General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms The application of uncertainty analysis, including probabilistic and non-probabilistic approaches, to the prediction of the dynamic pressure at which flutter occurs is considered for the S4T Semi-Span Super-Sonic Transport wind-tunnel model. A SVD based reduced order modelling approach, along with the Polynomial Chaos Expansion and Fuzzy Analysis methods for uncertainty quantification, are described and used to explore the effects that variations in the structural mass, resembling variations in the fuel load, have on the linear flutter analyses for a range of subsonic and supersonic speeds. All the approaches are able to efficiently quantify the effects of structural uncertainty on the aeroelastic behavior.