摘要:
人工边界条件中地震动输入方法的选择直接影响数值模拟精度,但现有研究对三维场地在边界处的不同输入方法的系统性对比仍显不足。本文针对平面SV波入射的三维均匀半空间及层状半空间场地,基于多次透射公式(Multi-Transmitting Formula,MTF)理论框架,结合ANSYS有限元软件的APDL参数化建模技术,对比分析了3种参考波场输入方法下场地地震响应的计算精度:(1)计算模型前、后面和左侧面边界上输入自由波场,底面边界上输入入射波场,右侧面边界不考虑输入波场;(2)左、右侧面,前、后面边界上均输入自由波场,底面边界上输入入射波场;(3)左、右侧面,前、后面和底面边界上均输入自由波场。结果表明:采用方法(3)的三维场地地震响应与理论解的误差最小,明显优于其他2种方法。
Abstract:
The selection of seismic motion input methods in artificial boundary conditions directly affects the accuracy of numerical simulations. However, existing research still lacks systematic comparisons of different input methods at the boundaries of three-dimensional (3D) sites. This paper focuses on 3D homogeneous half-space and layered half-space sites under plane SV wave incidence. Based on the Multi-Transmitting Formula (MTF) theoretical framework and combined with the APDL parametric modeling technology of ANSYS finite element software, the computational accuracy of site seismic responses under three reference wavefield input methods is compared and analyzed: (1) Inputting the free wavefield at the front, back, and left side boundaries of the computational model, the incident wavefield at the bottom boundary, and no wavefield input at the right side boundary. (2) Inputting the free wavefield at the left, right, front, and back boundaries, and the incident wavefield at the bottom boundary. (3) Inputting the free wavefield at the left, right, front, back, and bottom boundaries. The results show that the error between the seismic response of the 3D site using method (3) and the theoretical solution is the smallest, significantly outperforming the other two methods.