• Title/Summary/Keyword: Finite Element method

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Finite element solutions of natural convection in porous media under the freezing process (동결과정을 포함한 다공층에서 자연대류에 대한 유한요소 해석)

  • Lee, Moon-Hee;Choi, Chong-Wook;Seo, Suk-Jin;Park, Chan-Guk
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.51-56
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    • 2000
  • The Finite Element Solutions Is reported on solid-liquid phase change in porous media with natural convection including freezing. The model is based on volume averaged transport equations, while phase change is assumed to occur over a small temperature range. The FEM (Finite Element Method) algorithm used in this study is 3-step time-splitting method which requires much less execution time and computer storage the velocity-pressure integrated method and the penalty method. And the explicit Lax-Wendroff scheme is applied to nonlinear convective term in the energy equation. For natural convection including melting and solidification the numerical results show reasonable agreement with FDM (Finite Difference Method) results.

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An Automated Adaptive Finite Element Mesh Generation for Dynamics

  • Yoon, Chongyul
    • Journal of the Earthquake Engineering Society of Korea
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    • v.23 no.1
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    • pp.83-88
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    • 2019
  • Structural analysis remains as an essential part of any integrated civil engineering system in today's rapidly changing computing environment. Even with enormous advancements in capabilities of computers and mobile tools, enhancing computational efficiency of algorithms is necessary to meet the changing demands for quick real time response systems. The finite element method is still the most widely used method of computational structural analysis; a robust, reliable and automated finite element structural analysis module is essential in a modern integrated structural engineering system. To be a part of an automated finite element structural analysis, an efficient adaptive mesh generation scheme based on R-H refinement for the mesh and error estimates from representative strain values at Gauss points is described. A coefficient that depends on the shape of element is used to correct overly distorted elements. Two simple case studies show the validity and computational efficiency. The scheme is appropriate for nonlinear and dynamic problems in earthquake engineering which generally require a huge number of iterative computations.

Natural vibration analysis of coaxial shells coupled with fluid

  • Jhung, Myung Jo;Choi, Young Hwan;Jeong, Kyeong Hoon
    • Structural Engineering and Mechanics
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    • v.16 no.6
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    • pp.655-674
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    • 2003
  • Investigated in this study are the natural vibration characteristics of the coaxial cylindrical shells coupled with a fluid. Theoretical method is developed to find the natural frequencies of the shell using the finite Fourier series expansion, and their results are compared with those of finite element method to verify the validation of the method developed. The effect of the fluid-filled annulus and the boundary conditions on the modal characteristics of the coaxial shells is investigated using a finite element modeling.

Modal analysis of eccentric shells with fluid-filled annulus

  • Jhung, Myung Jo;Jeong, Kyeong Hoon;Hwang, Won Gul
    • Structural Engineering and Mechanics
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    • v.14 no.1
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    • pp.1-20
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    • 2002
  • Investigated in this study are the modal characteristics of the eccentric cylindrical shells with fluid-filled annulus. Theoretical method is developed to find the natural frequencies of the shell using the finite Fourier expansion, and their results are compared with those of finite element method to verify the validation of the method developed. The effect of eccentricity on the modal characteristics of the shells is investigated using a finite element modeling.

alysis by C-1 Finite Element Method (C-1 유한 요소법에 의한 자계해석에 관한 연구)

  • 임달호;김생수;김규탁
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.1
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    • pp.18-24
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    • 1988
  • Up to date, C-0 Finite Element Method which is the means for analyzing electric machinery can not be got the precision magnetic flux density because the magnetic flus density has the discontinuity in the interelement. To supplement this defect, we propose the C-1 finite element method of 9 D.O.F. in this paper. In this method, the vector potential and the magnetic flux density are continuous on the interelement and direction derivative of potential would be an unknown value. We developed the algorithm to apply this method. For examining the utility, we applied this method to analytic model and compared with the result of C-0 Finite Element Method using linear element.

