• 제목/요약/키워드: Finite Analytic Method

검색결과 306건 처리시간 0.026초

소규모 사각형 박지순환에 대한 유한해석법과 유한차분법의 비교연구 (A Comparative Study on Application of FAM and FDM to Small Rectangular Basin Circulation)

  • 최성열;조원철;이원환
    • 대한토목학회논문집
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    • 제14권6호
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    • pp.1341-1348
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    • 1994
  • 본 연구는 박지입구에서의 흐름이 갖는 전단력에 의해 발생하는 박지내의 순환현상을 파악하기 위한 기초적 연구로서, 이를 위해 유한해석법을 이용하여 박지유동모형을 구성하였으며, 이를 유한차분법에 의한 유동모형과 비교해 봄으로써 다음과 같은 성과를 얻었다. 격자간격이 Von Neumann 안정조건에 근접함에 따라 Askren의 유한차분법 모형에서는 정상상태로의 수렴시간이 길어졌으나 유한해석 모형에서는 보다 짧은 시간내에 정상상태로 수렴하는 것으로 나타났으며, 특히 격자간격이 안정조건을 넘는 영역에서 Askren의 유한차분 모형에서는 발산현상이 일어나는데 반해 유한해석 모형에서는 해가 수렴하는 것으로 나타났다. 또한 박지 Reynolds수가 큰 유동에 대해서는 유한해석법을 사용함으로써 보다 적은 계산단계에서 정상수치해를 얻을 수 있는 것으로 나타났다.

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경계적분방정식을 이용한 축대칭 열전도 고체의 형상설계민감도 해석 (Shape Design Sensitivity Analysis of Axisymmetric Thermal Conducting Solids Using Boundary Integral Equations)

  • 이부윤
    • 대한기계학회논문집
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    • 제17권1호
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    • pp.141-152
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    • 1993
  • 본 연구에서는 축대칭 열전도 고체의 형상설계민감도 해석을 위하여 2차원 문 제를 다룬 Lee, Choi와 Kwak의 방법을 축대칭 문제로 확장하였다.축대칭 형태로 표 시된 직접 및 간접 경계적분방정식의 정식화에 기초하여 전미분방접과 보조변수방법으 로 형상최적화 문제에서 발생하는 일반적인 성능 범함수의 형상설계민감도 공식을 유 도하고, 온도 및 열속의 제한조건에 이를 응용하였다. 제시된 민감도해석방법의 정 확성을 검증하기 위하여 해석적인 해를 갖는 원통문제와 구문제를 다루었는데, 두 문 제에 대하여 민감도 공식을 이용하여 수치계산된 결과를 해석적인 민감도와 비교하였 다. 또한 복잡한 수치해로서 냉각핀(cooling fin)문제를 다루었으며, 민감도 공식에 의한 계산 결과를 유한차분(finite difference)으로 수치미분한 결과와 비교하였다.

An Elastic-Plastic Stress Analysis in Silicon Carbide Fiber Reinforced Magnesium Metal Matrix Composite Beam Having Rectangular Cross Section Under Transverse Loading

  • Okumus, Fuat
    • Journal of Mechanical Science and Technology
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    • 제18권2호
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    • pp.221-229
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    • 2004
  • In this work, an elastic-plastic stress analysis has been conducted for silicon carbide fiber reinforced magnesium metal matrix composite beam. The composite beam has a rectangular cross section. The beam is cantilevered and is loaded by a single force at its free end. In solution, the composite beam is assumed perfectly plastic to simplify the investigation. An analytical solution is presented for the elastic-plastic regions. In order to verify the analytic solution results were compared with the finite element method. An rectangular element with nine nodes has been choosen. Composite plate is meshed into 48 elements and 228 nodes with simply supported and in-plane loading condations. Predictions of the stress distributions of the beam using finite elements were overall in good agreement with analytic values. Stress distributions of the composite beam are calculated with respect to its fiber orientation. Orientation angles of the fiber are chosen as $0^{circ},\;30^{circ},\;45^{circ},\;60^{circ}\;and\;90^{circ}$. The plastic zone expands more at the upper side of the composite beam than at the lower side for $30^{circ},\;45^{circ}\;and\;60^{circ}$ orientation angles. Residual stress components of ${\sigma}_{x}\;and \;{\tau}_{xy}$ are also found in the section of the composite beam.

