• Title/Summary/Keyword: triangular element

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Initial Shape Finding and Stress-Deformation Analysis of Pretensioned Membrane Structures with Triangular Constants Strain Element (TCS요소론 이용한 인장 막구조물의 초기명상해석 및 응력변형해석)

  • Ko, Hyuk-Jun;Song, Pyung-Hun;Song, Ho-San
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.230-237
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    • 2004
  • In this study, equation of finite element is formulated to analyze relations of large deformation-small deformation considering geometrical nonlinear for membrane structure. Total Lagrangian Formulation(TLF) is introduced to formulate theory and equation of motion considering Triangular Constant Strain(TCS) element in finite, element analysis is formulated. Finite element program is made by equation of motion considering TLF. This study analyzed a variety of examples, so compared with the past results.

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Level set method for the simulation of rising bubble based on triangular and Quadrilateral elements (삼각형 요소와 사각형 요소에 기초한 상승기포의 모사를 위한 Level set 방법)

  • Cho, M.H.;Choi, H.G.;Jeon, B.J.;Yoo, J.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.10-13
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    • 2011
  • A level set method is proposed to simulate the incompressible two-phase flow considering the effect of surface tension. For reinitialization of level set junction, a direct approach method is employed, instead of solving hyperbolic type equation. A mixed element is adopted, so that the continuity mid Navier-Stokes equations are solved by using the quadratic elements (six-node triangular element mid nine-node quadrilateral element), mid the level set function is solved by using the linear elements (three-node triangular element mid four-node quadrilateral element). In order to verify the accuracy mid robustness of the codes, the present methods are applied to a few benchmark problems. It is confirmed that the present results are in good qualitative mid quantitative agreements with the existing studies.

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CPW-fed to CPS Dipole Antenna of Microstrip Tapered Balun with Triangular Loop Director

  • Lee, Hyeonjin
    • Journal of Electrical Engineering and Technology
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    • v.9 no.4
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    • pp.1365-1368
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    • 2014
  • A CPW-fed to CPS dipole antenna of triangular loop director by microstrip tapered balun is proposed for dual and wide band operations, in this paper. The proposed antenna is consisted of a CPW-fed to CPS transform, microstrip tapered balun element, CPS dipole driver and triangular loop director. A dual and wide bandwidth of the proposed dipole antenna is realized by introducing the triangular loop director and taper matching element. The operated frequency bandwidth is 1GHz (2.14~3.14 GHz) and 1.9 GHz (4.6~6.5 GHz) to return loss criterion of less than 10 dB. The measured return loss of the proposed antenna showed good results of the dual and wide band operating frequency and the radiation pattern. The proposed antenna is able to support WLAN wireless communications applications.

ASYMPTOTIC EXACTNESS OF SOME BANK-WEISER ERROR ESTIMATOR FOR QUADRATIC TRIANGULAR FINITE ELEMENT

  • Kim, Kwang-Yeon;Park, Ju-Seong
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.393-406
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    • 2020
  • We analyze a posteriori error estimator for the conforming P2 finite element on triangular meshes which is based on the solution of local Neumann problems. This error estimator extends the one for the conforming P1 finite element proposed in [4]. We prove that it is asymptotically exact for the Poisson equation when the underlying triangulations are mildly structured and the solution is smooth enough.

Mesh Simplification and Adaptive LOD for Finite Element Mesh Generation

  • Date, Hiroaki;Kanai, Satoshi;Kishinami, Takeshi;Nishigaki, Ichiro
    • International Journal of CAD/CAM
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    • v.6 no.1
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    • pp.73-79
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    • 2006
  • In this paper, we propose a new triangular finite element mesh generation method based on simplification of high-density mesh and adaptive Level-of-Detail (LOD) methods for efficient CAE. In our method, mesh simplification is used to control the mesh properties required for FE mesh, such as the number of triangular elements, element shape quality and size while keeping the specified approximation tolerance. Adaptive LOD methods based on vertex hierarchy according to curvature and region of interest, and global LOD method preserving density distributions are also proposed in order to construct a mesh more appropriate for CAE purpose. These methods enable efficient generation of FE meshes with properties appropriate for analysis purpose from a high-density mesh. Finally, the effectiveness of our approach is shown through evaluations of the FE meshes for practical use.

