• Title/Summary/Keyword: 혼합유한요소법

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선형 탄성방정식의 유한요소해법과 잠김현상

  • 이창옥
    • Communications of the Korean Mathematical Society
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    • v.16 no.4
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    • pp.543-566
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    • 2001
  • 이차원 선형 탄성방정식을 소개하고 약한 형식 타원성을 보여준다(P-1)순응 유한요소를 사용할 때 나타나는 잠김현상을 설명하고 그 해결책으로서 비순응 유한요소법과 penalty 항을 가진 혼합문제, 일계 최소자승법 등을 소개한다.

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An Analysis of the Hybrid Finite Element Method for Scattering and Radiation by Microstrip Patch Antennas and Arrays Residing in a Cavity in a Ground Plane (접지평면상의 공간에 위치한 마이크로스트립 페치 단일 안테나와 배열 안테나에 의한 산란과 복 사에 관한 혼합유한요소법 해석)

  • 안중수;박동희;권희훈
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.12
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    • pp.2468-2478
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    • 1994
  • A hybrid finite element method is presented for a characterization of scattering an radiation properties of microstrip patch and arrays residing in a cavity recessed in a ground plane. The technique combines the finite element and boundary integral methods to formulate a system for the solution of fields at the aperture and the scattering field and radar cross sections at free space. By virture of the finite element method, the proposed technique is applicable to patch antennas and arrays residing on or embeded in a layered dielectric loss/lossless substrate and is also capable of treating various feed configuration. Several numerical results are presented demonstrating the validity, efficiency and capability of the technique.

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Stress Intensity Factor Calculation Using the Hybrid Formulation of Boundary and Finite Element Method (1st Report) (경계요소-유한요소 혼합법에 의한 균열선단의 응력강도계수 계산 (제1보))

  • In-Sik Nho;Chae-Whan Rim
    • Journal of the Society of Naval Architects of Korea
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    • v.35 no.4
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    • pp.38-45
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    • 1998
  • It is a tedious and excessive time consuming process to model the local area of crack tip part of structures in calculation of stress intensity factors by FEM. So, in this paper, the hybrid method of FEM and BEM approach was formulated to overcome this type of problems. The multi-domained BEM was adopted to simplify the modelling process of complex geometry and singularity characteristics of crack tip part and the ordinary FEM modelling was used in the rest part. The example calculations shows very good results compared with analytic solutions and other numerical method.

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Nonlinear Analysis of the Connections with Reinforced Concrete Column and Steel Beam using Finite Element Method (유한요소법을 이용한 혼합구조 접합부의 비선형 해석)

  • Hong, Seong-Hoon;Ryu, Cheon;Lee, Li-Hyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.363-370
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    • 1999
  • This study presented an modeling method for the connections in mixed structure with reinforced concrete columns and steel beam using finite element method. The contacting surfaces between concrete and steel are modeled using master-slave contact algorithm and the incompatible mode elements were used in the steel tube subjected to bending. The characteristics of mixed structure was that diaphragm was used for transferring force from beam to column. The three dimensional nonlinear analysis was performed and the analytical results compared with experimental results in order to prove modeling method.

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Structural Analysis of Thin-walled Beams by Using a Mixed Finite Element Method (혼합형 유한요소법에 의한 박판보의 구조해석)

  • Park, Seong-Whan
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.4
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    • pp.99-107
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    • 1997
  • A mixed type finite element method is applied to the nonuniform shear warping beam theory which is very useful for the structural analysis of thin-walled sectional beams considering the shear deformation. As known generally, it is shown that the mixed type finite element method, compared with the displacement type one, can give more balanced accuracy of results in calculating the stresses and displacements of the structure. In this paper, one typical example, the flexural-torsional problem of a discontinuously variable sectional beam under coupled end torsional moments, is selected and analyzed to validate the usefulness of the developed beam element.

