Abstract: The dynamic loading leads to instability and failure of rock slope. Especially, the role of force increase mutation has a great influence on slope stability. The rock mechanical properties are analyzed under static and dynamic loadings. And then, the nonlinear equation of rock slope is established. The dynamic deformation model of rock slope and the nonlinear dynamic response are studied. The amplitude of the sliding body suddenly increase, resulting in the sudden jump up and continue to increasing with the increase of the force, when the disturbance frequency to a certain extent. Conversely, the amplitude of the landslide suddenly reduces, resulting in the sudden decreases when the perturbation amplitude reduces to a certain extent. Tiny changes in initial conditions can cause a huge difference of the system response. The movement of the entire system can be regarded as an independent superposition of the two sports when the amplitude(A) is very small. As the amplitude(A) increases to more than its amplitude between the three singular points of the nonlinear system interval, the system can oscillate back and forth between these singular points. With the amplitude(A) increasing, the system changes from the period-doubling motion to mix sports. The results can provide guidance for the dynamic stability of the rock slope.

Key words: rock slope, force increase mutation, excitation function, dynamic sensitivity