• Title/Summary/Keyword: Geometric structure

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Current Source Disposition of Large-scale Network with Loop-reduction Drawing Technique (망축소작도법에 의한 대형회로망 전류원 처리)

  • Hwang, Jae-Ho
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.5
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    • pp.278-286
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    • 2000
  • A new large-scale network geometric analysis is introduced. For a large-scale circuit, it must be analyzed with a geometric diagram and figure. So many equations are induced from a geometric loop-node diagram. The results are arranged into a simple matrix, of course. In case of constructing a network diagram, it is not easy to handle voltage and current sources together. Geometric loop analysis is related to voltage sources, and node analysis is to current sources. The reciprocal transfer is possible only to have series or parallel impedance. If not having this impedance, in order to obtain equivalent circuit, many equations must be derived. In this paper a loop-reduction method is proposed. With this method current source branch is included into the other branch, and disappears in circuit diagram. So the number of independent circuit equations are reduced as much as that of current sources. The number is not (b-n+1), but (b-n+1-p). Where p is the number of current sources. The reduction procedure is verified with a geometric principle and circuit theory. A resultant matrix can be constructed directly from this diagram structure, not deriving circuit equations. We will obtain the last results with the help of a computer.

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Automatic FE Mesh Generation Technique using Computer Aided Geometric Design for Free-form Discrete Spatial Structure (CAGD를 이용한 프리폼 이산화 공간구조물의 유한요소망 자동생성기법)

  • Lee, Sang-Jin
    • Journal of Korean Association for Spatial Structures
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    • v.10 no.2
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    • pp.77-86
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    • 2010
  • This paper provides background theories and numerical results of automatic finite element (FE) mesh generation for freeform discrete structures. The present method adopts the computer aided geometric design (CAGD) technique to overcome the limitation of case-sensitive traditional automatic FE mesh generator. The present technique involves two steps. The first one is to represent the shape of the structure using the geometric model based on the CAGD and the second one is to generate the discrete FE mesh of spatial structures over the geometric model. From numerical results, it is found to be that the present technique is very easy to produce the FE mesh for free-form spatial structures and it can also reuse some features of traditional automatic mesh generator in the process. Furthermore, it shows the possibility to be used for the shape optimization of large spatial structures.

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Procedural Method for Detecting Conic Sections in the Intersection of Two Tori (두 토러스의 교차곡선에서 이차곡선의 발견을 위한 절차적 방법)

  • 김구진;김명수
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.4
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    • pp.336-346
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    • 2000
  • This paper presents a geometric method that can detect and compute all conic sections in the intersection of two tori. Conic sections contained in a torus must be circles. Thus, when two tori intersect in a conic section, the intersection curve must be a circle as well. Circles in a torus are classified into profile circles, cross-sectional circlet, and Yvone-Villarceau circles. Based on a geometric classification of these circles, we present a procedural method that can detect and construct all intersection circles between two tori. All computations can be carried out using simple geometric operations only: e.g., circle-circle intersections, circle-line intersections, vector additions, and inner products. Consequently, this simple structure makes our algorithm robust and efficient, which is an important advantage of our geometric approach over other conventional methods of surface intersection.

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Analyzing nonlinear mechanical-thermal buckling of imperfect micro-scale beam made of graded graphene reinforced composites

  • Khalaf, Basima Salman;Fenjan, Raad M.;Faleh, Nadhim M.
    • Advances in materials Research
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    • v.8 no.3
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    • pp.219-235
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    • 2019
  • This research is devoted to analyzing mechanical-thermal post-buckling behavior of a micro-size beam reinforced with graphene platelets (GPLs) based on geometric imperfection effects. Graphene platelets have three types of dispersion within the structure including uniform-type, linear-type and nonlinear-type. The micro-size beam is considered to be perfect (ideal) or imperfect. Buckling mode shape of the micro-size beam has been assumed as geometric imperfection. Modified couple stress theory has been used for describing scale-dependent character of the beam having micro dimension. Via an analytical procedure, post-buckling path of the micro-size beam has been derived. It will be demonstrated that nonlinear buckling characteristics of the micro-size beam are dependent on geometric imperfection amplitude, thermal loading, graphene distribution and couple stress effects.

A Geometric Structure for Uniform Bend Transition in a pi cell

  • Kim, Tae-Jin;Lee, Seo-Hern;Park, Kyoung-Ho;Gwang, Jin-Seog;Lee, Gi-Dong;Yoon, Tae-Hoon;Kim, Jae-Chang
    • 한국정보디스플레이학회:학술대회논문집
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    • 2003.07a
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    • pp.551-554
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    • 2003
  • A novel geometric solution for uniform bend transition in a pi cell has proposed. In order to obtain the uniform bend transition, we applied hybrid domain structure to the edge of a LC cell by using ion-beam alignment method. As a result, we confirmed that the uniform bend transition has arisen from the edge to the center. From the proposed structure, we expect that the reliable and uniform bend transition can be achieved in the pi cell.

