Harmonic Oscillations of a Narrow Delta Wing in Supersonic Flow

Citation

Hipsh, Harold Marvin (1951) Harmonic Oscillations of a Narrow Delta Wing in Supersonic Flow. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/VRVK-HB35. https://resolver.caltech.edu/CaltechETD:etd-03112009-125900

Abstract

A theory is presented for the calculation of the velocity potential of a harmonically oscillating delta wing having subsonic leading edges in a supersonic flow. The velocity potential is expanded in a power series in powers of the reduced frequency. Two modes of oscillation, plunging and pitching, are considered. For both modes the analysis is carried through the term linear in reduced frequency, this being generally sufficient for dynamic stability analyses. The results thus obtained for the pitching mode verify those of Miles (Ref. 9) obtained by an integral transformation of the steady-state solution. In addition, the term that is quadratic in the reduced frequency is presented for the plunging mode to illustrate the general procedure. Lift and pitching moment coefficients are calculated from the velocity potential and numerical results valid for low frequency oscillations are presented.

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