• 제목/요약/키워드: triangular planar element

검색결과 8건 처리시간 0.024초

Co-rotational 이론 기반 비선형 삼각평면 유한요소의 개발 (Development of Nonlinear Triangular Planar Element Based on Co-rotational Framework)

  • 조해성;신상준
    • 한국전산구조공학회논문집
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    • 제28권5호
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    • pp.485-490
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    • 2015
  • 구조의 기하학적 비선형해석을 위해 대표적으로 Total Lagrangian, Updated Lagrangian 정식화 기법이 있다. 이러한 고전적인 정식화 과정은 요소의 변형률을 가정하는 방법에 따라 그리고 요소의 절점 수에 따라 추가의 수학적 정식화 과정이 요구된다. 하지만 비교적 최근에 정립된 Co-roational(CR) 이론은 기 존재하는 보, 판, 쉘 요소에 독립적으로 요소 절점자유도에 따라 일정하게 적용하여 대변위, 작은 변형률을 갖는 구조의 기하비선형 해석을 가능케 한다. 본 논문에서는 회전자유도를 갖는 삼각평면요소에 대한 CR 기법을 정식화하였고 동적해석으로 확장하여 이를 상용프로그램과 검증하였다. 해석에 사용한 삼각평면요소는 OPtimal Triangular(OPT) 평면요소이다.

Fuzzy analysis for stability of steel frame with fixity factor modeled as triangular fuzzy number

  • Tran, Thanh Viet;Vu, Quoc Anh;Le, Xuan Huynh
    • Advances in Computational Design
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    • 제2권1호
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    • pp.29-42
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    • 2017
  • This study presents algorithms for determining the fuzzy critical loads of planar steel frame structures with fixity factors of beam - column and column - base connections are modeled as triangular fuzzy numbers. The finite element method with linear elastic semi-rigid connection and Response Surface Method (RSM) in mathematical statistic are applied for problems with symmetric triangular fuzzy numbers. The ${\alpha}$ - level optimization using the Differential Evolution (DE) involving integrated finite element modeling is proposed to apply for problems with any triangular fuzzy numbers. The advantage of the proposed methodologies is demonstrated through some example problems relating to for the twenty - story, four - bay planar steel frames.

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

  • 정현석;김용환
    • 대한기계학회논문집A
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    • 제20권2호
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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.

평면이방성 박판성형공정의 3차원 유한요소해석 (3-D FEM Analysis of Forming Processes of Planar Anisotropic Sheet Metal)

  • 이승열;금영탁;박진무
    • 대한기계학회논문집
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    • 제18권8호
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    • pp.2113-2122
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    • 1994
  • The 3-D FEM analysis for simulating the stamping operation of planar anisotropic sheet metals with arbitrarily-shaped tools is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-normal, which compatibly describes arbitrary tool surfaces and FEM meshes without depending on the explicit spatial derivatives of tool surfaces. The consistent full set of governing relations, comprising equilibrium equation and mesh-normal geometric constraints, is appropriately linearized. The linear triangular elements are used for depicting the formed sheet, based on membrane approximation. Barlat's non-quadratic anisotropic yield criterion(strain-rate potential) is employed, whose in-plane anisotropic properties are taken into account with anisotropic coefficients and non-quadratic function parameter. The planar anisotropic finite element formulation is tested with the numerical simulations of the stamping of an automotive hood inner panel and the drawing of a hemispherical punch. The in-plane anisotropic effects on the formability of both mild steel and aluminum alloy sheet metals are examined.

Temperature change around a LNG storage predicted by a three-dimensional indirect BEM with a hybrid integration scheme

  • Shi, Jingyu;Shen, Baotang
    • Geosystem Engineering
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    • 제21권6호
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    • pp.309-317
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    • 2018
  • We employ a three-dimensional indirect boundary element method (BEM) to simulate temperature change around an underground liquefied natural gas storage cavern. The indirect BEM (IBEM) uses fictitious heat source strength on boundary elements as basic variables which are solved from equations of boundary conditions and then used to compute the temperature change at other points in the considered problem domain. The IBEM requires evaluation of singular integration for temperature change due to heat conduction from a constant heat source on a planar (triangular) region. The singularity can be eliminated by a semi-analytical integration scheme. However, it is found that the semi-analytical integration scheme yields sharp temperature gradient for points close to vertices of triangle. This affects the accuracy of heat flux, if they are evaluated by finite difference method at these points. This difficulty can be overcome by a combination of using a direct numerical integration for these points and the semi-analytical scheme for other points distance away from the vertices. The IBEM and the hybrid integration scheme have been verified with an analytic solution and then used to the application of the underground storage.

