• Title/Summary/Keyword: Algorithm Element

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Automatic Quadrilateral Mesh Generation for Large Deformation Finite Element Analysis (대변형 유한요소해석을 위한 요소망 자동 생성기법)

  • 김동준;최호준;장동환;임중연;이호용;황병복
    • Transactions of Materials Processing
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    • v.12 no.3
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    • pp.194-201
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    • 2003
  • An automatic quadrilateral mesh generator for large deformation finite element analysis such as metal forming simulation was developed. The NURBS interpolation method is used for modeling arbitrary 2-D free surface. This mesh generation technique is the modified paving algorithm, which is an advancing front technique with element-by-element resolving method for paving boundary intersection problem. The mesh density for higher analysis accuracy and less analysis time can be easily controlled with high-density points, maximum and minimum element size. A couple of application to large deformation finite element analysis is given as an example, which shows versatility and applicability of the proposed approach and the developed mesh generator for large deformation finite element analysis.

Automatic Mesh Generation by Delaunay Triangulation and Its Application to Remeshing (Delaunay 삼각화기법을 이용한 유한요소망의 자동생성과 격자재구성에의 응용)

  • Jeong, Hyeon-Seok;Kim, Yong-Hwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.2
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    • pp.553-563
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    • 1996
  • An algorithm for automatic mesh generation of two-dimensional arbitrary planar domain is proposed by using Delaunay triangulation algorithm. An efficient algorithm is proposed for the construction of Delaunay triangulation algorithm over convex planar domain. From the definition of boundary, boundary nodes are first defined and then interior nodes are generated ensuring the Delaunay property. These interior nodes and the boundary nodes are then linked up together to produce a valid triangular mesh for any finite element analysis. Through the various example, it is found that high-quality triangular element meshes are obtained by Delaunay algorithm, showing the robustness of the current method. The proposed mesh generation scheme has been extended to automatic remeshing, which is applicable to FE analysis including large deformation and large distortion of elements.

An Auto-tuning Algorithm of PI Controller Using Time Delay Element (시간 지연 요소를 이용한 PI 제어기 자동 동조 알고리즘)

  • Oh, Seung-Rohk
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.6
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    • pp.1-5
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    • 2010
  • We propose an algorithm which can classify the system should use a PI controller, which have a weak high frequency attenuation characteristics near the critical frequency. To classify the system, we use a time delay element to calculate a gain attenuation rate near the critical frequency. The proposed algorithm also can design PI controller with the given magnitude margin and phase margin specification. The proposed algorithm uses time delay element and saturation function to identify the one point information in frequency domain. We justify the proposed algorithm via the simulation.

Optimization of a Membrane with a Center Hole using Natural Element Method and Genetic Algorithm (자연요소법과 유전자 알고리듬을 사용한 원공 평판의 최적설계)

  • Lee, Sang-Bum;Seong, Hwal-Gyeng;Cheon, Ho-Jeong
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.2
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    • pp.105-114
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    • 2008
  • Natural element method (NEM) is quick in research activities by natural sciences and mechanical engineering fields, and from which good results are watched by various engineering fields and applied too. However no paper or research about the applied case has announced yet. Therefore on this paper, I will rediscover an optimum design and apply NEM into other fields with NEM for existing optimum design of mainly using FEM. NEM and genetic algorithm (GA) are applied to optimize a membrane with a center hole. The optimal design obtained by NEM is compared to the counterpart obtained by the finite element method (FEM). Result by NEM is found to be better than the result by FEM. NEM can be a feasible analysis tool in design optimization.

The Design of PI controller using a saturation function in frequency domain (포화함수를 이용한 주파수영역에서의 PI제어기설계)

  • Oh, Seung-Rohk
    • Proceedings of the IEEK Conference
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    • 2009.05a
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    • pp.326-328
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    • 2009
  • we an autotuning algorithm for PI controller with unknown plant. The proposed algorithm uses a saturation function and time delay element as a test signal. Since the integral element of PI controller reduces a phase margin and amplitude margin in the closed loop system, the closed loop system could be resulted in unstable with PI controller, To avoid unstable in the closed loop system with PI controller, the proposed algorithm identifies one point information in the 3rd quadrant of Nyquist plot with a time delay element. The proposed method improves an accuracy of one point identified information with one saturation function.

