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Original Articles

Mathematical Problems in Aviation

Pages 673-686 | Published online: 11 Apr 2018

Bibliography

1. THE AIRWING IN TWO DIMENSIONS

  • N. Joukowski, Über die Konturen der Tragflächen der Drachenflieger, Zeitschrift für Flugtechnik und Motorluftschiffahrt, 1910, p. 281; and 1912, p. 81. Aerodynamique, Paris, 1931.
  • W. M. Kutta, Über eine mit den Grundlagen des Flugproblems in Beziehung stehende zweidimensionale Strömung, Berichte der Bayrischen Akademie der Wissenschaften, 1910.
  • R. v. Mises, Zur Theorie des Tragflächenauftriebes, Zeitschr. Flugtechn. Motorluftsch., 1917, p. 157; and 1920, pp. 68, 87.
  • Newdevelopments in the theory of airfoils of infinite span, Journal of the Aeronautical Sciences, 1940, p. 290.
  • H. Glauert, The Elements of Airfoil and Airscrew Theory, Cambridge University Press, 1926, Chap. V-VII.

2. THE AIRWING OF FINITE SPAN

  • F. W. L. Lanchester, Aerodynamics, London, 1907; fourth edition, 1918.
  • L. Prandtl, Tragflächentheorie, Göttinger Nachrichten, 1918, p. 451; and 1919, p. 107.
  • M. Munk, Isoperimetrische Probleme aus der Theorie des Fluges, Dissertation Göttingen, 1919.
  • W. F. Durand, Aerodynamic Theory, Berlin, Springer, 6 vol., 1934–1936; vol. II by Th. v. Kármán and J. M. Burgers. (See this volume for more references to 1 and 2.)

3. DYNAMICS OF AN AIRPLANE

  • W. F. Durand, Aerodynamic Theory, vol. V, Dynamics of the Airplane, by B. M. Jones.
  • R. v. Mises, Dynamische Probleme der Maschinenlehre, Encyclopädie der Mathematischen Wissenschaften, vol. IV, part 2, Leipzig, Teubner, 1911, p. 343.
  • H. Bryan, Stability in Aviation, London, Macmillan, 1911.
  • F. W. L. Lanchester, Aerodonetics, London, 1908; second edition, 1910.

4. BOUNDARY LAYER THEORY

  • L. Prandtl, Über Flüssigkeitsbewegung bei sehr kleiner Reibung, Verhandlungen des 3 Internat. Mathematiker-Congresses in Heidelberg, Leipzig, Teubner, 1905, p. 484.
  • R. v. Mises, Bemerkungen zur Hydromechanik, Zeitschrift für Angewandte Mathematik und Mechanik, 1927, p. 425.
  • T. Levi-Civita, Allgemeine Folgerungen aus der Prandtlschen Grenzschichttheorie, Vorträge aus dem Gebiete der Aerodynamik Aachen, 1929, p. 31.
  • Th. v. Kármán and C. B. Millikan, On the theory of laminar boundary layers involving separation, National Advisory Committee for Aeronautics, Report 504, 1934.

5. THIN SHEET CONSTRUCTIONS

  • Herbert Wagner, Flat sheet metal girders with very thin metal web, National Advisory Committee for Aeronautics, Technical Memorandum 604, 605, 606.

6. ELASTIC STABILITY PROBLEMS

  • R. V. Southwell, Note on the stability under shearing forces of a flat elastic strip, Proceedings of the 1st International Congress for Applied Mechanics, Delft, 1924 and 1925, p. 266.
  • R. V. Southwell and S. W. S kan, On the stability under shearing forces of a flat elastic strip, Proceedings of the Royal Society of London (A), vol. 105, 1924, p. 582.
  • Th. v. Kármán, L. G. Dunn, and Hsue-Shen Tsien, The influence of curvature on the buckling characteristics of structures, Journal of the Aeronautical Sciences, 1940, p. 276.

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