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水力发电学报 ›› 2025, Vol. 44 ›› Issue (4): 72-84.doi: 10.11660/slfdxb.20250408

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耦合SBFEM-FEM的高拱坝系统地震响应分析

  

  • 出版日期:2025-04-25 发布日期:2025-04-25

Seismic response analysis of high arch dam system with coupled SBFEM-FEM

  • Online:2025-04-25 Published:2025-04-25

摘要: 高拱坝的巨大尺寸跨度以及需考虑的不同分区材料属性和坝基地形的复杂性,采用传统有限元法进行精细化建模时存在一定局限性。本文建立了一种耦合SBFEM-FEM高拱坝-地基-库水系统的地震分析数值分析模型。该模型以SBFEM理论为基础,通过蒙皮单元技术耦合八叉树SBFEM自定义单元与ABAQUS内置单元,将SBFEM半解析和网格灵活的优势与ABAQUS成熟的线性与非线性求解器和前/后处理模块相结合。以XL高拱坝为例,对其进行了地震作用下线弹性、接触非线性与材料非线性动力响应分析。结果表明:本文方法相较于传统有限元法能够有效减少计算所需资源,并且能够准确模拟高拱坝在地震作用下的非线性响应及损伤情况,对大坝以及其他建筑的抗震研究具有一定的借鉴意义。

关键词: 比例边界有限元, 耦合SBFEM-FEM, 接触非线性, 非线性动力响应, 八叉树网格

Abstract: For a high arch dam, the traditional finite element method exhibits certain limitations in fine modeling, because of its large dam span and other huge dimensions, diversified material properties in different zones of its body, and the complexity of its foundation topography. This paper describes a brand-new integrated analysis process of a high arch dam-foundation-reservoir system, and develops a seismic analysis numerical model by the coupled SBFEM-FEM. This model is based on the scaled boundary finite element method (SBFEM), and uses the overlaying element technique to integrate an octree SBFEM and the ABAQUS built-in elements. It combines the advantages of SBFEM semi-analyticity and mesh flexibility with the mature linear and nonlinear solvers and pre- and post-processing modules of ABAQUS. It is applied in a case study of the elastic, contact nonlinear and material nonlinear dynamic response of the XL high arch dam under seismic action. The results show that compared with the traditional finite element method, our new method reduces the model-required calculation resources effectively, and has a high accuracy in simulating the nonlinear response and damage of the dam under earthquakes, thus useful for the seismic analysis of water dams and similar structures.

Key words: scaled boundary finite element method (SBFEM), coupled SBFEM-FEM, contact nonlinear, nonlinear dynamic response, octree mesh

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