• 제목/요약/키워드: Complex Geometry

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The Computation of the Voronoi Diagram of a Circle Set Using the Voronoi Diagram of a Point Set: II. Geometry (점 집합의 보로노이 다이어그램을 이용한 원 집합의 보로노이 다이어그램의 계산: II.기하학적 측면)

  • ;;;Kokichi Sugihara
    • Korean Journal of Computational Design and Engineering
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    • v.6 no.1
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    • pp.31-39
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    • 2001
  • Presented in this paper are algorithms to compute the positions of vertices and equations of edges of the Voronoi diagram of a circle set. The circles are located in a Euclidean plane, the radii of the circles are not necessarily equal and the circles are not necessarily disjoint. The algorithms correctly and efficiently work when the correct topology of the Voronoi diagram was given. Given three circle generators, the position of the Voronoi vertex is computed by treating the plane as a complex plane, the Z-plane, and transforming it into another complex plane, the W-plane, via the Mobius transformation. Then, the problem is formulated as a simple point location problem in regions defined by two lines and two circles in the W-plane. And the center of the inverse-transformed circle in Z-plane from the line in the W-plane becomes the position of the Voronoi vertex. After the correct topology is constructed with the geometry of the vertices, the equations of edge are computed in a rational quadratic Bezier curve farm.

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Numerical Simulation of the Aluminum Alloys Solidification in Complex Geometries

  • Monteiro Eliseu;Rouboa Abel
    • Journal of Mechanical Science and Technology
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    • v.19 no.9
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    • pp.1773-1780
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    • 2005
  • The process of mould design in the foundry industry has been based on the intuition and experience of foundry engineers and designers. To bring the industry to a more scientific basis the design process should be integrated with scientific analysis such as heat transfer. The production by foundry techniques is influenced by the geometry configuration, which affects the solidification conditions and subsequent cooling. Numerical simulation and/or experiments make possible the selection of adequate materials, reducing cycle times and minimizing production costs. The main propose of this work is to study the heat transfer phenomena in the mould considering the phase change of the cast-part. Due to complex geometry of the mould, a block unstructured grid and a generalized curvilinear formulation engaged with the finite volume method is described and applied. Two types of boundary conditions, diffusive and Newtonian, are used and compared. The developed numerical code is tested in real case and the main results are compared with experimental data. The results showed that the solidification time is about 6 seconds for diffusive boundary conditions and 14.8 seconds for Newtonian boundary conditions. The use of the block unstructured grid in combination with a generalized curvilinear formulation works well with the finite volume method and allows the development of more efficient algorithms with better capacity to describe the part contours through a lesser number of elements.

Earthquake Response Analysis considering Irregular Soil Layers (불규칙한 다층 물성을 가지는 지반의 지진 응답 해석)

  • Park, Jang-Ho;Park, Jae-Gyun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.6 s.46
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    • pp.67-73
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    • 2005
  • Precise analysis of soil-structure interaction requires a proper description of soil profile. However, such approach becomes generally nearly unpractical for soil exhibiting material discontinuity and complex geometry since meshes should match that material discontinuity line. To overcome these difficulties, a different numerical integration method is adopted in this paper, which enables to integrate easily over an element with material discontinuity without regenerating mesh fellowing the discontinuity line. As a result the mesh is highly structured, loading to very regular silliness matrix. The influence of the shape of soil profile on the response is examined and it is seen that the proposed soil-structure analysis method can be easily used on soil-structure interaction problems with complicated soil profile and produce reliable results regardless of material discontinuities.

The Architectural Concepts and Design Properties as a Complex System (복잡계로서의 건축개념과 조형적 특성에 관한 연구(I))

  • 김주미
    • Korean Institute of Interior Design Journal
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    • no.22
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    • pp.123-131
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    • 2000
  • The purpose of this study is to propose a new design concept and properties within new paradigm. Contemporary students of architectural design seem to redefine the mechanic and reductive approach to design method based upon Euclidean geometry. In this study, the organic space-time and holistic view-point that constitutes the background for all this is radically different from the modern design. It consists of three sections as follow: First, it presents a concept of complex system and properties of complexity that we find in new natural science and tries to combine that news geometry with architectural design to provide a methodological basis for morphogenesis and transformation. Second, the complexity in architecture is defined as a fractal shape, folded space, and irreducible organic system that cannot be fully understood by modernist idea of architecture. Third, the complexity in architecture is strategy based on the electronic paradigm that would enable the emergence of creative possibility. The complexity theory offer new insights to explain not only natural laws but also define dynamic architecture. In fine, this study places a great emphasis on the organic world-view to the spatial organization, which I hope will contribute to generating a greater number of creative possibilities for design.

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Three-Dimensional Flow Simulations around a Numerical Model of Wing-In-Ground(WIG) Effect Ship having the complex geometry (복잡한 해면효과익선 계산 모형 주위의 3차원 유동장의 수치계산)

  • PARK Jong-Chun;SHIN Myung-Soo
    • 한국전산유체공학회:학술대회논문집
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    • 1996.05a
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    • pp.85-92
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    • 1996
  • Numerical simulations are made for the three-dimensional flow around a wing in ground effect craft haying the complex geometry. A numerical tool is developed for the primary design of hull and wing shape of practical Wing-In-Ground effect(WIG) stop. The finite-difference method is utilized to descretize the governing equations and pressure field is obtained by using Marker-And-Cell(MAC) method. The air and water flows are simultaneously simulated in the time-marching solution procedure for the Navier-Stokes equation. The porosity technique and the density function are devised for the implementation of the three-dimensional body-boundary and the free-surface conditions, respectively. In this paper, a craft is modeled simply by three blocks containing a wing mounted on a main body horizontally, with the endplate. The numerical calculations of a WIG advancing in a calm water are performed and the WIG-generated wave profiles are also obtained. In the final paper, details of the numerical methods employed for the present study and calculated results are discussed.