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Implementation of 3D Structure Reconstruction System Using Geometric Primitives (원시기하도형을 이용한 3차원구조 복원시스템의 구현)

  • 남현석;구본기;진성일
    • Proceedings of the IEEK Conference
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    • 2003.11a
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    • pp.237-240
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    • 2003
  • We implement a system for 3D structure reconstruction from multiple 2D images. It uses geometric primitives such as box, wedge, pyramid, etc, each having translation, rotation, and scale parameters. Primitives are marked on input images with GUI (Graphic User Interface). Lines made by projection of primitives onto an image correspond to marked line segments of the image. Error function is defined by disparity between them and is minimized by downhill simplex method. By assigning relationship between models, the number of parameters to solve can be decreased and the resultant models become more accurate To share variables among other models also reduces computational complexity. Experiments using real images have shown that the proposed method successfully reconstructs 3D structure.

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A Study on the Nonlinear Analysis of Dynamic Response of Shell Structure (Shell 구조물의 비선형 동적응답 해석에 관한 연구)

  • Bae, Dong-Myung;Jin, Jong-Dae
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.28 no.1
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    • pp.79-92
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    • 1992
  • This is analyzed using the finite element method which is appling excellent isoparametric curve element in the aspect of large usages of dynamic responses in which is regarding geometric and material nonlinear of a large scale shell structure of an airplane, a submarine, a ship, and an ocean structure. The solution of dynamic equations is got by direct integration method using time-stepping procedure and regarding Central Difference Method of the both solutions. But because formal matrix factorization is not necessary in each time step and it does not take less time to compute relatively, this method must be regarded very few time steps on the condition. Axisymmatric shell problems are inspected using 8 node Isoparametric element in this paper. Partial axisymmatric spherical shell is used as a model to analyze axisymmatric nonlinear dynamic behavior regarding. Total Lagrangian formulation in geometric nonlinear behavior and elastio-viscoplastic in material nonlinear behavior.

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A Study on the Comparison of Performances between Section Property Method and Section Shape Method for the Section Design of Vehicle Structure (차체단면설계를 위한 단면계수법 및 단면형상법의 성능비교에 관한 연구)

  • 서명원;이정환
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.1
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    • pp.135-147
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    • 2000
  • Section design of vehicle structure has been developed by two methods. One is the section property method which uses section property as a design variable. This method shows the tendency of an optimum section approximately. The other method is the section shape method which utilizes geometric parameter of section as a design variable. Practical solutions are obtained by this method. However, it is very expensive for large-scale problems due to the large number of geometric parameters. These two methods are compared through several sample problems. The finite element method is used for the structural and sensitivity analyses. The results are analyzed based on the number of function evaluations, the quality of cost function, the complexity of programing, and etc. The applications of both methods are also discussed.

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A Study on the Analysis of Welding Distortion for Moon Pool Structure of FPSO Vessel (FPSO선 Moon Pool구조의 용접변형 해석에 관한 연구)

  • KIM SANG-IL
    • Journal of Ocean Engineering and Technology
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    • v.17 no.3 s.52
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    • pp.27-32
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    • 2003
  • The welding distortion of a hull structure in the shipbuilding industry is inevitable at each assembly stage. The geometric inaccuracy caused by the distortion tends to preclude the introduction of automation and mechanization. Thus, additional man-hours are needed for the adjusting work in the assembly stage. To overcome this problem, a distortion control method should be applied. For this purpose, it is necessary to develop an accurate prediction method that can explicitly account for the influence of various factors on the welding distortion. In order to minimize the weld-induced residual deformation, this paper proposes the optimum welding sequence as a method for distortion control. The validity of this method has been substantiated by a number of numerical simulations and experiments.

Probabilistic dynamic analysis of truss structures

  • Chen, J.J.;Che, J.W.;Sun, H.A.;Ma, H.B.;Cui, M.T.
    • Structural Engineering and Mechanics
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    • v.13 no.2
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    • pp.231-239
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    • 2002
  • The problem of dynamic analysis of truss structures based on probability is studied in this paper. Considering the randomness of both physical parameters (elastic module and mass density) of structural materials and geometric dimension of bars respectively or simultaneously, the stiffness and mass matrixes of the elements and structure have been built. The structure dynamic characteristic based on probability is analyzed, and the expressions of numeral characteristics of inherence frequency random variable are derived from the Rayleigh's quotient. The method of structural dynamic analysis based on probability is developed. Finally, two examples are given.