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Minimum induced drag of wings with given lift and root-bending moment

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Summary

The spanwise aerodynamic loading of wings having minimum induced drag is derived for prescribed lift and root-bending moment. THis problem is an alternative to Prandtl's solution for the case that the lift and its moment of inertia about the longitudinal axis of the aircraft are given.

Zusammenfassung

Es wird die Zirkulationsverteilung über der Spannweite hergeleitet, die für Tragflügel mit gegebenem Auftrieb und Biegemoment an der Flügelwurzel den minimalen induzierten Widerstand ergibt. Dieses Problem stellt eine Alternative zu der Lösung dar, die L. Prandtl für den Fall angegeben hat, dass der Auftrieb und das von ihm um die Flugzeuglängsachse erzeugte Trägheitsmoment gegeben sind.

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References

  1. L. Prandtl,Über Tragflügel kleinsten induzierten Widerstandes, Z. Flugtechn. Motorluftschiffahrt24, Nr. 11, 305–306 (1933).

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  2. D. Küchemann andJ. Weber,An Analysis of Some Performance Aspects of Various Types of Aircraft Designed to Fly over Different Ranges at Different Speeds, Progr. Aeron. Sci.9, 329–456, Pergamon Press 1968.

  3. J. Weber,The Calculation of the Pressure Distribution over the Surface of Two-dimensional and Swept Wings with Symmetrical Aerofoil Sections, ARC R&M 2918 (1953).

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Authors and Affiliations

  1. Motoren- und Turbinen-Union München GmbH, München, Germany

    Armin Klein

  2. Aerospace School, Georgia Tech., Atlanta, Georgia, USA

    S. P. Viswanathan

Authors
  1. Armin Klein
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  2. S. P. Viswanathan
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Klein, A., Viswanathan, S.P. Minimum induced drag of wings with given lift and root-bending moment. Journal of Applied Mathematics and Physics (ZAMP) 24, 886–892 (1973). https://doi.org/10.1007/BF01590797

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  • DOI: https://doi.org/10.1007/BF01590797

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