• Title/Summary/Keyword: Boundary element Method

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A Boundary Curve Extraction Method using Triangular Elements of a Lightweight Model (경량 모델의 삼각 요소망으로부터 경계 곡선 추출 방법)

  • Kwon, Ki-Youn
    • Korean Journal of Computational Design and Engineering
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    • v.22 no.1
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    • pp.28-36
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    • 2017
  • Sharing of CAD data plays a key role in the PLM and a lightweight model is widely used for visualizing and sharing a large data. The lightweight model is mainly composed of triangular elements to minimize file size. There is no problem at all to visually confirm the shape based on these triangular elements but there is a limit to numerically calculate the exact position on the curve or surface. In this paper, a boundary curve generation method using triangular elements is proposed to increase the utilization of lightweight models. After matching connectivity of triangular elements, boundary element edges are extracted. Boundary curves are generated by connecting of these boundary element edges. This proposed method has been tested on several models to demonstrate the feasibility.

EFFECT OF THE BOUNDARY CONDITION OF REDISTANCE EQUATION ON THE LEVEL SET SOLUTION OF SLOSHING PROBLEM (Redistance 방정식의 경계조건이 슬로싱 문제의 level set 해석에 미치는 영향)

  • Choi, H.G.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.165-169
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    • 2009
  • The effect of the Dirichlet boundary condition for the redistance equation of level set method on the solutionof sloshing problem is investigated by adopting four Dirichlet boundary conditions. For the solution of the incompressible Navier-Stokes equations, P1P1 four-step fractional finite element method is employed and a least-square finite element method is used for the solutions of the two hyperbolic type equations of level set method; advection and redistance equation. ALE (Arbitrary Lagrangian Eulerian) method is used to deal with a moving computational domain. It has been shown that the free surface motion in a sloshing tank is strongly dependent on the type of the Dirichlet boundary condition and the results of broken dam and sloshing problems using various Dirichlet boundary conditions are discussed and compared with the existing experimental results.

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Acoustic Characteristics Analysis of Cylindrical Array for the Directional and Omni-directional mode Using the Boundary Element Method (경계요소법을 이용한 원통형 배열센서의 지향성/무지향성 모드에 대한 음향특성해석)

  • Lee, Jung-Min;Seo, Hee-Seon;Cho, Yo-Han;Baek, Kwang-Ryul
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.9
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    • pp.922-927
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    • 2009
  • The transducers used in active sonar on surface ships are packed in a specific geometry in the array drum in order to meet the requirements such as the source level, directional beam pattern, etc. This paper describes the acoustic characteristics of the cylindrical array which is based on a 64 vertical staves arrangement, each stave composed 5 independent transducers. Firstly, the single transducer on the rigid baffle in the water is analyzed with the Finite Element Method. From the result of the FE analysis nodal velocities on the radiation surface is calculated and used with the boundary conditions of the transducers mounted on the array drum. Then the acoustic pressure is calculated in the field points using the Boundary Element Method and the other acoustic informations, the source level, beam pattern, near field and far-field distance, were acquired.

SONAR transducer analysis using a coupled FE-BE method (결합형 유한요소-경계요소 기법을 사용한 쏘나 트랜스듀서의 분석)

  • 장순석
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1750-1753
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    • 1997
  • This paper describes how the directivity pattern of the back-scattered sound pressure is distributed when a plane acoustic wave is incident on a righid spherical shell underwater. A coupled Finite Element-Boundary Element mehtod is developed as numerical technique. The result of the coupled FE-BE method is agreed with theoretical solution for algorithmic confirmation.

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Analysis of Waveguide Junction in H-Plane Using Finite Element-Boundary Element Method (혼합 유한요소법을 사용한 H-평면의 도파관 접합 해석)

  • 정진교;천창열;정현교;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.4
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    • pp.666-672
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    • 1994
  • An H-Plane waveguide component with arbitrary shape is analyzed using finite element method(FEM) Cooperated with boundary element method(BEM). For the application of BEM in the waveguide structure, a ray representation of the waveguide Green's function is used. This technique is applied to the analysis of the waveguide inductive junction. The results are compared with the results of the mode matching technique. The comparison shows good agreement.