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Static Non-linear Finite Element Analysis of Spatial Cable Networks (3차원 케이블망의 초기평형상태 결정 및 정적 비선형 유한요소해석)

  • 김문영;김남일;안상섭
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.179-190
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    • 1998
  • A geometrically nonlinear finite element formulation of spatial cable networks is presented using two cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary cable element are summarized. The load incremental method based on Newton-Raphson iteration method and the dynamic relaxation method are presented in order to determine the initial static state of cable nets subjected to self-weights and support motions. Furthermore, static non-linear analysis of cable structures under additional live loads are performed based on the initial configuration. Challenging example problems are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate static nonlinear behaviors of cable nets.

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Finite Element Analysis of Electromagnetic Systems Considering Hysteresis Characteristics (히스테리시스 특성을 고려한 전자계의 유한 요소 해석)

  • Kim, Hong-Gyu;Hong, Seon-Gi;Jeong, Hyeon-Gyo
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.3
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    • pp.118-123
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    • 1999
  • This paper describes the finite element procedure including the magnetic hysteresis phenomena. The magnetization-dependent Preisach model is employed to simulate the magnetic hysteresis and applied to each elements. Magnetization is calculated by the Fibonacci search method for the applied field in the implementation of the magnetization-dependent model. This can calculate the magnetization very accurately with small iteration numbers. The magnetic field intensity and the magnetization corresponding to the magnetic flux density obtained by the finite element analysis(FEA) are computed at the same time under the condition that these balues must satisfy the constitutive equation. In order to reduce the total calculation cost, pseudo-permeability is used for the input for the FEA. It is found that the presented method is very useful in combining the hysteresis model with the finite element method.

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LARGE TIME-STEPPING METHOD BASED ON THE FINITE ELEMENT DISCRETIZATION FOR THE CAHN-HILLIARD EQUATION

  • Yang, Yanfang;Feng, Xinlong;He, Yinnian
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1129-1141
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    • 2011
  • In this paper, a class of large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation with the Neumann boundary conditions is developed. The equation is discretized by finite element method in space and semi-implicit schemes in time. For the first order fully discrete scheme, convergence property is investigated by using finite element analysis. Numerical experiment is presented, which demonstrates the effectiveness of the large time-stepping approaches.

Residual Stress Analysis of AISI 304 Surface Welding Plate by 3D Finite Element Method (3 차원 유한요소법을 이용한 AISI 304 표면용접평판의 잔류응력해석)

  • Lee, Kyoung-Soo;Kim, Tae-Ryong;Kim, Maan-Won;Park, Jai-Hak
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.390-395
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    • 2008
  • This study is performed to understand three dimensional characteristics of weld residual stress for the surface weld on the stainless steel plate. AISI 304 plate with one path weld on the surface was used as a test specimen. Finite element analysis was done to analyze thermal transient and residual stress due to weld. The result of finite element analysis was validated by previous paper and measurement data. Among various techniques for residual stress measurement, instrumented ball indentation method was applied. The calculated residual stresses by finite element analysis showed good agreement with the measured results.

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The Elasto-Plastic Finite Element Analysis of Ductile Fracture in Shape Rolling (형상압연시 연성파괴의 탄소성 유한요소해석)

  • 원영목;오규환
    • Transactions of Materials Processing
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    • v.5 no.1
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    • pp.72-80
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    • 1996
  • During the shape rolling process the influence of reduction ration and taper of shape roller on deformation and limit of ductile fracture such as free surface cracks developing in the workpiece has been studied. The deformation behaviours were analyzed by the 3-dimensional elasto-pastic finite element method and the conditions of ductile fracture were determined from 3-dimensional elasto-plastic finite element method and modified Cockrogt-Latham criterion. The deformed geometry and prediction of ductile fracture by 3-dimensional elasto-plastic finite element method are compared with experimental results The calcuated results are in good agreements with experimental data. The analysis used in the study was found to be effective in predicting the shape rolling process.

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