• Title/Summary/Keyword: triangular elements

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유한요소법에 의한 전기기계의 자속분포해석을 위한 MACRO 공선요소 적용에 관한 연구 (A Study on the Application of Macro Air-gap Element for Magnetic Flux Distribution Analysis of Electric Machinery by F.E.M.)

  • Dal-Ho Im
    • 대한전기학회논문지
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    • 제35권11호
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    • pp.479-486
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    • 1986
  • It is necessary to consider a rotor movement in dynamic analysis on the flux distribution of electric machinery by FEM. Therefore, if air-gap domain was subdivided into triangular elements, computation results contain errors due to variation of element shape in air-gap because the nodal points corresponding to the rotor are displaced in analyzing domain for the time difference. In order to reduce this errors, the paper presents a application of a Macro Air-gap Element that interpolation function is obtained analytically and a means to join it with linear triangular elements in the rotating machine or in the linear machine. At the end of paper, setting up analytic domain model, it compares analytic solution with the computation results of Macro Air-gap Element appliction and that of linear triangular element subdivision only to each cases of nodal displacement. And it carries out that errors due to variation of element shape are reduced effectively by application of a Macro air-gap element.

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삼각격자에 대한 위상학적 개선과정의 확장 (Extension of Topological Improvement Procedures for Triangular Meshes)

  • 맹주성;한석영;최형일
    • 대한기계학회논문집B
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    • 제25권6호
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    • pp.853-859
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    • 2001
  • This paper describes the extended topological clean up procedures to improve the quality of unstructured triangular meshes. As a postprocessing step, topological improvement procedures are applied both for elements that are interior to the mesh and for elements connected to the boundary and then Laplacian-like smoothing is used by default. Previous clean up algorithms are limited to eliminate the nodes of degree 3,4,8,9,10 and pairs of nodes of degree 5. In this study, new clean up algorithms which minimize the triple connection structures combined with degree 5 and 7 (ie ; 5-7-5, 7-7-5, 7-5-7 etc) are added. The suggested algorithms are applied to two example meshes to demonstrate the effectiveness of the approach in improving element quality in a finite element mesh.

셸 구조물의 중간면에 대한 삼각형 셸 요소망의 자동생성 (Automatic Generation of Triangular Shell Element Meshes on Mid-Surface in Shell Structure)

  • 문연철;양현익
    • 대한기계학회논문집A
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    • 제31권4호
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    • pp.451-460
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    • 2007
  • The surface of 3D shell structure is created by using NURBS and nodes for generating finite element mesh on the surface are created by using external node offset method. In so doing the shortest distance between nodes on the top and bottom surface is searched and then the coordinates of nodes are determined by calculating the mid point of them in the middle of top and bottom surface. Triangular elements are formed on mid surface, and the average aspect ratio of the generated triangular elements are over 0.9.

절점과 요소의 동시 생성을 위한 삼각 요소 알고리즘 (Triangular Mesh Generation Algorithm for Generating Nodes and Triangular Elements Concurrently)

  • 천재홍;양현익
    • 한국CDE학회논문집
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    • 제5권3호
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    • pp.207-214
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    • 2000
  • For last 20 years, a number of researches and developments on finite element mesh generation has been carried out and most of them are comported of node generation part and node generation part. However these algorithms are inefficient in mesh veneration process and difficult to control the shape of elements when comparing with the generation of nodes and elements concurrently. In this study, therefore, an algorithm it proposed to generate nodes and elements concurrently for various two-dimensional objects having multiple holes. Inner node generation is performed by choosing three consecutive boundary nodes and comparing them with other close boundary nodes. As soon as inner nodes are determined, element generation is conducted based on the comparison of the distances among the generated inner nodes, three consecutive boundary nodes and other close boundary nodes. the generated element nodes become new boundary nodes for further repeated process. The processes are repeated through out each region until three consecutive boundary nodes finally form a tirangular element.

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Sensitivity Analysis of the Galerkin Finite Element Method Neutron Diffusion Solver to the Shape of the Elements

  • Hosseini, Seyed Abolfazl
    • Nuclear Engineering and Technology
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    • 제49권1호
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    • pp.29-42
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    • 2017
  • The purpose of the present study is the presentation of the appropriate element and shape function in the solution of the neutron diffusion equation in two-dimensional (2D) geometries. To this end, the multigroup neutron diffusion equation is solved using the Galerkin finite element method in both rectangular and hexagonal reactor cores. The spatial discretization of the equation is performed using unstructured triangular and quadrilateral finite elements. Calculations are performed using both linear and quadratic approximations of shape function in the Galerkin finite element method, based on which results are compared. Using the power iteration method, the neutron flux distributions with the corresponding eigenvalue are obtained. The results are then validated against the valid results for IAEA-2D and BIBLIS-2D benchmark problems. To investigate the dependency of the results to the type and number of the elements, and shape function order, a sensitivity analysis of the calculations to the mentioned parameters is performed. It is shown that the triangular elements and second order of the shape function in each element give the best results in comparison to the other states.