Wave Force Analysis of the Three Vertical Cylinders in Water Waves

  • Kim, Nam-Hyeong;Cao, Tan Ngoc Than
    • Journal of Navigation and Port Research
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    • v.32 no.7
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    • pp.543-552
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    • 2008
  • The diffraction of waves by three bottom fixed vertical circular cylinders is investigated by using the boundary element method. This method has been successfully applied to the isolated vertical circular cylinder and now is used to study the interaction between waves and multiple vertical cylinders. In this paper, a numerical analysis by the boundary element method is developed by the linear potential theory. The numerical analysis by the boundary element method is based on Green's second theorem and introduced to an integral equation for the fluid velocity potential around the vertical circular cylinders. To verify this method, the results obtained in present study are compared with the results computed by the multiple scattering method. The results of the comparisons show strong agreement. Also in this paper, several numerical examples are given to illustrate the effects of various parameters on the wave exciting force such are the separation distance, the wave number and the incident wave angle. This numerical computation method might be used broadly for the design of various offshore structures to be constructed in the future.

A coupled finite element/meshfreemoving boundary method for self-piercing riveting simulation

  • Cai, Wayne;Wang, Hui-Ping;Wu, C.T.
    • Interaction and multiscale mechanics
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    • v.6 no.2
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    • pp.257-270
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    • 2013
  • The use of lightweight materials has been steadily increasing in the automotive industry, and presents new challenges to material joining. Among many joining processes, self-piercing riveting (SPR) is particularly promising for joining lightweight materials (such as aluminum alloys) and dissimilar materials (such as steel to Al, and metal to polymer). However, to establish a process window for optimal joint performance, it often requires a long trial-and-error testing of the SPR process. This is because current state of the art in numerical analysis still cannot effectively resolve the problems of severe material distortion and separation in the SPR simulation. This paper presents a coupled meshfree/finite element with a moving boundary algorithm to overcome these numerical difficulties. The simulation results are compared with physical measurements to demonstrate the effectiveness of the present method.

A Study on the Boundary Element Method for Numerical Analysis of Nonlinear Free Surface Waves(I) (비선형 자유표면파의 수치해석을 위한 경계요소법에 대한 연구 (I))

  • Sung, Hong G.;Hong, Sa Y.;Choi, Hang S.
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.4
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    • pp.53-60
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    • 1997
  • Nonlinear free surface flow phenomena have teen studied by several kinds of numerical methods, of which boundary element method has been known as most promising one. There, however, remain many difficulties to be solved in the numerical procedures by boundary element analysis. In this paper, an efficient calculation of elemental integrals and iterative solution algorithm for the resulting system of equations were thoroughly investigated in order to enhance the procedure of the boundary element analysis. Advantages of the herein developed boundary element analysis code are demonstrated in terms of accuracy and convergence for typical boundary-value problems with free surface.

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Rotation-Free Plate Element Based on the Natural Element Method (자연요소법에 기초한 회전자유도가 없는 평판요소)

  • Cho, Jin-Rae;Choi, Joo-Hyoung;Lee, Hong-Woo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.513-518
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    • 2007
  • A polygon-wise constant curvature natural element approximation is presented in this paper for the numerical implementation of the abstract Kirchhoff plate model. The strict continuity requirement in the displacement field is relaxed by converting the area integral of the curvatures into the boundary integral along the Voronoi boundary. Curvatures and bending moments are assumed to be constant within each Voronoi polygon, and the Voronoi-polygon-wise constant curvatures are derived in a selective manner for the sake of the imposition of essential boundary conditions. The numerical results illustrating the proposed method are also given.

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Analysis of Arbitrary Three Dimensional Cracks in the Finite Body Using the Symmetric Galerkin Boundary Element Method (대칭 Galerkin 경계요소법을 이용한 유한체 내에 존재하는 임의의 삼차원 균열의 해석)

  • Park, Jai-Hak;Kim, Tae-Soon
    • Journal of the Korean Society of Safety
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    • v.19 no.1
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    • pp.38-43
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    • 2004
  • Many analysis methods, including finite element method, have been suggested and used for assessing the integrity of cracked structures. In the paper, in order to analyze arbitrary three dimensional cracks, the finite element alternating method is extended. The crack is modeled by the symmetric Galerkin boundary element method as a distribution of displacement discontinuities, which is formulated as singularity-reduced integral equations. And the finite element method is used to calculate the stress values for the uncracked body only. Applied the proposed method to several example problems for planner cracks in finite bodies, the accuracy and efficiency of the method were demonstrated.