The effect of turbulence in the atmosphere on the motion stability of a helicopter blade is investigated. Modeling turbulence as a random field, statistically stationary in time and homogeneous in space, the method of stochastic average of Stratonovich is used to obtain equivalent Ito stochastic equations, from which the Fokker-Planck equation for the transition probability density and the equations for various stochastic moments can be derived. As an exploratory study, only flapping and torsional motions are considered; the results are reported in two parts. In Part I, the present paper, equations of motion are derived which are reducible to those obtained previously by Sissingh and Kuczynski when the turbulence terms are removed. The in-plane turbulence components appear in the coefficients of these equations; thus, they affect the stability of the flapping and torsional motions. On the other hand, the normal turbulence component appears in the inhomogeneous terms in the equations; its statistical properties, while affecting the level of system response, do not change a stable solution to an unstable solution. Then detailed discussions are given for the reduced case of uncoupled flapping in a hovering flight. (Jensen)


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    Titel :

    Rotor blade stability in turbulent flows - Part 1


    Weitere Titelangaben:

    Stabilitaet von Hubschrauberrotoren in turbulenter Stroemung


    Beteiligte:
    Lin, Y.K. (Autor:in) / Fujimori, Y. (Autor:in) / Ariaratnam, S.T. (Autor:in)

    Erschienen in:

    AIAA Journal ; 17 , 6 ; 545-552


    Erscheinungsdatum :

    1979


    Format / Umfang :

    8 Seiten, 3 Bilder, 25 Quellen



    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch




    Rotor Blade Stability in Turbulent Flows-Part II

    Y. Fujimori / Y. K. Lin / S. T. Ariaratnam | AIAA | 1979


    Rotor blade stability in turbulent flows - Part II

    Fujimori, Y. / Lin, Y.K. / Ariaratnam, S.T. | Tema Archiv | 1979


    Rotor Blade Stability in Turbulent Flows-Part I

    Y. K. Lin / Y. Fujimori / S. T. Ariaratnam | AIAA | 1979


    The stability of rotor blade flapping motion

    Shutler, A. G. / Jones, J. P. | TIBKAT | 1961


    Computation of rotor blade flows using the Euler equations

    WAKE, B. / SANKAR, N. / LEKOUDIS, S. | AIAA | 1985