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Harmonic Oscillations of a Narrow Delta Wing in Supersonic Flow


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.


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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Aeronautics and Mathematics)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Minor Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Stewart, Homer Joseph
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1951
Record Number:CaltechETD:etd-03112009-125900
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:931
Deposited By: Imported from ETD-db
Deposited On:13 Mar 2009
Last Modified:03 May 2023 18:53

Thesis Files

PDF (Hipsh_hm_1951.pdf) - Final Version
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