Advanced Design Environmental With Adaptive And Knowledge-Based Finite Elements

  • Haghighi, Kamyar;Jang, Eun
    • 한국농업기계학회:학술대회논문집
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    • 한국농업기계학회 1993년도 Proceedings of International Conference for Agricultural Machinery and Process Engineering
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    • pp.1222-1229
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    • 1993
  • An advanced design environment , which is based on adaptive and knowledge -based finite elements (INTELMESH), has been developed. Unlike other approaches, INTEMMESH incorporates the information about the object geometry as well as the boundary and loading conditions to generate an ${\alpha}$-priori finite element mesh which is more refined around the critical regions of the problem domain. INTEMMESH is designed for planar domains and axisymmetric 3-D structures of elasticity and heat transfer subjected to mechanical and thermal loading . It intelligently identifies the critical regions/points in the problem domain and utilize the new concepts of substructuring and wave propagation to choose the proper mesh size for them. INTEMMESH generates well-shaped triangular elements by applying trangulartion and Laplacian smoothing procedures. The adaptive analysis involves the intial finite elements analyze and an efficient ${\alpha}$-posteriori error analysis involves the initial finite element anal sis and an efficient ${\alpha}$-posteriori error analysis and estimation . Once a problem is defined , the system automatically builds a finite element model and analyzes the problem though automatic iterative process until the error reaches a desired level. It has been shown that the proposed approach which initiates the process with an ${\alpha}$-priori, and near optimum mesh of the object , converges to the desired accuracy in less time and at less cost. Such an advanced design/analysis environment will provide the capability for rapid product development and reducing the design cycle time and cost.

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임의 형태의 삼차원 균열 모델링 및 해석 (Modeling and Analysis of Arbitrarily Shaped Three-Dimensional Cracks)

  • 박재학
    • 대한기계학회논문집A
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    • 제35권9호
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    • pp.1091-1097
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    • 2011
  • SGBEM-FEM 교호법은 유한 물체 내에 존재하는 삼차원 균열을 해석하는 유용한 방법으로 알려져 있다. 이 방법으로 일반적인 평면 혹은 비평면 삼차원 균열에 대한 정확한 응력강도계수를 구할 수 있다. 기존의 방법에서는 균열을 모델화 하는데 8 절점 사각형 경계요소를 사용한다. 그러나 임의 형상의 균열의 경우는 3 절점 삼각형 요소를 사용하여 균열을 모델화 하는 것이 더 편리하다. 따라서 본 논문에서는 3 절점 삼각형 요소와 7 절점 사각형 요소를 사용하여 전진 프런트 법으로 균열을 모델링 하였다. 사용된 균열 모델의 정확성을 검토하기 위하여 몇 가지 형상의 균열에 대하여 응력강도계수를 구하여 기존의 해와 비교하였다.

전자전용 광대역 평면형 능동위상배열 안테나 시스템 개발 (Development of Wide-Band Planar Active Array Antenna System for Electronic Warfare)

  • 김재덕;조상왕;최삼열;김두환;박희준;김동희;이왕용;김인선;이창훈
    • 한국전자파학회논문지
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    • 제30권6호
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    • pp.467-478
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    • 2019
  • 본 논문에서는 전자전용 재밍 송신기에 사용하기 위해서 개발된 광대역 평면형 능동위상배열 안테나 시스템의 설계 및 제작 그리고 측정 결과를 소개한다. 설계된 시스템은 $45^{\circ}$ slant 광대역 복사소자를 $8{\times}8$ 삼각 배열 구조로 배치하고, 광대역 GaN 반도체 고출력 증폭기와 GaAs 다기능집적회로(MFC)를 적용한 64개의 송신 채널을 구성하여 개발하였다. GaAs다기능집적회로는 광대역에서 빔 편이 현상을 피하기 위한 실시간 지연소자, 디지털 감쇠기 그리고 GaAs 구동증폭기를 포함하고 있어서 송신 빔 조향을 할 수 있으며, 시스템의 전자적 빔 조향 범위는 방위각/고각 방향으로 각각 ${\pm}45^{\circ}/{\pm}25^{\circ}$ 범위에서 가능하다. 개발된 시스템의 송신 빔 패턴 성능을 확인하기 위해 근접 전계 시험 시설을 이용하였다. 전자전용 송신 시스템 빔 패턴 측정 결과, 시스템의 유효방사출력은 목표성능(P) 대비 최대 9.8 dB 이상을 만족하였고, 방위각/고각 방향으로 각각 ${\pm}45^{\circ}/{\pm}25^{\circ}$ 빔 조향 결과 요구성능에 만족함을 확인하였다.