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Flow and Thermal Analyses for the Optimal Specification of Flat Tube at Radiator (라디에이터용 납작관의 최적형상 도출을 위한 열.유동해석)

  • Park, Kyoung-Woo;Pak, Hi-Yong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.8
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    • pp.1046-1055
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    • 2000
  • The flow and thermal phenomena in flat tubes of radiator are analyzed numerically. To predict the characteristics of heat transfer and pressure drop, the flow analysis program for three-dimensional complex geometry is developed, which adopted an non-staggered grid system and Cartesian velocities as dependent variables of the momentum equations. Using the developed program, the effect of tube specifications on the heat transfer characteristics is investigated for various flat tubes. From this study, the following results are obtained; (1) For the same hydraulic diameter($D_h{\doteq}5.2$mm), the Nusselt numbers of three basic modeis(D, J, and H-model) are 8.71, 8.92, and 10.58, respectively, and the pressure drops of D-, J-, and H-model are predicted as $-3.08{\times}10^{-2}\;Pa,\;-3.12{\times}10^{-2}\;Pa,\;and\; -3.98{\times}10^{-2}$ Pa, (2) In case of the same flat tube specification, the fins must be brazed at upper tube surface because the heat is more vividly transferred. Therefore, it is found that the H- model is the most effective tube as a heat exchanger and these results are used as a fundamental data for the design of tube.

A basic study on the prediction of local material behavior of composite bone plate for metaphyseal femur fractures (대퇴골 골 간단 부 골절치료용 복합재료 고정판의 국부적 거동 예측을 위한 기초 연구)

  • Yoo, Seong-Hwan;Son, Dae-Sung;Chang, Seung-Hwan
    • Composites Research
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    • v.24 no.3
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    • pp.6-11
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    • 2011
  • This paper presents an estimating method for local property changes and failure prediction of composite materials experiencing large shear deformation during draping process. The bone plate for the metaphyseal femur fracture was chosen to apply the presented method because it has complex geometry. The local property changes due to macro-/microscopic deformations of fabric composites during draping process were evaluated by various tests and the result was applied to predict static/fatigue behaviors of the bone plate. This paper was expected to present useful information on the design of composite structures with complex geometry and their performance evaluation.

A Study for Vibrational Characteristics Improvement of Dental Scaler Tip using Powder Injection Molding (분말사출성형을 이용한 치과용 스케일러 팁의 진동특성 개선에 관한 연구)

  • Hwang C.J.;Kim J.S.;Ko Y.B.;Chung S.T.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.343-344
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    • 2006
  • Powder injection molding(PIM) is widely used for many parts in the field of automotives, electronics and medical industries, due to the capability of net shaping for complex 3-D geometry. Powder injection mold design fur the dental scaler tip, a component of medical appliance, was presented. In comparison with conventional machining process, powder injection molding has many advantages, specially in price and dimensional stability, for molding dental scaler tip which has complex geometry. Both product design and mold design for dental scaler tip were presented. The 'rapid mold' concept was applied to manufacture the various forms of dental scaler tip.

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A Study on Fire Spreading Prediction Program by Flow Field Analysis (유동장(流動場) 해석(解析)을 통한 산불확산예측(擴散豫測) 프로그램의 개발(開發))

  • Kim, Eng-Sik;Lee, Si-Young;Lim, Hoe-Jie;Kim, Hong;Song, Jong-Hun;Kim, Soo-Young
    • Journal of Korean Society of Forest Science
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    • v.87 no.4
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    • pp.528-534
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    • 1998
  • There are many parameters in prediction of forest fire spread. Among others wind and slope factors are considered to be the important parameters in spread of forest fire. Generally, all the inclined planes with same slopes can not have the same wind velocity in complex mountain area. But this effect has been disregarded in complex geometry. In this paper, wind values which have velocity and direction is calculated by applying computational fluid dynamics to the forest geometry. These results are applied for forest fire spreading algorithm with experimental Korean ROS(Rate Of Spread). Finally, the comparison between the simulation and the real forest fire has correspondence about 90%.

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Research on the use of BIM for smart construction of Complex Geometry buildings (비정형 건축물의 스마트건설을 위한 BIM 활용에 대한 연구 - 세종포천선 처인휴게소 시공사례)

  • Park, Yang-Heum;Nam, Dong-Hun;Kim, Byung-Soo;Park, Jungjoon;Kim, Sungjin
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2023.11a
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    • pp.53-54
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    • 2023
  • Because irregular shaped buildings are designed with various three-dimensional curves, the difficulty of design and construction is very high, and more construction drawings are needed to reduce construction errors. General 2D drawings may have limitations in conveying the information necessary for construction. By utilizing BIM, it is possible to three-dimensionally design parts that are not expressed on 2D drawings and additional structurall components required for the construction of the curved exterior finishing materials. This study examines the necessity of BIM at the construction stage, its performance through it, and how it can be linked to smart construction technology through construction BIM being applied to the new construction site of Sejong-Pocheon Line Cheoin Rest Area.

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