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3D Adaptive FEM Analysis of Arch Dam and Study on Several Stability Criteria

Author: DiMingJie
Tutor: YangQiang
School: Tsinghua University
Course: Hydraulic Engineering
Keywords: Adaptive finite element Error estimates Mesh refinement Thrust angle Unbalanced force
CLC: TV642.4
Type: Master's thesis
Year: 2005
Downloads: 178
Quote: 4
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Abstract


This paper studies the evaluation of numerical methods to calculate the accuracy of adaptive finite element technology and its applications. Use ZZ posteriori error estimation methods, and h-adaptive strategy adaptive analysis of three-dimensional linear elastic three typical examples, thrust angle and the theory of unbalanced force is applied to the Xiluodu arch dam stability and reinforcement of the analysis. The papers mainly include the following: The first part of the grid error estimation theory, the analysis showed that the best the ZZ method is effective based on the convergence theory. The use of ZZ posteriori error estimation methods, and h-adaptive finite element analysis method, Marc procedures as computational tools to achieve the numerical solution of the finite element accuracy estimates. Example that has good convergence of this technology, to achieve the final calculation accuracy requirements, and the following conclusions: (1) In this paper, the method of error estimation, adaptive strategy of linear elastic problem. Adaptive finite element method has advantages of high accuracy, and fast convergence for solving the problem of stress concentration; (2) mesh refinement process, ZZ posteriori error continue to decrease and eventually approach a constant value; (3) for a homogeneous material non-stress singularity area is convergent, adaptive meshing, the more computational grid refinement, the higher the accuracy of the resulting finite element solution; (4) for different grid refinement level, adaptive encryption final can achieve stable convergence error value is different, the maximum mesh refinement level increase so that ultimately can achieve stable error value decreases; (5) for the solution of the problem of stress concentration, the unit must be pre-set maximum fine of cell level, i.e. the smallest size, and based on this calculated adaptive. The second part of the Xiluodu arch dam stability analysis of three-dimensional nonlinear finite element simulation of the major faults in the rock arch dam in the various conditions of displacement, stress, point safety, as well as arch dam the overall stability of the calculation and analysis. Third part through the Xiluodu Arch Dam arch end thrust angle and unbalanced force, the following conclusions: (1) non-linear calculation more flexible computing thrust angle; nonlinear computation arch dam increased overload process both the thrust angle of elevation segment, which reflects the internal mechanism of the arch dam with high overload capacity; (2) The total complementary energy range of the number of sense, not determine elastoplastic constitutive relation of equipoise or reinforcement force is the smallest, the elastoplastic calculation to determine the reinforcement force and true solution on the safe side. The arch dam Calculation unbalanced force analysis on the the analysis structural stability, guidance reinforcement design.

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CLC: > Industrial Technology > Hydraulic Engineering > Water control,hydraulic structures > Dams > Concrete dam > Arch dam
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