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Computation of amplification functions of earth dam-flexible canyon systems by the hybrid FEM-SBFEM technique

机译:杂交FEM-SBFEM技术计算土坝柔性峡谷系统的放大功能

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摘要

A dam's responses can be amplified by the geometry and flexibility of its surrounding canyon. To modeling a canyon as an elastic unbounded domain, the radiation damping condition should be satisfied, and in this regard, the Scaled Boundary Finite Element Method (SBFEM) is a powerful tool. In this article, a substructure method was used to combine the standard Finite Element Method (FEM) with the SBFEM, resulting in the hybrid FEM-SBFEM technique. This hybrid technique treats an earth dam by using FEM and a corresponding elastic unbounded canyon by SBFEM. The proposed approach was verified by data available in the literature. The seismic response of an earth dam-flexible canyon system was investigated by employing a 3D FEM-SBFEM method. Several amplification functions corresponding to different canyon conditions were obtained by applying a uniform displacement for the canyon boundary, and a comprehensive study was performed to examine the effects of canyon geometry and flexibility on the steady-state response of the dam, as these two effects influenced the amplification functions. While the flexibility of the canyon significantly affects the maximum amplification function value for a dam, this value does not change for earth dams in canyons with different shapes but the same length. In addition, the lateral response of earth dams in the time domain was computed in order to analyze the aforementioned effects under an actual earthquake. The proposed amplification functions were used to compare the recorded response spectra of the El Infiernillo dam under the two earthquakes in 1966 with the calculated amplification function, and a reasonable agreement was observed between them.
机译:大坝的反应可以通过其周围峡谷的几何形状和灵活性放大。为了将峡谷建模为弹性无界域,应满足辐射阻尼条件,在这方面,缩放边界有限元方法(SBFEM)是一个强大的工具。在本文中,使用子结构方法将标准有限元方法(FEM)与SBFEM结合,从而产生混合FEM-SBFEM技术。这种混合技术通过使用FEM和SBFEM的相应弹性未绑定的峡谷来处理地球坝。所提出的方法通过文献中提供的数据验证。采用3D FEM-SBFEM方法研究了地球坝柔性峡谷系统的地震反应。通过对峡谷边界施加均匀的位移来获得对应于不同峡谷条件的若干放大功能,并且进行了综合研究以检查峡谷几何形状和灵活性对大坝稳态响应的影响,因为这两种影响受到影响放大功能。虽然峡谷的灵活性显着影响了大坝的最大放大功能值,但该值不会改变峡谷中的地球坝,具有不同的形状,但长度相同。另外,计算了地球坝在时域中的横向响应,以分析实际地震下的上述效果。所提出的扩增函数用于将1966年两次地震下的EL Infiernillo大坝的记录响应光谱与计算出的放大函数进行比较,并且在它们之间观察到合理的协议。

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