오메가형 벨로즈관의 성형을 위한 유한요소해석 (Finite Element Analysis for Forming Processes of $\Omega$-type Bellows Tube)

  • 이정훈;김낙수;전병희
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1997년도 춘계학술대회논문집
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    • pp.165-170
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    • 1997
  • The study presents an computer-aided analysis and its design for the forming process of $\Omega$-type bellows tube. Finite element analysis was carried out to perform the process simulation. Based on the analytic results of various conditions, the forming conditions used for angled U-type bellows tube were settled. The 3D modeling was constructed by I-DEAS and PAM-STAMP was used for process simulation. It is concluded that the spring back of formed bellows influences $\Omega$-shape and these results can be used for the process design.

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A receding contact problem of a layer resting on a half plane

  • Karabulut, Pembe Merve;Adiyaman, Gokhan;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제64권4호
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    • pp.505-513
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    • 2017
  • In this paper, a receding contact problem for an elastic layer resting on a half plane is considered. The layer is pressed by two rectangular stamps placed symmetrically. It is assumed that the contact surfaces are frictionless and only compressive traction can be transmitted through the contact surfaces. In addition the effect of body forces is neglected. Firstly, the problem is solved analytically based on theory of elasticity. In this solution, the problem is reduced into a system of singular integral equations in which half contact length and contact pressures are unknowns using boundary conditions and integral transform techniques. This system is solved numerically using Gauss-Jacobi integral formulation. Secondly, two dimensional finite element analysis of the problem is carried out using ANSYS. The dimensionless quantities for the contact length and the contact pressures are calculated under various stamp size, stamp position and material properties using both solutions. The analytic results are verified by comparison with finite element results.

Al6061-T6 판재의 마찰교반용접 3D 유한요소 해석 (3D Finite Element Analysis of Friction Stir Welding of Al6061 Plates)

  • 구병춘;정현승
    • Journal of Welding and Joining
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    • 제29권4호
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    • pp.73-79
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    • 2011
  • Friction stir welding (FSW) is a solid state joining method patented in 1991 by The Welding Institute (TWI). It is widely used for joining light metals such as Al and Mg alloys. Foreign railway vehicle manufacturing companies have been applying FSW to car body welding, but domestic companies are in the beginning of feasibility study. Therefore, lots of experimental and analytical study is needed. In this study, three-dimensional finite element modeling of the friction stir welding of two Al6061-T6 plates was carried out. And temperature field and residual stresses were obtained and compared to experimental results in the literature. It is found the analytic thermal field is in a good agreement with the experimental results, but there are some differences between numerical and experimental residual stresses.

오메가형 벨로즈관의 성형공정을 위한 유한요소해석 (Finite Element Analysis for Forming Processes of $\OMEGA$ -Type Bellows Tubes)

  • 이정훈;김낙수;전병희
    • 한국정밀공학회지
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    • 제14권10호
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    • pp.85-90
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    • 1997
  • The study presents a computer-aided analysis and its design for the forming process of .OMEGA. -type bellows tubes. Finite element analysis was carried out to perform the process simulation. Bsed on the analytic results of various conditions, the forming conditions used for angled U-type bellows tubes were determined. The 3-D modeling was constructed by I-DEAS and the process simulation was constructed by PAM- STAMP. It is concluded that the difference of height between die and bellows during the forming process causes a non-uniform shape of the bellows and also influences .OMEGA. -shape. These results can be utilized for the process design.

