Abstract: Based on the analysis on crushing process and hysteresis of material
layers, a hysteretic model with symmetrical clearances is presented. The
mechanical model of two-degree of freedom with bilinear hysteresis and its
dynamical equations of system are proposed. In order to further investigate the
dynamic characteristics of the novel vibratory cone crusher, the system is also
simplified into a dynamical system of single degree of freedom with a bilinear
hysteretic component together with clearances. According to some nonlinear
dynamic analysis tools such as bifurcation diagram, Lyapunov exponents,
Poincare section, etc., different motion patterns of the system are discussed,
including periodic, periodic doubling, chaos and other characteristics. These
theoretical results will provide readers with deep understanding on the regular
and complex dynamical behaviors of the vibratory cone crusher due to the
hysteresis with clearances.
Keywords: Vibratory cone crusher, bilinear hysteretic model with clearances, nonlinear vibration, chaos
