• Title/Summary/Keyword: Geometric shapes

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A Study on the Computer aided Design of Multi-Stage Cold Forging Die for Rotationally Symmetric Parts. (축대칭 다단 냉간단조 금형설계에 관한 연구)

  • Choi, Jae-Chan;Kim, Seong-Weon;Cho, Hea-Yong;Kim, Hyung-Sub
    • Journal of the Korean Society for Precision Engineering
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    • v.7 no.2
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    • pp.95-104
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    • 1990
  • This paper descirbes some research of Computer-aided Design of multi-stage cold forging die of rotationally symmetric parts produced by the press or former. An approach to the system is based on knowledge based system. Knowledges for tool design are extracted from the plasticity theory, handbooks, relevent references and empirical know-how of experts in cold forging companies. The deveoped system is composed of three main modules such as die design module, punch design module, tool elements design module which are sued independently or in all. Using this system, design parameters (types of dies, geometric shapes and dimensions of dies, types of punches, geometric shapes and dimensions of punches, geometric shapes and dimensions of tool elements) in each operation are determined and the output is generated in graphic form. The develpoed system, aids designer, provides powerful capability for designing dies, punches and tool elements.

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Lateral torsional buckling of steel I-beams: Effect of initial geometric imperfection

  • Bas, Selcuk
    • Steel and Composite Structures
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    • v.30 no.5
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    • pp.483-492
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    • 2019
  • In the current study, the influence of the initial lateral (sweep) shape and the cross-sectional twist imperfection on the lateral torsional buckling (LTB) response of doubly-symmetric steel I-beams was investigated. The material imperfection (residual stress) was not considered. For this objective, standard European IPN 300 beam with different unbraced span was numerically analyzed for three imperfection cases: (i) no sweep and no twist (perfect); (ii) three different shapes of global sweep (half-sine, full-sine and full-parabola between the end supports); and (iii) the combination of three different sweeps with initial sinusoidal twist along the beam. The first comparison was done between the results of numerical analyses (FEM) and both a theoretical solution and the code lateral torsional buckling formulations (EC3 and AISC-LRFD). These results with no imperfection effects were then separately compared with three different shapes of global sweep and the presence of initial twist in these sweep shapes. Besides, the effects of the shapes of initial global sweep and the inclusion of sinusoidal twist on the critical buckling load of the beams were investigated to unveil which parameter was considerably effective on LTB response. The most compatible outcomes for the perfect beams was obtained from the AISC-LRFD formulation; however, the EC-3 formulation estimated the $P_{cr}$ load conservatively. The high difference from the EC-3 formulation was predicted to directly originate from the initial imperfection reduction factor and high safety factor in its formulation. Due to no consideration of geometric imperfection in the AISC-LFRD code solution and the theoretical formulation, the need to develop a practical imperfection reduction factor for AISC-LRFD and theoretical formulation was underlined. Initial imperfections were obtained to be more influential on the buckling load, as the unbraced length of a beam approached to the elastic limit unbraced length ($L_r$). Mode-compatible initial imperfection shapes should be taken into account in the design and analysis stages of the I-beam to properly estimate the geometric imperfection influence on the $P_{cr}$ load. Sweep and sweep-twist imperfections led to 10% and 15% decrease in the $P_{cr}$ load, respectively, thus; well-estimated sweep and twist imperfections should considered in the LTB of doubly-symmetric steel I-beams.

The Effects of Cooperative Learning on Children's Understanding of Geometry (협동학습활동이 유아 기하 학습에 미치는 영향)

  • Kwon, Young-Re;Lee, Kyung-Jin;Shin, Ok-Ja
    • Korean Journal of Child Studies
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    • v.32 no.2
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    • pp.71-85
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    • 2011
  • This study was carried out in order to better understand how cooperative learning effects the geometric understanding of young children. The geometry tasks used in the study included the geometric relationship between two dimensional shapes and three dimensional shapes, coordination, symmetry and transformation visualization and spacial reasoning. The subjects were composed of children aged five years and were taken from two kindergartens in a relatively new city close to Seoul. The experimental group of children the comparative learning in geometry. The comparative group of children were enrolled in a kindergarten that uses an the intergrated curriculum. The results indicated that cooperative learning impacted positively on the children's understanding of geometry. The specific results are as follows : The scores that the experimental acquired were higher in terms of p < .001 level. than the scores of the comparative group studying the geometric relationships between two dimensional shapes and three dimensional shapes, coordination, symmetry and transformation visualization & spacial reasoning.

