Three-dimensional Site Response Analysis Based on Equivalent-Linear Behavior of Foundation Soil
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摘要: 随着核电厂选址条件的日趋复杂化，土-结构相互作用（SSI）成为核电厂抗震分析需要考虑的重要因素之一。目前经典的自由场厂址反应分析采用的是一维层状地基土的分析，比如SHAKE91、EERA和SASSI等，很难考虑土层的非均质层状因素。因此随着核电安全的监管要求越来越高，抗震的精细化分析成为趋势。本文采用有限元程序ABAQUS编写的UMAT材料子程序，实现了基于地基土材料的等效线性，开展均质层状土的三维自由场厂址反应分析。其计算分析结果与SHAKE91计算结果进行对比表明，在均质层状土条件下吻合较好。因此，本研究为求解复杂非均质地基条件的SSI分析提供了良好的工程适用性。
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关键词:
- 土-结构相互作用（SSI） /
- 厂址反应分析 /
- 均质层状土
Abstract: With the increasing complexity of nuclear power plant's siting conditions, soil-structure interaction (SSI) has become an important issue to be considered in the seismic analysis. At present, the classical free-field site response analysis uses the analysis of one-dimensional layered foundation soil, such as SHAKE91, EERA and SASSI, so it is difficult to consider the heterogeneous layer factors of the soil layer. Therefore, with the increasing regulatory requirements for nuclear power safety, the refined analysis of earthquake resistance has become a trend. In this paper, the UMAT material subprogram written by the finite element program ABAQUS is used to realize the equivalent linearity of the foundation soil material and carry out the three-dimensional free-field site response analysis of the homogeneous layered soil. Comparing the calculation and analysis results with SHAKE91 calculation results, it shows that it is in good agreement under the condition of homogeneous layered soil. Therefore, this study provides a good engineering applicability for the SSI analysis of complex heterogeneous foundation conditions. -
图 5 场地土单元的最大剪切应变对比图
①—ABAQUS 1次结果；②—ABAQUS 2次结果；③—ABAQUS 3次结果；④—ABAQUS 4次结果；⑤—SHAKE91计算结果
Figure 5. Comparison Diagram of Maximum Shear Strain of Site Soil Element
图 6 最大加速度沿深度分布图
①—ABAQUS计算结果；②—SHAKE91计算结果
Figure 6. Distribution of Maximum Acceleration Along Depth
图 7 地面厂址反应的加速度时程曲线对比图
Figure 7. Comparison of Acceleration Time History Curves of Ground Site Response
图 8 地面厂址反应的加速度反应谱曲线对比图
Figure 8. Comparison of Acceleration Response Spectrum Curves of Ground Site Response
表 1 土层剖面参数
Table 1. Soil Profile Parameters
土层序号 土体材
料类型层厚/
ft重度/
pcf剪切波速/
(ft·s−1)纵波波速/
(ft·s−1)表面 1 砂石 5.0 125.00 1000 1870 2 砂石 5.0 125.00 900 1690 3 砂石 10.0 125.00 900 1690 4 砂石 10.0 125.00 950 1780 5 粘土 10.0 125.00 1000 1870 6 粘土 10.0 125.00 1000 1870 7 粘土 10.0 125.00 1100 2060 8 粘土 10.0 125.00 1100 2060 9 砂石 10.0 130.00 1300 2450 10 砂石 10.0 130.00 1300 2450 11 砂石 10.0 130.00 1400 2620 12 砂石 10.0 130.00 1400 2620 13 砂石 10.0 130.00 1500 2800 14 砂石 10.0 130.00 1500 2800 15 砂石 10.0 130.00 1600 3000 16 砂石 10.0 130.00 1800 3400 基岩 17 — — 140.00 4000 7500 1 ft=30.48 cm；1 pcf=16 kg/m3；“—”—无数据，下同 
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表 2 粘土的刚度和阻尼材料属性
Table 2. Stiffness and Damping Material Properties of Clay
剪应变/% G/Gmax 阻尼比/% 0.0001 1 0.24 0.0003 1 0.42 0.001 1 0.8 0.003 0.981 1.4 0.01 0.941 2.8 0.03 0.847 5.1 0.1 0.656 9.8 0.3 0.438 15.5 1 0.238 21 3 0.144 — 3.16 — 25 10 0.11 28
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表 3 砂土的刚度和阻尼材料属性
Table 3. Stiffness and Damping Material Properties of Sand
剪切应变/% G/Gmax 阻尼比/% 0.0001 1 0.24 0.0003 1 0.42 0.001 0.99 0.8 0.003 0.96 1.4 0.01 0.85 2.8 0.03 0.64 5.1 0.1 0.37 9.8 0.3 0.18 15.5 1 0.08 21 3 0.05 25 10 0.035 28
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