Analysis of an impact Duffing oscillator by means of a nonsmooth unfolding transformation

Forced vibrations of a one degree-of-freedom impact Duffing oscillator are considered in this paper. The nonsmooth unfolding transformation and the Van der Pol method are used together for vibration analysis and the forced vibrations in the region of the resonance family are treated in detail. In this resonance family, the system exhibits subharmonic vibrations. The stability and bifurcations of the periodic motions are also considered.