基于SBFEM和ABAQUS的土-结构动力分析

Dynamic soil-structure analysis based on SBFEM and ABAQUS

摘要

精确模拟无限域动力特性是土-结构相互作用(soil-structure interaction，SSI)分析中的关键问题。比例边界有限元法(scaled boundary finite element method，SBFEM)是一种结合了有限元法和边界元法优点的半解析分析方法，可严格满足无限域辐射边界条件。本文基于ABAQUS平台实现了比例边界有限元(scaled boundary finite element，SBFE)无限域模型的嵌入，同时借助蒙皮单元技术完成了SBFE有限域单元与ABAQUS自有单元的耦合。在此基础上，首先，分析了经典Lamb问题，验证了SBFEM模拟无限域能量辐射的准确性。然后，研究了地震下10层钢筋混凝土框架-地下室-土体耦合模型的动力响应，其中土体有限域和无限域均采用SBFE模拟。最后，对比分析了固定基础模型和SBFE无限域模型的结构动力响应。结果表明，SSI会降低结构自振频率，同时增大体系阻尼；与固定基础假定相比，考虑SSI会减小结构底层响应，与此同时显著增大上部楼层的位移、层间位移角和楼层剪力。本文基于ABAQUS平台，实现了SBFEM模型嵌入与无限土域动力特性的高精度模拟，为SSI分析提供了坚实可靠的分析方法与数值结果。

Abstract

Accurately simulating the dynamic characteristics of unbounded domains is a key issue in soil-structure interaction (SSI) analysis. The scaled boundary finite element method (SBFEM) is a semi-analytical approach that combines the advantages of the finite element method and the boundary element method. SBFEM can strictly satisfy the radiation boundary condition of unbounded domains. In this study, an unbounded scaled boundary finite element (SBFE) model is implemented on the ABAQUS platform, and the coupling between bounded SBFES and ABAQUS elements is realized with the aid of skin element technology. The proposed method is used to analyze the classical Lamb problem, verifying the accuracy of SBFEM in simulating energy radiation in unbounded domains. It is followed by the dynamic analysis of a ten-story reinforced concrete frame-basement-soil coupled model under earthquake excitation. In this example, both bounded and unbounded soil domains are modeled using SBFES. The SSI effect is investigated by comparing the structural dynamic responses of the fixed-base model and the SBFE model. The results show that SSI reduces the natural frequency of the structure and increases the system damping. Compared with the fixed-base assumption, considering SSI reduces the response of the lower part of the structure, while significantly increasing the displacements, inter-story drift ratios, and story shear forces of the upper stories. This work realizes the high-precision simulation of the dynamic behavior of the unbounded soil domain by implementing SBFEM into ABAQUS, and provides a solid and reliable analytical method as well as numerical results for SSI analysis.

关键词

土-结构相互作用 / 无限域 / ABAQUS二次开发 / 比例边界有限元法

Key words

soil-structure interaction / unbounded domains / ABAQUS secondary development / SBFEM

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基金资助

中国地震局工程力学研究所基本科研业务费专项(2023B12)

中国地震局工程力学研究所基本科研业务费专项(2023C10)

国家自然科学基金项目(52408565)

黑龙江省自然科学基金项目(LH2023E022)