By using the harmonic response analysis in the finite element analysis method, the seismic dynamic interaction of the three-dimensional urban building group-homogeneous sedimentary basin is studied. The viscoelastic artificial boundary is introduced, which can overcome both the defects of low-frequency drift and high-frequency instability, and the equivalent load in frequency domain is obtained by fast Fourier transform for loading, to explore the influence of the different incident frequencies (0.5–5.0 Hz), different numbers (196, 400, 676), and spacing (55 m, 62.5 m, 70 m) of building groups on the ground motion of homogeneous sedimentary basin under the incidence of SV wave. Numerical results illustrate that at low frequency, the displacement cloud image of the homogeneous sedimentary basin model shows an obvious phenomenon of “central focusing.” With the increase of frequency, the displacement cloud image gradually changes from “central focusing” to “multipoint focusing.” Meanwhile, the displacement peak gradually moves from the surface to the center of the basin. At a certain incident frequency, the existence of dense building groups will change the spatial distribution of displacement amplitude in the basin. Under the action of high-frequency incident waves, denser building groups with more buildings and smaller building spacing have a more pronounced weakening effect on the seismic response of homogeneous sedimentary basins. The displacement response of the center of the basin is generally large. When planning important buildings, the center area should be avoided as much as possible. For existing buildings, structural reinforcement is needed. It is of great significance for the planning and layout of buildings in the soft sedimentary basin and the reasonable spacing of buildings to reduce the risk of urban earthquake disaster.

中文翻译：

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3D城市密集建筑群对均质沉积盆地地震动放大率的影响

通过有限元分析方法中的谐响应分析，研究了三维城市建筑群均质沉积盆地的地震动力相互作用。引入了粘弹性人工边界，可以克服低频漂移和高频不稳定性的缺陷，并通过快速傅里叶变换对载荷进行频域等效载荷的加载，以探索不同入射频率的影响（ 0.5-5.0 Hz），不同数量（196、400、676）和SV波入射下均质沉积盆地地震动的建筑群间距（55 m，62.5 m，70 m）。数值结果表明，在低频下，均相沉积盆地模型的位移云图显示出明显的“中心聚焦”现象。随着频率的增加，位移云图像逐渐从“中央聚焦”变为“多点聚焦”。同时，位移峰值从地表逐渐向盆地中心移动。在一定的入射频率下，密集的建筑群的存在将改变盆地位移幅度的空间分布。在高频入射波的作用下，具有更多建筑物，更小建筑物间距的密集建筑群对均质沉积盆地的地震响应具有更明显的减弱作用。盆中心的位移响应通常较大。在规划重要建筑物时，应尽量避开中心区域。对于现有建筑物，需要结构加固。