Study on the effects of hydrodynamic pressure on the dynamic stresses in slabs of high CFRD based on the scaled boundary finite-element method

Xu, He; Zou, Degao; Kong, Xianjing; Hu, Zhiqiang

doi:10.1016/j.soildyn.2016.06.003

Cited by 38 publications

(21 citation statements)

References 38 publications

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“…At present, much research on the numerical analysis of the dam-reservoir dynamic interaction under earthquake conditions has emerged. The scope of research covers arch dams [38][39][40][41], gravity dams [41][42][43][44], and concrete face rockfill dams (CFRDs) [45][46][47][48][49]. The hydrodynamic pressure computational methods used in research include FEM, the boundary element method (BEM) and SBFEM.…”

Section: Introductionmentioning

confidence: 99%

“…Lin et al [50] realized an efficient SBFEM-based solution of hydrodynamic pressure in a 3D reservoir by only discretizing the two-dimensional (2D) interfaces between the reservoir water and the dam's upstream face, thus saving many DOFs, improving computational efficiency, and facilitating large-scale numerical analysis. Using this method [50] to simulate a reservoir, Xu et al [45,48] further developed a nonlinear dynamic coupling method for CFRD-reservoir systems based on the FEM-SBFEM approach. Fortunately, this method [45,50] is suitable for constructing polyhedral fluid elements and can be seamlessly integrated with a (octree) cross-scale dam analysis system based on polyhedron SBFEM.…”

Section: Introductionmentioning

confidence: 99%

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A Novel Calculation Method of Hydrodynamic Pressure Based on Polyhedron SBFEM and Its Application in Nonlinear Cross-Scale CFRD-Reservoir Systems

Yan

et al. 2022

Water

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Hydrodynamic pressure is an important factor that cannot be ignored in the seismic safety evaluation of dams. However, when the polyhedron-scaled boundary finite element method is used to simulate dams in a cross-scale dynamic analysis, polygonal surfaces often appear on the upstream face of dams, which is difficult to deal with for conventional methods of hydrodynamic pressure. In this paper, a three-dimensional calculation method of hydrodynamic pressure based on the polyhedron-scaled boundary finite element method is proposed, in which polygon (triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, etc.) semi-infinite prismatic fluid elements are constructed using the mean-value shape function. The proposed method, with a high efficiency, overcomes the limitation of conventional methods in which only quadrangle or triangle boundary faces of elements are permitted. The accuracy of the proposed method is proved to be high when considering various factors. Furthermore, combined with the polyhedron-scaled boundary finite element method for a solid dam, the proposed method for reservoir water is used to develop a nonlinear dynamic coupling method for cross-scale concrete-faced rockfill dam-reservoir systems based on the polyhedron SBFEM. The results of the numerical analysis show that when the hydrodynamic pressure is not considered, the error of rockfill dynamic acceleration and displacement could reach 15.4% and 12.7%, respectively, and the error of dynamic face slabs’ stresses could be 24.9%, which is not conducive to a reasonable seismic safety evaluation of dams.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Novel Calculation Method of Hydrodynamic Pressure Based on Polyhedron SBFEM and Its Application in Nonlinear Cross-Scale CFRD-Reservoir Systems

Yan

et al. 2022

Water

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“…The SBFEM [15,16] as a semi-analysis approach has been widely used to analyze different problems, such as fracture mechanics [17][18][19], electromagnetic field [20][21][22], hydraulic structures [23][24][25][26][27], heat conduction [28], and so on. The SBFEM inherits the advantages of the BEM and FEM with some unique properties of its own.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Quadruple Corner-Cut Ridged Elliptical Waveguide by NURBS Enhanced Scaled Boundary Finite Element Method