선형 OTA를 이용한 삼각파/구형파 발생기 (A Triangular/Square Waveforms Generator Using Linear OTA's)

  • 박상렬;박지만정원섭
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 추계종합학술대회 논문집
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    • pp.663-666
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    • 1998
  • A triangular/square waveforms generator with current controllable frequency is described. The genertor utilizes operational transconductance amplifiers as switching elements. The circuit built with commercially available components exhibits good linearity of current to frequency and relatively low temperature sensitivity.

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공간체감된 구형 위상어레이의 성능에 미치는 상호결합의 영향 (MUTUAL COUPLING EFFECTS ON THE PERFORMANCE OF A SPACE-TAPERED RECTANGULAR PHASED ARRAY)

  • 장병건
    • 한국정보통신학회논문지
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    • 제9권2호
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    • pp.415-421
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    • 2005
  • 어레이 소자의 방사 또는 수신 특성은 소자 상호결합 효과 때문에 고립된 소자의 특성과 달라지게 되며, 따라서 어레이 성능은 고립된 소자를 가정하여 설계할 경우의 성능과 다르게 된다. 접지판 위에 위치한 삼각형 격자 구조를 가진 직사각형 다이폴 어레이에 미치는 상호 결합의 영향을 소자패턴을 고려하여 논의하였다. 소자 이득 함수를 이용하여 소자가 균일하게 분포되거나 소자간격이 체감된 어레이에서 부엽(sidelobe)에 미치는 소자 상호결합 효과의 영향을 점검하였다. 상호결합 효과가 존재할 때, 소자간격이 체감된 어레이에서의 부엽의 성능이 소자간격이 균일하게 분포된 어레이와 비교하여 향상되는 것을 보여주었다. 컴퓨터 시뮬레이션을 제시하였다.

기하학적 비선형 해석을 위한 곡면 2차 삼각형 쉘 요소에 관한 연구 (Curved quadratic triangular degenerated-shell elements for geometric non-linear analysis)

  • 김창호
    • 한국항공우주학회지
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    • 제33권2호
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    • pp.46-53
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    • 2005
  • 곡면 사각형 쉘 요소들이 다수인 것에 비해, 곡면 삼각형 요소들은 아주 소수이다. 이미 발표된, 선형 해석을 위한 6절점 2차 쉘 요소의 가정 자연 변형도 이론에 기초해, 본 연구에서는 6절점 쉘 요소의 기하학적 비선형 해석을 수행하였다. 쉘 요소는 표준 절점 자유도만으로 곡면 모델링이 가능하고, 수치해석 결과가 보여주는 바와 같이 다양한 잠김 현상들을 제거하는데 효율적인 요소임을 확인하였다.

Automatic Conversion of Triangular Meshes Into Quadrilateral Meshes with Directionality

  • Itoh, Takayuki;Shimada, Kenji
    • International Journal of CAD/CAM
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    • 제1권1호
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    • pp.11-21
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    • 2002
  • This paper presents a triangular-to-quadrilateral mesh conversion method that can control the directionality of the output quadrilateral mesh according to a user-specified vector field. Given a triangular mesh and a vector field, the method first scores all possible quadrilaterals that can be formed by pairs of adjacent triangles, according to their shape and directionality. It then converts the pairs into quadrilateral elements in order of the scores to form a quadrilateral mesh. Engineering analyses with finite element methods occasionally require a quadrilateral mesh well aligned along the boundary geometry or the directionality of some physical phenomena, such as in the directions of a streamline, shock boundary, or force propagation vectors. The mesh conversion method can control the mesh directionality according to any desired vector fields, and the method can be used with any existing triangular mesh generators.

컨조인트를 이용한 현미와 흑미를 첨가한 삼각김밥의 선호 분석 (Conjoint Analysis with the Addition of Brown Rice and Black Rice in Triangular Gimbap of the Consumer Preference)

  • 김현아;이경희
    • 동아시아식생활학회지
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    • 제23권5호
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    • pp.662-669
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    • 2013
  • The purpose of this study is to examine consumers increased interest pertaining to the structural elements of the triangular gimbap. Through an investigation of their importance by attribute and the attribute's partial value, the preference of the triangular gimbap was obitained. The survey was conducted with a panel of two hundred and one university students, from January 7, 2013 to January 14, 2013. In order to achieve an optimal production of the triangular gimbap, the survey consists of 8 profiles with an orthogonal design for cross-validity authorization and reliability of the model. The statistical data analyses use SPSS/WIN 20.0 for the conjoint analysis. The results of this study indicate that the triangular gimbap, with 30% brown rice, mixed stuffing, weight of 100 grams, and a price of 800 won was selected. It is an estimation that new customers will be attracted to the triangular gimbap that consists of a variety of rice and stuffing.