An Application of Finite Element-Infinite Element Coupled Boundary in Three-Dimensional Nonlinear Dynamic Response Analysis of Earth Dams With Deep Overburdened Layer

Junsong He, Yongheng Guo
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Abstract

There are many risks of earthquake disaster acknowledged in the construction of embankment dam with deep overburdened layer in highly seismic region, and its dynamic response analysis under strong earthquake is the basis to predict and analyze the earthquake disaster. It is very important to carry out a three-dimensional nonlinear dynamic response analysis on the dam, of which the processing of the model boundary in numerical simulation determines the accuracy and calculation efficiency of the solution thereof. In this paper, two deep overburdened layer finite element boundary models and finite element-infinite element coupled boundary models were established to explore the applicability of infinite element in dynamic calculation with deep overburdened layer embankment dam based on a deep overburdened layer sand-gravel dam, and their dynamic responses under the anti-seismic effect were calculated. According to the analysis results, a significant impact was imposed by different boundaries on the extremum of dam acceleration, and the distribution characteristics of the maximum acceleration in the dam indicated a tendency of consistency. Furthermore, the interaction between the dam body and dam foundation shall be not ignored. The seismic waves gradually attenuated during deep overburdened layer propagation after the incidence of bed rock, and the dynamic response of dam body weakened with the increase of dam foundation area. Compared with the finite boundary model, the acceleration, dynamic displacement and dynamic shear strain calculated by the finite element -infinite element coupled boundary model indicated a significantly lower value against larger calculation results of the finite boundary model in dam foundation area, which is closer to the results of the finite element-infinite element coupled boundary model. Therefore, the finite element -infinite element coupled boundary can simulate the infinite domain of dam foundation effectively to realize the propagation and dissipation of seismic waves in deep overburdened layer and eliminate the adverse effects of seismic waves reflection on dam structure. The research results of this paper allow for decision-making basis for the design and construction of similar dams, as well as the prevention and control of earthquake disaster.
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有限元-有限元耦合边界在深超载土坝三维非线性动力响应分析中的应用
高震区深超载层路堤坝施工存在诸多地震灾害风险,其在强震作用下的动力响应分析是预测和分析地震灾害的基础。对大坝进行三维非线性动力响应分析是非常重要的,数值模拟中模型边界的处理决定了其求解的精度和计算效率。本文以某深超载层砂砾坝为例,建立了两种深超载层有限元边界模型和有限元-无限单元耦合边界模型,探讨了无限单元在深超载层路堤坝动力计算中的适用性,并计算了它们在抗震作用下的动力响应。分析结果表明,不同边界对坝体加速度极值有显著影响,最大加速度在坝体内的分布特征呈一致性趋势。此外,坝体与坝基之间的相互作用也不容忽视。基岩发生后,在深超载层传播过程中,地震波逐渐衰减,坝体动力响应随坝基面积的增加而减弱。与有限边界模型相比,在坝基区域,有限元-无限单元耦合边界模型计算的加速度、动位移和动剪应变值明显较低,而有限边界模型计算结果较大,更接近有限元-无限单元耦合边界模型的计算结果。因此,有限元-无限单元耦合边界可以有效地模拟坝基的无限域,实现地震波在深超载层中的传播和耗散,消除地震波反射对坝体结构的不利影响。本文的研究成果可为同类大坝的设计和施工以及地震灾害的防治提供决策依据。
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