Xue

Lei

et al. 2021

IEEE Access

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The scaled boundary finite element method(SBFEM) is a semi-analysis method, combing the advantages of boundary element method and finite element method. However, in solving the quadruple corner-cut ridged elliptical(QCRE) waveguide, the traditional SBFEM employ the Lagrange polynomials as the basis functions which leads to the curved boundaries cannot be exactly represented and the continuity order across element is low. In this paper, a non-uniform rational B-spline (NURBS) enhanced SBFEM is firstly extended to solve the QCRE waveguide, which can exactly describe the curved boundaries, reduce the spatial dimensions by one and obtain analytically results in the radial direction. According to its symmetry, only a quarter of the ridged elliptical waveguide needs to be simulated and subdivided into several subdomains. The curved boundaries and straight boundaries of the subdomains are described and discretized by the NURBS and Lagrange basis functions, respectively. The side-face boundaries do not need to be discretized. Then, the NURBS enhanced SBFEM governing equation of the waveguide eigenvalue problem is derived based on the vibrational principle and scaled boundary coordinate transforming. Finally, a generalized eigenvalue equation respecting to the cut-off wave numbers is established by introducing the boundary dynamic stiffness and employing a continued fraction solution. Numerical results verify the high computational efficiency and accuracy of the NURBS enhanced SBFEM with exactly describing the curved boundaries. The influence of the corner-cut on the cut-off wave numbers of several modes and single-mode bandwidth are investigated in details.INDEX TERMS scaled boundary finite element method, elliptical waveguide, NURBS basis function, quadruple corner-cut ridge, cut-off wave number.

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“…These advantages of the SBFEM provide much more classical application in the fields of wave propagation (Bazyar and Song, 2006, 2017; Gravenkamp et al., 2017), fracture mechanics (Long et al., 2017; Ooi et al., 2017), fluid mechanics (Wang et al., 2016a; Wang et al., 2016b), etc. Based on the recently developed scaled boundary finite element procedure, the hydrodynamic analysis of dam–reservoir systems has been considered (Lin et al., 2012; Wang et al., 2013; Xu et al., 2016, 2017). In the framework of SBFEM, this paper presents a novel approach to consider reservoir geometry effects on the frequency response of hydrodynamic pressure as well as in the distribution of hydrodynamic pressure over the dam faces.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic pressures on arch dam faces with irregular reservoir geometry

Wang

Guo

2018

Journal of Vibration and Control

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A scaled boundary finite element method is developed for the analysis of hydrodynamic pressures acting on arch dam faces with a reservoir of irregular geometry. Water compressibility and reservoir boundary absorption are considered simultaneously. The reservoir is idealized as composed of finite and infinite subdomains. Governing equations for evaluating hydrodynamic pressures of finite fluid domain have been established and the solution procedures are presented. In addition, the boundary conditions at the interface between finite and infinite subdomains are decided. Numerical examples validate the present method with high accuracy and show that the fairly irregular geometry of a reservoir has an important influence on the hydrodynamic pressures acting on the arch dam face. Frequency response functions of the hydrodynamic pressures in the stream and cross-stream directions are evidently influenced by reservoir geometry, while hydrodynamic pressures in the vertical direction are relatively less influenced. Another feature of the frequency response function of hydrodynamic pressures is that the amplitude of resonant peaks is affected much more by reservoir geometry as compared to the resonant frequency. Besides, peak value of hydrodynamic pressures in the arch direction and cantilever direction is also significantly influenced by reservoir geometry. Based on these facts, it can be concluded that the effect of reservoir geometry on hydrodynamic pressure should be considered for seismic design of arch dams.

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Study on the effects of hydrodynamic pressure on the dynamic stresses in slabs of high CFRD based on the scaled boundary finite-element method

Cited by 38 publications

References 38 publications

A Novel Calculation Method of Hydrodynamic Pressure Based on Polyhedron SBFEM and Its Application in Nonlinear Cross-Scale CFRD-Reservoir Systems

A Novel Calculation Method of Hydrodynamic Pressure Based on Polyhedron SBFEM and Its Application in Nonlinear Cross-Scale CFRD-Reservoir Systems

Analysis of Quadruple Corner-Cut Ridged Elliptical Waveguide by NURBS Enhanced Scaled Boundary Finite Element Method

Hydrodynamic pressures on arch dam faces with irregular reservoir geometry

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