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A Combined Algorithm for the Solution of Nonlinear Finite Element Equations (비선형(非線型) 유한요소방정식(有限要素方程式)의 해법(解法)을 위한 조합(組合)알고리즘)

  • Ryu, Yeon Sun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.6 no.3
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    • pp.11-20
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    • 1986
  • The purpose of this study is to devise an efficient and economic solution algorithm for the nonlinear finite element equations. First, procedures and characteristics of the solution methods of ordinary nonlinear equations are critically reviewed and discussed. Based on the discussion, some promising nonlinear finite element analysis procedures are presented as an algorithmic form. Finally, a conceptually combined algorithm for a solution of nonlinear finite element equations is proposed and analyzed, in which the computational effort is minimized and numerical difficulties can be avoided.

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An Electrical Machine Design Technique Combining Magnetic Equivalent Circuit and Finite Element Methods (자기회로법과 유한요소법을 결합한 전기기기 설계)

  • Choi, Hong-Soon;Hahn, Song-Yop
    • Proceedings of the KIEE Conference
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    • 1999.11b
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    • pp.18-20
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    • 1999
  • In this paper, the space mapping algorithm is proposed for the design of electric machines. By the algorithm, we can combine the magnetic equivalent circuit and the finite element models mathematically and got the final design parameters with a few iterations while preserving the accuracy offered by the finite element model. The finite element model is generated by parametric techniques. For the validity of this algorithm, a simple permanent magnet device with fringing and leakage flux is dealt as a numerical example.

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Automatic Generation of 3-D Finite Element Meshes : Part(I) - Tetrahedron-Based Octree Encoding - (삼차원 유한요소의 자동생성 (1) - 사면체 옥트리의 구성 -)

  • 정융호;이건우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.12
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    • pp.3159-3174
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    • 1994
  • A simple octree encoding algorithm based on a tetrahedron root has been developed to be used for fully automatic generation of three dimensional finite element meshes. This algorithm starts octree decomposition from a tetrahedron root node instead of a hexahedron root node so that the terminal mode has the same topology as the final tetrahedral mesh. As a result, the terminal octant can be used as a tetrahedral finite element without transforming its topology. In this part(I) of the thesis, an efficient algorithm for the tetrahedron-based octree is proposed. For this development, the following problems have been solved, : (1) an efficient data structure for storing the octree and finite elements, (2) an encoding scheme of a tetrahedral octree, (3) a neighbor finding technique for the tetrahedron-based octree.

Reliability-based design optimization of structural systems using a hybrid genetic algorithm

  • Abbasnia, Reza;Shayanfar, Mohsenali;Khodam, Ali
    • Structural Engineering and Mechanics
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    • v.52 no.6
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    • pp.1099-1120
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    • 2014
  • In this paper, reliability-based design optimization (RBDO) of structures is addressed. For this purpose, the global search and optimization capabilities of genetic algorithm (GA) are combined with the efficiency and reasonable accuracy of an advanced moment-based finite element reliability method. For performing RBDO, three variants of GA including a real-coded, a binary-coded and an improved binary-coded GA are developed. In these methods, GA performs (finite element) reliability analyses to evaluate reliability constraints. For truss structures which include finite element modeling, reliability constraints are evaluated using finite element reliability analysis. Response sensitivity required for finite element reliability analysis is obtained by direct differentiation method (DDM) rather than finite difference method (FDM). The proposed methods are examined within four standard test examples and real-world design problems. The results illustrate the superiority and efficiency of the improved binary-coded GA. Results also illustrate that DDM significantly reduces the computational cost and improves the efficiency of the optimization procedure.

A Practical Finite Element Analysis Model for Hydrostatic Extrusion of a Biaxial Bar (이중봉 정수압 압출의 실용적 유한요소해석 모델)

  • Yoon, S.H.;Park, H.J.;Kim, E.Z.;Lee, S.;Lee, J.;Lee, G.A.;Kim, Y.B.;Lee, Y.S.
    • Transactions of Materials Processing
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    • v.22 no.3
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    • pp.143-149
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    • 2013
  • A new finite element model for the hydrostatic extrusion of a biaxial bar is introduced. In this model, a penalty contact algorithm, which is adopted to replace the traction boundary conditions due to the fluid in the container of the extruder, is incorporated into a consistent penalty finite element formulation for the viscoplastic deformation of a work piece during hydrostatic extrusion. Two parameters, introduced in the penalty contact algorithm in this study, a critical penalty contact pressure $P_0$ and a critical penalty contact distance $D_c$, are carefully examined for various process conditions. The proposed finite element model is applied to the hydrostatic extrusion of a Cu-clad Al bar. The extrusion loads and thickness ratios of the clad materials by the proposed model are compared in detail to values from experiments reported in the literature. Finally, it is concluded that the proposed finite element model is useful in practical implementations.