• Title/Summary/Keyword: Geometric structure

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4-DIMENSIONAL CRITICAL WEYL STRUCTURES

  • Kim, Jong-Su
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.551-564
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    • 2001
  • We view Weyl structures as generalizations of Riemannian metrics and study the critical points of geometric functional which involve scalar curvature, defined on the space of Weyl structures on a closed 4-manifold. The main goal here is to provide a framework to analyze critical Weyl structures by defining functionals, discussing function spaces and writing down basic formulas for the equations of critical points.

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Buckling Strength Analysis of Box-Column Including the Coupling Effect Between Local and Global Buckling

  • Paik, Jeom-K.
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1988.10a
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    • pp.36-42
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    • 1988
  • In this study, a formulation of the idealized plate element based upon the idealized structural unit method(ISUM) firstly proposed by Ueda et.al is made in an attempt to analyze the geometric nonlinear behaviour up to the buckling strength of thin-walled long structures like box-column structure including the coupling effect between local and global buckling. An application to the example box-column is also performed and it is found that the present method gives reliable results with consuming very short computing times and therefore is very useful for evaluation of the buckling strength of thin-walled long structures.

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Vibration control for residential building structure using viscoelastic damper (점탄성 감쇠기를 이용한 주거용 건물의 진동제어)

  • 안상경;오정근;이성원;박현일;김원식;김영석
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.127-132
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    • 2003
  • Through advance in construction techniques, engineering progress, availability of new materials, and economic considerations, buildings are becoming taller, lighter, and more flexible. In addition, today/s buildings are largely of regular geometric shape with smooth glass metal exteriors, which increase the likelihood of vortex shedding. The wind induced oscillation of the building, if not properly damped, could cause occupant discomfort and other problem. This paper will deal with residual building structure equipped with viscoelastic dampers. And the dampers are installed on the 42th story according to the maximum relative deformation.

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Parametric design for mechanical structure using knowledge-based system (역학적 구조에 대한 Knowledge-based 시스템을 이용한 파라메트릭 설계)

  • 이창호;김병인;정무영
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.1018-1023
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    • 1993
  • In mechanical structure design area, many FEM (Finite Element Method) packages are used. But the design using FEM packages depends on an iterative trial and error manner and general CAD systems cannot cope with the change of parameters. This paper presents a methodology for building a designing system of a mechanical structure. This system can generate the drawing for a designed structure automatically. It consists of three steps: generation of a structure by selection of the parameters, stress analysis, and generation of a drawing using CAD system. FEM module and parametric CAD module are developed for this system. Inference engine module generates the parameters with a rule base and a model base, and also evaluates the current structure. The parametric design module generates geometric shapes automatically with given dimension. Parametric design is implemented with the artificial intelligent technique. In older to the demonstrate the effectiveness of the developed system, a frame set of bicycle was designed. The system was implemented on an SUN workstation using C language under OpenWindows environment.

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Integrability of the Metallic Structures on the Frame Bundle

  • Islam Khan, Mohammad Nazrul
    • Kyungpook Mathematical Journal
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    • v.61 no.4
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    • pp.791-803
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    • 2021
  • Earlier investigators have made detailed studies of geometric properties such as integrability, partial integrability, and invariants, such as the fundamental 2-form, of some canonical f-structures, such as f3 ± f = 0, on the frame bundle FM. Our aim is to study metallic structures on the frame bundle: polynomial structures of degree 2 satisfying F2 = pF +qI where p, q are positive integers. We introduce a tensor field Fα, α = 1, 2…, n on FM show that it is a metallic structure. Theorems on Nijenhuis tensor and integrability of metallic structure Fα on FM are also proved. Furthermore, the diagonal lifts gD and the fundamental 2-form Ωα of a metallic structure Fα on FM are established. Moreover, the integrability condition for horizontal lift FαH of a metallic structure Fα on FM is determined as an application. Finally, the golden structure that is a particular case of a metallic structure on FM is discussed as an example.

Real projective structures on the (2,2,2,2)-orbifold

  • Jun, Jinha
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.535-547
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    • 1997
  • The (2, 2, 2, 2)-orbifold is a 2-dimensional orbifold with four order 2 cone points having 2-sphere as an underlying space. The (2, 2, 2, 2)-orbifold admits different geometric structures. The purpose of this paper is to find some real profective structures on the (2, 2, 2, 2)-orbifold.

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Calculation of the Dipole Moments for Transition Metal Complexes

  • Golding, R. M.;Ahn, Sang-Woon
    • Bulletin of the Korean Chemical Society
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    • v.2 no.2
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    • pp.48-55
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    • 1981
  • A new approach in calculating the dipole moments for transition metal complexes has been proposed and the calculated results are tabulated with the experimental values. The calculated dipole moments are applied to the theoretical prediction or confirmation of the geometric structure for the transition metal complexes.

CHARACTERIZATIONS ON GEODESIC GCR-LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER STATISTICAL MANIFOLD

  • Rani, Vandana;Kaur, Jasleen
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.432-446
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    • 2022
  • This article introduces the structure of GCR-lightlike submanifolds of an indefinite Kaehler statistical manifold and derives their geometric properties. The characterizations on totally geodesic, mixed geodesic, D-geodesic and D'-geodesic GCR-lightlike submanifolds have also been obtained.

Efficient 3D Geometric Structure Inference and Modeling for Tensor Voting based Region Segmentation (효과적인 3차원 기하학적 구조 추정 및 모델링을 위한 텐서 보팅 기반 영역 분할)

  • Kim, Sang-Kyoon;Park, Soon-Young;Park, Jong-Hyun
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.49 no.3
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    • pp.10-17
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    • 2012
  • In general, image-based 3D scenes can now be found in many popular vision systems, computer games and virtual reality tours. In this paper, we propose a method for creating 3D virtual scenes based on 2D image that is completely automatic and requires only a single scene as input data. The proposed method is similar to the creation of a pop-up illustration in a children's book. In particular, to estimate geometric structure information for 3D scene from a single outdoor image, we apply the tensor voting to an image segmentation. The tensor voting is used based on the fact that homogeneous region in an image is usually close together on a smooth region and therefore the tokens corresponding to centers of these regions have high saliency values. And then, our algorithm labels regions of the input image into coarse categories: "ground", "sky", and "vertical". These labels are then used to "cut and fold" the image into a pop-up model using a set of simple assumptions. The experimental results show that our method successfully segments coarse regions in many complex natural scene images and can create a 3D pop-up model to infer the structure information based on the segmented region information.