Analysis of s Duffing Oscillator that Exhibits Hysteresis with Varying Excitation Frequency and Ampitude
L.M. Li, Steve A. Billings · White Rose Research Online (University of Leeds, The University of Sheffield, University of York) · 2007
Hysteresis, or jump phenomenon, are a common and severe nonlinear behaviour associated with the Duffing oscillator and the multi-valued properties of the response solution. Jump phenomenon can be induced by either varying the amplitude or the frequency of excitation. In this paper, a new time and frequency domain analysis is applied to this class of system, based on the response curve and the response spectrum map.