Development of a 3D Virtual Costume Using Geometric Formativeness (기하학적 조형성을 이용한 3D 가상의상 개발)

  • Xu Yi;Minji Kim
    • Journal of Fashion Business
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    • v.27 no.3
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    • pp.115-131
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    • 2023
  • The revolution of digital fashion continues along with the development of technology. In particular, after COVID-19, fashion design development, exhibitions, and fashion shows using the metaverse space are being actively developed. In particular, as research on 3D virtual costumes becomes active, creative ideas are needed to develop creative virtual costumes. The purpose of this study is to examine the geometric formative characteristics of constructivism in art and fashion design and to develop 3D virtual works using them. Geometric form is a logical and rational basic form that includes the order of nature as an artistic material that has been constantly studied along with the creation of mankind a long time ago, and it has become a motif of many artworks and fashion. In this paper, we studied the application of the costume design of geometric shapes according to the 3D Clo, virtual-wear production software, and understood the effect of the combination of geometric shapes on costume styling. As the formative characteristics of constructivist art, three types of overlap, asymmetry, and simplicity were derived, and the geometric form was visually simple, clear, and concise. The first work produced virtual costumes that reflected the overlapping elements of constructivism. The second costume was produced by reflecting the asymmetric formative characteristics of constructivism. The third costume was a jacket that applied the simplicity of constructivist art.

Similarity Assessment for Geometric Query on Mechanical Parts (기계부품의 형상검색은 위한 유사성 평가방법)

  • 김철영;김영호;강석호
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.2
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    • pp.103-112
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    • 2000
  • CAD databases are the core element to the management of product information. A key to the successful use of the databases is a rational method of query to and retrieval from the databases. Although it is parts geometry that users eager to retrieve from the CAD databases, no system yet supports geometry-based query. This paper aims at developing a new method of assessing geometric similarity which can serve as the basis of geometric query for CAD database. The proposed method uses ASVP (Alternating Sums of Volumes with Partitioning) decomposition that is a volumetric representation of a part obtained from its boundary representation. A measure of geometric similarity between two solid models is defined on their ASVP tree representations. The measure can take into account overall shapes of parte, shapes of features and their locations. Several properties that a similarity measure needs to satisfy are discussed. The geometric query developed in this paper can be used in a wide range of applications using CAD databases, which include similarity-based design retrieval, variant process planning, and components selection from part library. An experiment has been carried out to demonstrate the effectiveness of the method, and the results are presented.

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Control of Morphological Development and Transformation of Curves (곡선의 형태학적 성장과 변환의 제어 방법)

  • Lee, Joo-Haeng;Park, Hyung-Jun
    • Korean Journal of Computational Design and Engineering
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    • v.12 no.5
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    • pp.354-365
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    • 2007
  • We present novel methods to generate a sequence of shapes that represents the pattern of morphological development or transformation of Bezier curves. The presented methods utilize the intrinsic geometric structures of a Bezier curve that are derived from rib and fan decomposition (RFD). Morphological development based on RFD shows a characteristic pattern of structural growth of a Bezier curve, which is the direct consequence of development path defined by fans. Morphological transformation based RFD utilizes development patterns of source and target curves to mimic the theory of evolutionary developmental biology: although the source and target curves are quite different in shapes, we can easily find similarities in their younger shapes, which makes it easier to set up feature correspondences for blending them. We also show that further controls on base transformation for intensity of feature blending, and extrapolation can compensate the immaturity of blended curves. We demonstrate the experimental results where transformation patterns are smoother and have unique geometric style that cannot be generated using conventional methods based on multi-linear blending.

