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

Abstract

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.

Shear strain dependent amplification function of earth dam‐flexible canyon system by the hybrid FEM‐SBFEM technique

“…The unbounded domain has been modeled by SBFEM to satisfy the radiation damping condition, and it has been widely used in different dynamic problems: dam-reservoir interaction analysis, [16][17][18][19][20] moving loads, [21][22][23] pile-soil interaction, 24 concrete dam-foundation interaction, 25 and earth dam-canyon interaction. [26][27][28] Deeks and Augarde 29 coupled SBFEM with the meshless local Petrov-Galerkin modeling of the bounded domain.…”

Seismic Performance Evaluation of Concrete Gravity Dams Using an Efficient Finite Element Model

“…Dams are among the most significant engineering buildings, the resistance of these against severe earthquake loads will prevent catastrophic damages on humans, ecology, and economy. Therefore, the dynamic analysis of dams has previously been studied using a variety of methodologies, including the Boundary Element Method (BEM) (Domínguez and Medina 1989;Medina and Domínguez 1989;Dominguez and Meise 1991;Tsai et al 1992;Maeso and Domínguez 1993;Küçükarslan 2004b;Küçükarslan 2004a), Finite Element Method (FEM) (Chopra and Chakrabarti 1971;Gutierrez and Chopra 1978;Akkas et al 1979;Hacıefendioğlu et al 2007;Hacıefendioğlu 2009;Akköse and Şimşek 2010;Bayraktar et al 2011;Azizan et al 2017;Gorai and Maity 2021), and FEM-BEM (Touhei and Ohmachi 1994;Abouseeda and Dakoulas 1998;Yaseri and Konrad 2021). The reservoir domain has been modeled by using Eulerian (Chopra and Chakrabarti 1971;Gogoi and Maity 2007;Alembagheri 2016;Gorai and Maity 2019), Lagrangian (Akkas et al 1979;Wilson and Khalvati 1983;Hacıefendioğlu 2009;Akköse and Şimşek 2010;Bayraktar et al 2011;Hacıefendioğlu et al 2012) or Added Mass (Westergaard 1933;Kuo 1982;Zhang et al 2013) approach and boundary condition (Sommerfeld 1949;Sharan 1985;Higdon 1991;Kellezi 2000;Pelecanos et al 2013;…”

An efficient finite element model for dynamic analysis of gravity dam-reservoir-foundation interaction problems

“…Dams are huge structures that play an important role in human life, providing for many of their essential needs, such as power generation, irrigation, flood prevention, regulating river flow for shipping, etc. In the past studies, the dynamic analysis of DRI, DFI, and DRFI problems was studied by many researchers using several approaches such as the FE method (Chopra and Chakrabarti 1971, Chopra and Chakrabarti 1973, Gutierrez and Chopra 1978, Akkas, Akay et al 1979, Hacıefendioğlu 2009, Akköse and Şimşek 2010, Bayraktar, Sevim et al 2011, Gorai and Maity 2021, Boundary Element (BE) method (Medina and Domínguez 1989, Dominguez and Meise 1991, Tsai, Lee et al 1992, Maeso and Domínguez 1993, Küçükarslan 2004a, Küçükarslan 2004b, and coupled FE-BE method (Touhei and Ohmachi 1994, Abouseeda and Dakoulas 1998, Yaseri and Konrad 2021. The modeling of reservoir domain which is a challenging topic has been implemented by using the approaches such as Lagrangian (Akkas, Akay et al 1979, Wilson and Khalvati 1983, Hacıefendioğlu 2009, Akköse and Şimşek 2010, Bayraktar, Sevim et al 2011, Hacıefendioğlu, Soyluk et al 2012, Eulerian (Chopra and Chakrabarti 1971, Chopra and Chakrabarti 1973, Chopra 2020, Gorai and Maity 2021, and Added Mass (Westergaard 1933, Kuo 1982, Zhang, Wang et al 2013 with appropriate boundary conditions (Sommerfeld 1949, Sharan 1985, Higdon 1991, Kellezi 2000, Pelecanos, Kontoe et al 201...…”