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考虑局部场地效应的土-结构动力相互作用SEM-FEM耦合模拟方法

SEM-FEM COUPLED SIMULATION METHOD FOR SOIL STRUCTURE DYNAMIC INTERACTION CONSIDERING LOCAL SITE EFFECTS

  • 摘要: 考虑局部场地影响的结构地震反应分析中, 合理有效的地震动输入非常关键. 本文基于分区计算思想, 发展了一种谱元和有限元耦合的两步模拟方法. 首先, 采用谱元法(SEM)结合多次透射公式(MTF), 模拟平面波入射下仅含局部场地模型内部缩减计算域边界区节点的位移时程. 结合谱元法的特点此时可采用只需满足背景场地模型模拟精度要求的相对粗略的网格. 其次, 将上述位移时程直接施加于土-结构计算域的边界区节点完成地震动输入, 采用有限元法(FEM)模拟土-结构系统的动力反应. 此时可对结构域采用精细化网格建模, 并基于MTF实现结构引起的外行散射波的吸收. 相比传统域分解法(DRM), 本文方法省去了地震动输入所需的人工边界处等效节点力的计算而直接实现位移时程输入, 且对不同属性介质可采用相同的计算式而无需修改. 基于均匀半空间模型、盆地场地模型和地表局部凹陷模型采用整体方法解的对比验证了本文方法的精度和有效性, 同时讨论了子区域选取形状及多次透射公式阶数对模拟结果的影响. 最后通过考虑盆地效应与否时地铁车站模型和地上框架结构模型在时域和频域内地震动反应的对比, 验证了进行结构地震反应模拟时考虑局部场地影响的重要性.

     

    Abstract: In the analysis of structural seismic response considering the influence of local site conditions, reasonable and effective seismic input is crucial. Based on the domain reduction theory, a two-step simulation method coupling the spectral element method (SEM) and the finite element method (FEM) is developed in this study. Firstly, the method of SEM combined with MTF is used to simulate the displacement response of the model that encompasses the localized feature from which the structure has been removed under plane wave incidence, and the displacement responses of the boundary zone nodes defining the localized soil-structure calculation domain are directly used as the input for the truncated soil-structure region. In this step, a relative coarse mesh that just meet the requirement of the highest resolved frequency of the background model can be adopted by the merits of SEM. Secondly, based on the above input wave filed that has incorporated the effect of the local heterogeneity, the FEM is used to simulate the dynamic response of the soil-structure system, and the scattered waves caused by the structure are absorbed by the MTF, in which a quite finer mesh can be used for the structure domain. Compared with traditional DRM method, this method avoids the calculation of equivalent nodal forces at artificial boundaries required for the seismic motion input, and the same calculation scheme can be used for medium with different attributes. The accuracy and effectiveness of the proposed method were verified based on the comparison of solution using direct method for the uniform half space model, the basin model and the local canyon model, and the influence of the selected sub-region shape as well as the order of MTF on the simulated results is discussed. Finally, by comparing the seismic responses of a subway station model and a frame structure model with and without considering the basin effect, the importance of considering local site effects in simulating structural seismic response was verified.

     

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