• Title/Summary/Keyword: 유한요소망

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Automatic Tetrahedral Mesh Generation Using Advancing Front Technique with Node Searching (절점 탐색이 적용된 전진경계법에 의한 사면체 요소망의 자동생성)

  • 전성재;채수원
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.3
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    • pp.91-99
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    • 2004
  • An unstructured tetrahedral mesh generation algorithm has been presented. In order to construct better meshes in interior region by using an advancing front technique, a connecting operator and a local finishing operator II have been developed in addition to the existing operators. Before applying digging operators that generate new nodes inside of a meshing region, a connecting operator is employed that uses existing nodes which satisfy certain conditions for producing well-conditioned elements. The local finishing operator II is introduced to terminate the meshing process more flexibly on remaining subregions. With these new operators, tetrahedral meshing process becomes more robust and good quality of meshes are constructed.

Microcomputer-Based Post-Processorfor Large Finite Element Analysis (대규모 유한요소해석에 활용되는 소형컴퓨터용 후처리 그래픽 프로그램)

  • 이성우;이선구;이태연
    • Computational Structural Engineering
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    • v.2 no.4
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    • pp.69-77
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    • 1989
  • Until recently post-processing of finite element model has been heavily relied on expensive graphic peripheral devices. With the aid of inexpensive microcomputers, very economical post-processor graphics program called MICRO-POST has been developed. Model geometry or results of analysis for the unlimited meshes can be easily presented in a number of low-cost graphic devices. The paper presents the procedure obtaining the device-independent graphics, and the structure and functions of the program. It also describes efficient I/O scheme to overcome the memory limitation, and dialogue-type input technique to control the plot operation in an interactive manner. Through the post processing examples for the general purpose finite element programs, it demonstrates the usefulness of the program.

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Development of FEM Algorithm for Modeling Bed Elevation Change (하상변동 수치모의를 위한 유한요소법 알고리즘 개발)

  • Kim, Tae-Beom;Choi, Sung-Uk;Min, Kyung-Duck
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.588-593
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    • 2006
  • 자연하천은 일반적으로 만곡수로나 사행수로 형태를 보이고 있으며, 직선수로에서와 달리 원심력에 기인한 이차류 영향을 받게 된다. 이차류에 의해서 수면에서는 만곡부 바깥쪽으로, 하상에서는 만곡부 안쪽으로의 흐름특성을 보이게 된다. 만곡부 안쪽으로 가해지는 하상 전단응력에 기인하여 하상에서의 입자가 만곡부 안쪽으로 이송되며, 결과적으로 만곡부 안쪽에는 점사주가, 바깥쪽에는 소(pool)가 생성된다. 또한 지형경사의 생성으로 입자에 가해지는 중력효과도 변화된다. 따라서 이와 같은 자연하천의 흐름과 하상변동을 수치모의 하기 위해서는 만곡부 이차류 특성을 고려한 모형이 필요하다. 본 연구에서는 수심 적분된 흐름방정식과 하상토 보존방정식 (Exner equation)을 이용한 하상변동을 위한 비연계 수치모형을 위해서 하상토 보존방정식의 유한요소 알고리즘을 개발하였다. 하상토 보존방정식은 흐름 특성에 따른 평형 유사량의 공간변화율을 이용하여 일정 기간 동안의 하상 변화량을 계산한다. 이 때 이차류에 의한 하상 전단응력의 편각 및 지형경사 변화에 따른 실제 입자의 이송방향을 보정하여 평형 유사량이 계산된다. 이러한 보정식을 적용시키기 위해서는 유속성분의 공간변화량 및 지형경사의 공간성분이 필요하다. 유한요소법은 연속성 변수를 이산화시켜 근사해를 구하는 수치기법의 일종이기 때문에, 요소망이 불규칙적으로 구성되었을 경우 임의의 절점에서 연속성을 지닌 변수의 공간변화율을 계산하는데 어려움이 있다. 따라서 본 연구에서는 평형 유사량 계산 시에 절점이 아닌 요소 내부에서 평형 유사량을 계산하는, 하상토 보존방정식의 새로운 유한요소 알고리즘을 개발하고, 새로운 알고리즘을 적용시킨 수치모형의 검증을 행하였다. 경계조건 알고리즘의 검증으로 위해서 Soni 등 (1980)이 행한 상류 유입 유사량에 따른 하상변동을 수치 모의하고 실험치와 비교하였으며, Sutmuller와 Glerum (1980)이 수행한 만곡수로에서의 하상변동을 모의하고 실험과 비교하였다. 새로운 알고리즘을 적용시킨 하상토 보존방정식의 유한요소 수치모형의 결과는 매우 안정적이며, 실험과 매우 유사한 결과를 얻을 수 있었다. 본 수치모델은 현재 균일한 입자의 하상토만을 고려하므로, 입자분급이나 하상 장갑화 현상 등은 무시한다.

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A 9-node Degenerated Shell Element for Inelastic Analysis of Reinforced Concrete Structures (철근 콘크리트 구조물의 비탄성 해석을 위한 9절점 퇴화 쉘 요소)

  • 이상진;서정문
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.4
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    • pp.481-494
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    • 2001
  • An enhanced degenerated shell finite element (FE), which has been developed for inelastic analysis of reinforced concrete structures is described in this paper. Generally, Reissner-Mindlin (RM) assumptions are adopted to develop the degenerated shell FE so that transverse shear deformation effects is considered. However, it is found that there are serious defects such as locking phenomena in RM degenerated shell FE since the stiffness matrix has been overestimated in some situations. As remedies of locking phenomena, reduced integration, incompatible mode and assumed strain method have been used. Especially, the assumed strain method has been successfully used in many FEs. But contrarily, there is a few investigation on the performance of the assumed strains in the inelastic analysis of concrete structures. Therefore, shell formulation is provided in this paper with emphasis on the terms related to the stiffness matrix based on assumed strain method and microscopic concrete material model. Finally, the performance of the present shell element is tested and demonstrated with several numerical examples. From the numerical tests, the present result shows a good agreement with experimental data or other numerical results.