Vibration Analysis of Pretwisted Composite Plates with Embedded Viscoelastic Core using Zig-Zag Triangular Finite Element (지그재그 삼각형 유한요소를 이용한 점탄성물질이 심어진 비틀린 복합재료판의 진동해석)

  • Lee,Deok-Gyu;Jo,Maeng-Hyo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.1
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    • pp.18-24
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    • 2003
  • A three node triangular element with drilling rotations incorporating improved higher-order zig-zag theory(HZZT) is developed to analyze the vibration of pretwisted composite plates with embedded damping layer. Shear force matching conditions are enforced along the interfaces between the embedded damping patch and the border patch by matching the shear forces of the embedded damping patch to the shear forces of the adjacent border patch. The natural frequencies and modal loss factors are calculated for cantilevered pretwisted composite blade with damping core with the present triangular element, and compared to experiments and MSC/NASTRAN using a layered combination of plate and solid elements.

Construction of a macro plane stress triangle element with drilling d.o.f.'s (드릴링 자유도를 가진 매크로 삼각형 요소를 이용한 평면 응력 해석)

  • 엄재성;김영태;이병채
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.886-889
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    • 2004
  • A simple macro triangle with drilling d.o.f.'s is proposed for plane stress problems based on IET(Individual element test) and finite element template. Three-node triangular element has geometrical advantages in preprocessing but suffers from bad performance comparing to other shapes of elements -especially quadrilateral. Main purpose of this study is to construct a high-performance linear triangular element with limited supplementary d.o.f.'s. A triangle is divided by three sub-triangles with drilling d.o.f.'s. The sub-triangle stiffness come from IET passing force-lumping matrix, so this assures the consistency of the element. The macro element strategy takes care of the element‘s stability and accuracy like higher-order stiffness in the F.E. template. The resulting element fits on the uses of conventional three-node. Benchmark examples show proposed element in closed form stiffness from CAS (Computer algebra system) gives the improved results without more computational efforts than others.

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Temperature distribution & heat transfer of rectangular cross section by the higher-order triangular finite element method (고차 삼각형 유한요소에 의한 구형단면의 온도분포와 열전달)

  • 용호택;서정일;조진호
    • Journal of the korean Society of Automotive Engineers
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    • v.3 no.3
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    • pp.24-29
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    • 1981
  • This paper is studied an efficient temperature distribution and heat transfer of two-dimensional rectangular cross-section by the higher-order triangular finite dynamic element and finite difference. This is achieved by employing a discretization technique based on a recently developed concept of finite dynamic elements, involving higher order dynamic correction terms in the associated stiffness and convection matrices. Numerical solution results of temperature distribution presented herein clearly optimum element and show that FEM10 is the most accurate temperature distribution, but heat transfer and computational effort is the most acquired.

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An Efficient Triangulation Algorithm for Trimmed NURBS Surfaces (트림된 NURBS 곡면의 효율적인 삼각화 알고리즘)

  • 정재호;박준영
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.2
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    • pp.144-154
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    • 2000
  • We propose an algorithm for obtaining a triangular approximation of a trimmed NLRBS surface. Triangular approximation is used in the pre-processing step of many applications such as RP(Rapid Prototyping), NC(Numerical Control) and FEA(Finite Element Analysis), etc. The algorithm minimizes the number of triangular elements within tolerance and generates a valid triangular mesh for STL file and NC tool path generation. In the algorithm, a subdivision method is used. Since a patch is a basic element of triangular mesh creation, boundary curves of a patch are divided into line segments and the division of curves is applied for the interior of the surface. That is, boundary curves are subdivided into line segments and two end points of each line segment are propagated to the interior of the surface. For the case of a trimmed surface, triangulation is carried out using a model space information. The algorithm is superior because the number of elements can be controlled as the curvature of the surface varies and it generates the triangular mesh in a trimmed region efficiently. To verify the efficiency, the algorithm was implemented and tested for several 3D objects bounded by NURBS surfaces.

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

  • Kim, Chang-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.2
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    • pp.46-53
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    • 2005
  • Compare to the large number of curved quadrilateral degenerated-shell elements, there are only a very few curved triangular degenerated-shell elements. Based on the assumed natural strain sampling scheme previously developed for a quadratic degenerated-shell element for linear analysis, this paper devises geometric non-linear six-node degenerated-shell element. The element can be curved and is only equipped with the standard nodal d.o.f.'s. Careful consideration has been exercised to circumvent various locking phenomena that plague degenerated-shell element. Numerical examples are presented to illustrate efficiency.