2011

Keywords

  • Match-point flutter
  • Parametric uncertainty
  • Reduced-order model
  • Robust stability
  • μ Method

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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