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 language | English (US) |
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Pages (from-to) | 221-226 |
Number of pages | 6 |
Journal | Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics |
Volume | 43 |
Issue number | 1 |
State | Published - 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