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Adaptive Finite Element Mesh Construction for Optimal Design of Spot Welding (점용접부 최적설계를 위한 적응적 유한요소망의 구성)

  • Park, Jang-Won;Chae, Su-Won;Lee, Tae-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1763-1770
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    • 2000
  • A finite element interface system for the design of optimal spot welding locations has been developed. In order to find out the optimal locations of spot welding points, iterative finite element an alyses are necessary, and thus automatic generation of finite element model for the structures with spot welded pointsis required. In this interface system, quadrilateral shell elements are automatically generated for finite element analysis of spot welded structured, which employs a domain decomposition methodand adaptive mesh(h-method).

Octree-Based Adaptive Tetrahedral Meshing (옥트리 기반의 적응적 사면체 요소망구성)

  • Kim, Chul-Won;Park, Suk-Hoon;Choi, Min-Gyu
    • Journal of the Korea Computer Graphics Society
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    • v.17 no.2
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    • pp.45-53
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    • 2011
  • This paper proposes a volume meshing method that fills the inside of an object with tetrahedra, of which dihedral angles are good. The suggested method is fast, stable and easy to implement It can also utilize an octree structure to space-efficiently fill an object with graded tetrahedra by reducing the total number of tetrahedra. To obtain a high-quality mesh with good dihedral angles, we restrict the octree such that any pair of neighboring cells only differs by one level. To efficiently construct a restricted-octree and generate a volume mesh from the octree, we utilize a signed distance field of an object on its bounded workspace. The suggested method can be employed in FEM-based simulation of large elasto-plastic deformation and tetrahedral-mesh-based simulation of fluid flow.

Ultimate Behavior of Reinforced Concrete Hyperbolic Cooling Tower (R/C 쌍곡 냉각탑의 극한 거동)

  • Min, Chang Shik;Kim, Saeng Bin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4
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    • pp.59-70
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    • 1992
  • Inelastic nonlinear behavior of a hyperbolic cooling tower under wind loading is studied using a finite element program developed on a Cray Y-MP. Convergence studies for the elastic and inelastic analyses are performed using three mesh models. It is shown that the mesh convergence plays an important role in accurately predicting the inelastic behavior of a cooling tower. Even though the cooling tower resists the applied forces through membrane stresses, it is found that the bending stresses play an important role in the failure and behavior of the cooling tower. The present analysis gives a shape factor of 1.48, which indicates a significant redistribution of meridional stresses. It is further evidenced by the distribution of meridional reinforcement yielding which reaches up to $30^{\circ}$ from the windward meridian. The present practice of using elastic analysis for calculating the design stresses appears to be at least safe and conservative. A more comprehensive study should lead to conclusions that would allow use of a higher-than-one shape factor, thus requiring less meridional reinforcement than the present design method does.

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Development of 2D Finite Element Model for the Analysis of Shallow Water Flow (천수흐름 해석을 위한 2차원 유한요소모형의 개발)

  • Seo, Il Won;Song, Chang Geun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.2B
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    • pp.199-209
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    • 2010
  • A finite element model for analyzing surface water flow was developed. Shallow water equation was discretized and solved by Galerkin and Newton-Raphson method. Triangular or rectangular elements can be mixed together to construct meshes. The algebraic equation was solved by frontal method which is very efficient in finite element problem. The developed model was applied to rectangular meandering channel with two bends and transverse velocities and water depth distributions were examined. High velocity was located near the inner bank at the apexes of the bends and velocity distribution was symmetrical about the centerline at the midsection of two bend and super elevation also occurred. Simulation results showed very good agreement with measured data. Another numerical simulation was carried out in mild, steep, adverse and abrupt bottom change slope and channels with weir. 12 water surface profiles of gradually varied flow were correct in terms of hydraulic interpretation.

Riverbank Infiltration Modeling using FEMWATER Model (FEMWATER 모델을 이용한 제방침투 수치모델링)

  • Lee, Jinyong;Kim, Ji Hyun;Lee, Nam-Joo;Yu, Kwonkyu
    • Proceedings of the Korea Contents Association Conference
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    • 2012.05a
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    • pp.429-430
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    • 2012
  • 3차원 유한요소 지하수 모형인 FEMWATER를 이용하여 실험실내에 축조된 모형 제방의 정상상태 침투흐름을 분석하였다. 수치 모형의 비교와 검증을 위해 실험실내에 모형 제방을 축조하였다. 홍수위 증가에 따른 비정상 상태의 침투수위 변화를 모의하였으며, 제외지 수위는 0.15 m, 0.20 m, 0.25 m, 0.30 m의 4가지 수심(각각 Case1~4) 조건으로 하였다. FEMWATER 모형의 매개변수는 투수계수, 수리전도도가 있으며, 각 매개변수에 대한 민감도 분석을 수행하였다. 수치모델링은 수리모형실험과 실험조건을 동일하게 하였으며, 수리모형실험에서 사용한 제방재료의 투수계수를 사용하였으며 제방의 투수계수는 1.35 m/day이다. 수치모형에 사용한 3차원 ?자의 층별 최대 높이는 0.05 m로 제한하였으며 3차원 유한요소망은 삼각형 요소를 사용하였다. 수치해석 결과는 수리모형실험 결과와 비교적 같은 양상을 보였으며, 침윤선의 상태를 확인할 수 있었다.

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