• global and bifurcation analysis of a structure with cyclic symmetry

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 748
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     this article combines the application of a global analysis approach and the more classical continuation, bifurcation and stability analysis approach of a cyclic symmetric system. a solid disc with four blades, linearly coupled, but with an intrinsic non-linear cubic stiffness is at stake. dynamic equations are turned into a set of non-linear algebraic equations using the harmonic balance method. then periodic solutions are sought using a recursive application of a global analysis method for various pulsation values. this exhibits disconnected branches in both the free undamped case (non-linear normal modes, nnms) and in a forced case which shows the link between nnms and forced response. for each case, a full bifurcation diagram is provided and commented using tools devoted to continuation, bifurcation and stability analysis.

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