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Dynamic Characteristics of Nonlinear Beam Shear Deformation (전단변형을 고려한 비선형 보의 동적특성에 관한 연구)

  • Park, Sungjin;Baek, Jooeun
    • Journal of the Society of Disaster Information
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    • v.12 no.1
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    • pp.69-73
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    • 2016
  • In this study, the applicability and validity of collocation method to nonlinear vibration issues in comparison to other solutions are confirmed, and the applicability of collocation method to nonlinear dynamic response issues in comparison to the response curve with F.E.M results is examined. Also, it is also examined how the influence of axial inertia varies according to the size of slenderness ratio.

A Finite Element Based PML Method for Time-domain Electromagnetic Wave Propagation Analysis (시간영역 전자기파 전파해석을 위한 유한요소기반 PML 기법)

  • Yi, Sang-Ri;Kim, Boyoung;Kang, Jun Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.2
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    • pp.123-130
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    • 2015
  • This paper presents a new formulation for transient simulations of microwave propagation in heterogeneous unbounded domains. In particular, perfectly-matched-layers(PMLs) are introduced to allow for wave absorption at artificial boundaries used to truncate the infinite extent of the physical domains. The development of the electromagnetic PML targets the application to engineering mechanics problems such as structural health monitoring and inverse medium problems. To formulate the PML for plane electromagnetic waves, a complex coordinate transformation is introduced to Maxwell's equations in the frequency-domain. Then the PML-endowed partial differential equations(PDEs) for transient electromagnetic waves are recovered by the application of the inverse Fourier transform to the frequency-domain equations. A mixed finite element method is employed to solve the time-domain PDEs for electric and magnetic fields in the PML-truncated domain. Numerical results are presented for plane microwaves propagating through concrete structures, and the accuracy of solutions is investigated by a series of error analyses.

A Study on the Criterion for Membrane/Shell Mixed Element and Application to the Rigid-Plastic/Elastic-Plastic Finite Element Analysis (박막/쉘 혼합요소의 판별조건과 강소성/탄소성 유한요소해석 적용에 관한 연구)

  • Jung, Dong-Won;Yang, Kyoung-Boo
    • Journal of Ocean Engineering and Technology
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    • v.13 no.2 s.32
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    • pp.1-10
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    • 1999
  • This study is concerned with the application of new criterion for membrane/shell mixed element in the rigid-plastic finite element analysis and elastic-plastic finite element analysis. The membrane/shell mixed element can be selctively adapted to the pure stretching condition by using membrane or a shell element in the bending effect areas. Thus, membrane/shell mixed element requires a efficient criterion for a distinction between membrane and shell element. In the present study introduce the criterion using the angle of between two element and confirm a generality of criterion from appling the theory to a rigid-plastic and elastic-plastic problems.

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A Study on the r-h methods in Finite Element Analysis (유한요소해석에서 r-h형 적응법에 관한 연구)

  • 김동일;유형선
    • Computational Structural Engineering
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    • v.6 no.3
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    • pp.125-137
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    • 1993
  • Recently, many researches are being dealt with the adaptive method for improving the accuracy of finite element solution. This paper deals with rh-methods that are the combination of r and h-method ; r-method is to relocate the nodes for the grid optimization, h-method is to divide the elements with great error into the equal shape. As a results, rh-method has the same error decrease and convergence as h-method in the same degree of freedom, but it has more exact result of finite element in the state of restraining degrees of freedom than h-method alone.

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Study of a Mixed Finite Element Model for the Analysis of a Geometrically Nonlinear Plate (기하학적 비선형 판재 해석을 위한 혼합형 FE Model 연구)

  • Kim, Woo-Ram;Choi, Youn-Dae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.10
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    • pp.1427-1435
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    • 2010
  • A mixed finite element model was developed using the classical plate theory to analyze the nonlinear bending of a plate. The appropriate weight functions for the constraints integrated over the domain were determined by the Lagrange multiplier method by using the principle of minimum virtual energy; which provides the constitutive relations between force-like variables and strains. All of detail terms of element wise coefficient matrices and associate tangent matrices to be used in the Newton iterative method are presented. Then, the linear solutions of the current model and those of the traditional displacement model under the SS (simple support) boundary conditions were compared with the existing analytical solution. The post-processed images of the nonlinear results of the force-like variables are presented to show the continuity of the solutions at the joint of the element boundaries. Finally, the converged nonlinear finite element solutions of the current model are compared with those of existing traditional displacement model.