Production blasting in open-pit mine has a significant impact on the stability of the slope. The slope of Zambia Muliashi open-pit copper mine was selected as the engineering background. In order to analyze the vibration mechanics response of slope under blasting, dynamical response time-dependent analysis method and ANSYS program were used. The study indicated that the differences of the horizontal displacement-time curves of the particles at the edge of the slope were big whilethat of

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... ones were smaller. When the particles were high and the distance of them to the edge was small, displacement amplification effect was significant. Elevation amplification effect of horizontal displacement was relatively obvious before attenuation of the acceleration of blasting. With the increase of time, the higher the slope was, the larger the amplitude of horizontal displacement was