Supersonic theory for oscillating wings of any plan form

Abstract

Summary.--A theory for thin wings of any plan form describing simple harmonic oscillations of small amplitude in a supersonic air stream is developed. It is based on the use of the generalised Green\\'s Theorem in conjunction with particular solutions which vanish over the charadteristic cone with vertex at any point in the field of flow. The theory can be used to calculate tile aerodynamic forces acting on fluttering wings when the modes of distortion are known.