The solution of linear flutter equations carries the risk of missing important aeroelastic modes, particularly with large, complex models or control systems. A mathematical technique known as the topological degree of a system of nonlinear equations tells how many roots the equations have within a given region. Using the degree to determine the number of roots of the flutter determinant, regions, such as a velocity-frequency interval, can be tested for missed neutral-stability points. A generalized-bisection technique, together with the topological degree, provides a globally convergent nonlinear-equation solver requiring only function values. Applied to flutter equations, it is a safe way to narrow regions containing neutral-stability points or start points for aeroelastic mode-tracking processes in preparation for more efficient techniques, such as Newton's method.


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    Title :

    Topological Degree Applied to Flutter Equations


    Contributors:

    Published in:

    Publication date :

    2015




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.50 Luftfahrzeugtechnik / 55.60 Raumfahrttechnik / 55.60 / 50.93 / 55.50 / 50.93 Weltraumforschung
    Local classification TIB:    770/7040





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