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세라믹스 분말 가압 성형 공정 변수설계(2부: 최적화) (Design of ceramics powder compaction process parameters (Part Ⅱ : Optimization))

  • 김정래;금영탁
    • 한국결정성장학회지
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    • 제15권1호
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    • pp.27-33
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    • 2005
  • 본 연구에서는 세라믹 제품의 고밀도를 얻기 위해 분말 압축 성형 공정 변수의 최적화가 수행되었다. 이를 위해 먼저 임의의 초기 밀도를 갖는 분말 성형체를 모델링하였다. 그리고 반복 가압 성형 공정시 상대밀도에 영향을 주는 Al₂O₃ 입자의 크기, 반복 가압 진폭 크기, 그리고 마찰계수에 따른 상대밀도의 변화를 유한요소법으로 해석하였다. 유한요소 해석 결과를 반응 표면법으로 수식화한 후, 격자 탐색법으로 가압 성형 공정 변수의 최적 조건을 찾았다. 입자의 크기가 22.5 ㎛, 반복 가압 진폭이 75 MPa, 마찰계수가 0.1103인 경우에 상대 밀도 값이 0.9390으로 최대가 되었다.

유한요소법을 이용한 천수방정식의 수치실험 (Numerical Experiments of Shallow Water Eqs. by FEM)

  • 최성욱;이길성
    • 대한토목학회논문집
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    • 제10권4호
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    • pp.141-150
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    • 1990
  • 하구나 연안에서 해수의 순환형상을 모사(模寫)하게 위해 천수방정식(淺水方程式)을 여러 가지 경계조건 하에서 수치해석하였다. 공간영역은 Galerkin방법으로 이산화(離散化)하였으며 시간영역에 대해서는 유한차분법(Crank-Nicolson방법)을 사용하였다. 네 가지 검정실험이 해석적인 해가 있는 일차원 수로에서 행하여졌으며, 해석해를 구할 수 없는 이차원 모형에도 적용되었다. 해석해가 있는 경우 수치모사 결과가 이와 잘 일치하였으며, 이차원 모형에서의 결과도 매우 합당함을 알 수 있었다. 또 일차원 문제에서 4점 bilinear요소와 삼각형 요소를 사용한 결과를 각각 비교하였으며 시간적분도 2단계 Lax-Wendroff방법을 사용하여 결과를 비교하였다. 음해법을 사용할 경우 비교적 정확한 결과를 얻을 수 있으나 요소의 갯수가 많아지면 구성되는 대수방정식(代數方程式)이 커지기 때문에 각 시간마다의 계산량이 엄청나게 늘어나게 되며 양해법을 사용할 때는 원하는 만큼의 정확한 결과를 얻기 위하여 시간간격이나 공간격자 간격을 선정하는데 각별히 유의하여야 할 것이다.

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Strain distribution between CFRP strip and concrete at strengthened RC beam against shear

  • Anil, Ozgur;Bulut, Nalan;Ayhan, Murat
    • Structural Engineering and Mechanics
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    • 제41권4호
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    • pp.509-525
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    • 2012
  • In recent years, CFRP material usage in strengthening applications gradually became widespread. Especially, the studies on the strengthening of shear deficient reinforced concrete beams with CFRP strips are chosen as a subject to numerous experimental studies and research on this subject are increased rapidly. The most important variable, that is affected on the failure mode of CFRP strips and that is needed for determining the shear capacity of the strengthened reinforced concrete beams, is the strain distribution between CFRP strips and concrete. Numerous experimental studies are encountered in the literature about the determination of strain distribution between CFRP strips and concrete. However, these studies mainly focused on the CFRP strips under axial tension. There are very limited numbers of experimental and analytic studies examining the strain distribution between concrete and CFRP strips, which are under combined stresses due to the effects of shear force and bending moment. For this reason, existing experimental study in the literature is used as model for ANSYS finite element software. Nonlinear finite element analysis of RC beams strengthened against shear with CFRP strips under reverse cyclic loading is performed. The strain distributions between CFRP strips and concrete that is obtained from finite element analysis are compared with the results of experimental measurements. It is seen that the experimental results are consisted with the results derived from the finite element analysis and important findings on the strain distribution profile are reached by obtaining strain values of many points using finite element method.