Nonlinear dynamics of a SDOF oscillator with Bouc–Wen hysteresis

Bouc–Wen hysteresis model is one of the most widely accepted smoothly varying differential models in the engineering field. With different parameters of Bouc–Wen model, the vibrating system is nonlinear for its softening or hardening responses. Frequency responses, bifurcation and chaos of a SDOF oscillator with different parameters of Bouc–Wen model are investigated by means of numerical simulation. The influence of hysteretic parameters on nonlinear dynamic responses of vibrating system is studied, some new phenomena are detected.