Abstract: To study the static aeroelastic stability and performances under the perturbation of uncertainties, a scheme for robustness analysis of static aeroelastic systems with physical parameters perturbation is developed. Based on the physical equations of static aeroelastic systems, the perturbation models of the generalized stiffness, the structural modes, and the generalized steady aerodynamics due to physical parameters perturbation are derived by using the perturbation theory and the linear fractional transformation. Then the static aeroelastic models with uncertainties are obtained. The structured singular value μ-analysis is expanded to analyzing the static aeroelastic robustness. The numerical application is performed for robust static divergence and aeroelastic deformation of a large aspect-ratio wing with perturbation on the elastic modulus of its fore-beam. The example shows the validity in robustness analysis of static aeroelastic systems by μ-analysis.

Key words: aeroelasticity, robustness, wing, uncertainty, perturbation, μ analysis