Efficient Octree Encoding for Real-Time Transmission of 3D Geometric Data through Internet (인터넷을 통한 3D 형상 데이터의 실시간 전송을 위한 효율적인 Octree 인코딩 방법에 관한 연구)

  • 류중현;김영우;김덕수
    • Korean Journal of Computational Design and Engineering
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    • v.7 no.4
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    • pp.262-268
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    • 2002
  • Octree representation has the advantage of being able to represent complex shapes approximately through the repetition of simple primitive shapes. Due to this reason, octree representation together with VRML(Virtual Reality Modelling Language) is usually used for approximating 3D shapes. Since the data size of octree representation increases rapidly as 3D shape to be represented is more and more complicated, its transmission time also increase. In this paper, provided is the new octree representation and encoding/decoding scheme for real-time transmission through the internet in order to visualize 3D geometric data of large size approximately.

Segmentation of Computed Tomography using The Geometric Active Contour Model (기하학적 동적 외곽선 모델을 이용한 X-ray 단층촬영영상의 영상추출)

  • Jang, D.P.;Kim, S.I.
    • Proceedings of the KOSOMBE Conference
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    • v.1997 no.11
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    • pp.541-545
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    • 1997
  • This paper presents a modified geometric active contour model or edge detection and segmentation of computed tomography(CT) scan images. The method is based on the level setup approach developed by Osher and Sethian and the modeling of propagation fronts with curvature dependent speeds by Malladi. Based on above algorithms, the geometric active contour is obtained through a particular level set of hypersurface lowing along its gradient force and curvature force. This technique retains the attractive feature which is topological and geometric flexibility of the contour in recovering objects with complex shapes and unknown topologies. But there are limitations in this algorithm which are being not able to separate the object with weak difference from neighbor object. So we use speed limitation filter to overcome those problems. We apply a 2D model to various synthetic cases and the three cases of real CT scan images in order to segment objects with complicated shapes and topologies. From the results, the presented model confirms that it attracts very naturally and efficiently to the desired feature of CT scan images.

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FINE SEGMENTATION USING GEOMETRIC ATTRACTION-DRIVEN FLOW AND EDGE-REGIONS

  • Hahn, Joo-Young;Lee, Chang-Ock
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.2
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    • pp.41-47
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    • 2007
  • A fine segmentation algorithm is proposed for extracting objects in an image, which have both weak boundaries and highly non-convex shapes. The image has simple background colors or simple object colors. Two concepts, geometric attraction-driven flow (GADF) and edge-regions are combined to detect boundaries of objects in a sub-pixel resolution. The main strategy to segment the boundaries is to construct initial curves close to objects by using edge-regions and then to make a curve evolution in GADF. Since the initial curves are close to objects regardless of shapes, highly non-convex shapes are easily detected and dependence on initial curves in boundary-based segmentation algorithms is naturally removed. Weak boundaries are also detected because the orientation of GADF is obtained regardless of the strength of boundaries. For a fine segmentation, we additionally propose a local region competition algorithm to detect perceptible boundaries which are used for the extraction of objects without visual loss of detailed shapes. We have successfully accomplished the fine segmentation of objects from images taken in the studio and aphids from images of soybean leaves.

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Effect of Geometric Shapes on Stability of Steel Cable-stayed Bridges (기하형상에 따른 강사장교의 안정성에 관한 연구)

  • Kim, Seung-Jun;Han, Seung-Ryong;Kim, Jong-Min;Cho, Sun-Kyu;Kang, Young-Jong
    • Journal of Korean Society of Steel Construction
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    • v.23 no.1
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    • pp.13-27
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    • 2011
  • This paper presents an investigation of the structural stability of cable-stayed bridges, using geometric nonlinear finite-element analysis and considering various geometric nonlinearities, such as the sag effect of the cables, the beam-column effect of the girder and mast, and the large displacement effect. In this analytic research, a nonlinear frame element and a nonlinear equivalent truss element were used to model the girder, mast, and cable member. The live-load cases that were considered in this research were assumed based on the traffic loads. To perform reasonable analytic research, initial shape analyses in the dead-load case were performed before live-load analysis. In this study, the geometric nonlinear responses of the cable-stayed bridges with different cable arrangement types were compared. After that, parametric studies on the characteristics of the structural stability in critical live-load cases were performed considering various geometric parameters, such as the cable arrangement type, the stiffness ratios of the girder and mast, the area of the cables, and the number of cables. Through this parametric study, the effect of geometric shapes on the structural stability of cable-stayed bridges was investigated.