# Seismic Response Analysis of Reinforced Concrete Frame Structures Considering Slope Effects
## 3 Analysis of Structural Response under Near-Field Earthquake
### Analysis of Structural Deformation
The maximum inter-story displacement angle of the no-slope structure occurred on the fourth floor, while that of the 1:1 slope ratio structure occurred on the fifth floor, and that of the 1:2 slope ratio structure occurred on the fifth floor. The maximum inter-story displacement angle of the structure decreased with the increase in the slope ratio. This phenomenon shows that there is no qualitative conclusion about the effect of slope ratio on the structure's story drift ratio. The time history curve of the top floor displacement under condition 6 and condition 18 is represented in Figure 9. Point z is the monitor point (see Figure 5). Figure 8: Inter-story displacement angle of each structure: (a) working condition 6; (b) working condition 18. Figure 7: Time history curve of seismic wave acceleration: (a) working condition 6; (b) working condition 18. From Figure 9, it can be found that the time history curve of the top floor displacement varied with different vibrations. However, the difference of ground motion did not change the impact of slope on the displacement of the top layer of the structure. The slope made the horizontal displacement of the top layer show a negative X-direction trend, that is, the movement trend towards the slope direction. Additionally, the greater the slope of the soil, the more pronounced this trend was, while the impact of slope rate on the displacement of the top layer is apparent in working condition 18. Figures 10 and 11, respectively, show the lateral displacement time history curve of the piles and soil. The monitor points were at buried depths of 3 m and 6 m of the leftmost pile. As seen in the figures, the lateral displacement of the pile was different under the action of the two seismic waves, as was the lateral displacement of the soil. Additionally, the slope rate had the same influence on the lateral displacement of piles and soil. Figure 10: Displacement time history curve of pile and soil (at 3 m buried depth): (**a**) working condition 6; (**b**) working condition 18. Figure 9: Time history curve of horizontal displacement of the top layer: (**a**) working condition 6; (**b**) working condition 18. During the same seismic wave action, the change law of lateral displacement of piles buried at 3 m was similar to that of piles buried at 6 m. The law of lateral displacement changes of soil buried at 3 m was similar to that at 6 m. At the end of the action, the displacement of the pile and soil was almost the same, which shows that the soil spring used in the numerical model simulated the pile-soil interaction well. At the burial depth of 3 m, the pile and soil had a small relative displacement. The lateral displacement of soil was slightly smaller than the horizontal displacement of the pile at the same depth. The pile and soil of the structure with the slope both had great lateral displacement towards the slope direction. This law was more obvious with the increase in slope rate. However, the pile and soil of the structure without slope had lateral displacement in the X and negative X directions. This phenomenon indicates that there was a clear tendency for lateral displacement of piles and soil towards the slope, and it was more significant with increasing slope ratio. At the burial depth of 6 m, the displacement of the pile was almost the same as that of soil at the same time. The slope had a certain effect on the displacement of the pile and soil, and the law was roughly the same as that of the position buried at 3 m depth. As the depth increased, however, the change in slope rate had a more significant influence on the lateral displacement of the pile and soil, with a greater degree of dispersion. This points to a much more dramatic effect of the slope on the lateral displacement response of the pile and soil at the bottom of the structure.