• characterization of bifurcating non-linear normal modes in piecewise linear mechanical systems

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 737
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     the non-linear modal properties of a vibrating 2-dof system with non-smooth (piecewise linear) characteristics are investigated; this oscillator can suitably model beams with a breathing crack or systems colliding with an elastic obstacle. the system having two discontinuity boundaries is non-linearizable and exhibits the peculiar feature of a number of non-linear normal modes (nnms) that are greater than the degrees of freedom. since the non-linearities are concentrated at the origin, its non-linear frequencies are independent of the energy level and uniquely depend on the damage parameter. an analysis of the nnms has been performed for a wide range of damage parameter by employing numerical procedures and poincaré maps. the influence of damage on the non-linear frequencies has been investigated and bifurcations characterized by the onset of superabundant modes in internal resonance, with a significantly different shape than that of modes on fundamental branch, have been revealed.

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