• 제목/요약/키워드: NURBS 곡면

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Paneling of Curved NURBS Surface through Marching Geodesic - Application on Compound Surface - (일방향 지오데식을 활용한 곡면 형상의 패널링 - 복합 곡면을 중심으로 -)

  • Hong, Ji-Hak;Sung, Woo-Jae
    • Journal of KIBIM
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    • v.11 no.4
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    • pp.42-52
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    • 2021
  • Paneling building facades is one of the essential procedures in building construction. Traditionally, it has been an easy task of simply projecting paneling patterns drawn in drawing boards onto 3d building facades. However, as many organic or curved building shapes are designed and constructed in modern architectural practices, the traditional one-to-one projection is becoming obsolete for the building types of the kind. That is primarily because of the geometrical discrepancies between 2d drawing boards and 3d curved building surfaces. In addition, curved compound surfaces are often utilized to accommodate the complicated spatial programs, building codes, and zoning regulations or to achieve harmonious geometrical relationships with neighboring buildings in highly developed urban contexts. The use of the compound surface apparently makes the traditional paneling pattern projection more challenging. Various mapping technics have been introduced to deal with the inabilities of the projection methods for curved facades. The mapping methods translate geometries on a 2d surface into a 3d building façade at the same topological locations rather than relying on Euclidean or Affine projection. However, due to the intrinsic differences of the planar 2d and curved 3d surfaces, the mapping often comes with noticeable distortions of the paneling patterns. Thus, this paper proposes a practical method of drawing paneling patterns directly on a curved compound surface utilizing Geodesic, which is faithful to any curved surface, to minimize unnecessary distortions.

Addendum Surface Modeling in Draw Die Design for Stamping Automotive Panels (자동차 프레스 패널 성형을 위한 드로 금형의 어덴덤 곡면 모델링)

  • Chung, Yunchan
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.22 no.6
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    • pp.1018-1024
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    • 2013
  • In the process of draw die design for stamping automotive press panels, the addendum surfaces generated in metal forming simulation software cannot be used in downstream processes such as machining and making draw dies because simulation tools use simple discrete models for the surface geometry. The downstream processes require more precise and continuous geometric models such as NURBS surfaces. Generally, automotive die engineers manually regenerate the addendum surface geometry using the discrete model. This paper presents an automated geometric modeling process for generating addendum surfaces using draft surface models. The design parameters of the section curve for the addendum surfaces are extracted automatically from the draft geometry. Using the extracted design parameters, smooth addendum surfaces are generated automatically as NURBS surfaces. The generated surfaces are $G^1$ continuous with the part surface and the binder surface, and can be used in downstream processes.

Development of a Surface Modeling Kernel (곡면 모델링 커널 개발)

  • 전차수;구미정;박세형
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.774-778
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    • 1996
  • Developed in this research is a surface modeling kernel for various CAD/CAM applications. Its internal surface representations are rational parametric polynomials, which are generalizations of nonrational Bezier, Ferguson, Coons and NURBS surface, and are very fast in evaluation. The kernel is designed under the OOP concepts and coded in C++ on PCs. The present implementation of the kernel supports surface construction methods, such as point data interpolation, skinning, sweeping and blending. It also has NURBS conversion routines and offers the IGES and ZES format for geometric information exchange. It includes some geometric processing routines, such as surface/surface intersection, curve/surface intersection, curve projection and so forth. We are continuing to work with the kernel and eventually develop a B-Rep based solid modeler.

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A Study on the Freeform Surface Generation Using Parametric Method (파라메트릭기법을 이용한 3차원 자유곡면 생성에 관한 연구)

  • 김태규;변문현
    • Korean Journal of Computational Design and Engineering
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    • v.3 no.4
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    • pp.293-303
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    • 1998
  • The objective of this study is to develop a PC level freeform surface modeling system which explicitly represents information of part geometry. Surface modeler uses nonuniform rational B-spline (NURBS) function with nonuniform knot vector for the flexible modeling work. The results of this study are as follows. 1) By implementation surface modeler through applying representation scheme proposed to represent free-form surface explicity, the technical foundation to develop free-from surface modeling system using parametric method. 2) Besides the role to model geometric shape of a surface, geometric modeler is developed to model arbitrary geometric shape. By doing this, the availability of the modeling system is improved. Geometric modeler can be utilized application fields such as collision test of tool and fixture, and tool path generation for NC machine tool.

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Automatic Generation of Triangular Shell Element Meshes on Mid-Surface in Shell Structure (셸 구조물의 중간면에 대한 삼각형 셸 요소망의 자동생성)

  • Moon, Yeon-Cheol;Yang, Hyun-Ik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.4
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    • pp.451-460
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    • 2007
  • The surface of 3D shell structure is created by using NURBS and nodes for generating finite element mesh on the surface are created by using external node offset method. In so doing the shortest distance between nodes on the top and bottom surface is searched and then the coordinates of nodes are determined by calculating the mid point of them in the middle of top and bottom surface. Triangular elements are formed on mid surface, and the average aspect ratio of the generated triangular elements are over 0.9.

An Local Deformation Method of Free-Form Surface using Subdivision Boundary Patches (분할 경계 패치들을 이용한 자유형태 곡면의 구간변형방법)

  • 박철호;심재홍
    • Proceedings of the Korean Information Science Society Conference
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    • 1999.10b
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    • pp.574-576
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    • 1999
  • 변형방법은 물체의 일부분 혹은 전체를 사용자가 원하는 결과의 형태로 변형하는 것으로서, 복잡하고 다양한 자유 형태 곡면들을 모델링하는데 필수적인 방법이다. 이러한 객체들을 제어하기 위한 기존의 방법은 접선벡터와 경계 교차 곡선들로 구성되는 패치들을 정의하고, 물체상의 이동된 점들에 대한 변화량을 계산하기 위하여 많은 계산량이 필요한 문제점이 있었다. 본 논문에서는 분할 경계 패치들을 이용하여 이러한 문제점들을 해결한 새로운 구간 변형 방법을 제시한다. 이 방법은 물체상의 변화량을 분할 경계 곡선에 필요한 형태 제어점으로 간주하여 형태 제어점을 이용하여 불규칙한 패치들을 계산하고 이를 이용하여 접속과 제어 및 국부수정의 변형 제어 방법을 제안한다. 또한 NURBs 보간을 이용하여 변형범위를 효과적으로 제어할 수 있는 방법을 제시한다.

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Trimmed surface analysis based on T-spline FEM (T-스플라인 유한요소해석을 이용한 트림 곡면 해석)

  • Kim, Hyun-Jung;Seo, Yu-Deok;Youn, Sung-Kie
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.612-617
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    • 2008
  • In this present work, trimmed surface analysis for the 2D elasticity problem is presented. The main benefit of the proposed method is that no additional modeling for analysis of a trimmed surface is necessary. As the first attempt to deal with a trimmed surface in spline FEM, the information of the trimming curve and trimmed surface exported from CAD system is directly utilized for analysis. For this, trimmed elements are searched through employing projection scheme. For the integration of the trimmed elements, NURBSenhanced integration scheme which is used in NEFEM is adopted. The quadtree refinement of integration cell is performed for the complicated trimmed cases. The information of trimming curve is used for obtaining integration points as well as constructing stiffness matrix. The robustness and effectiveness of the proposed method are investigated by presenting various numerical examples.

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A Study on Application of Reverse Engineering for Technical Surfaces (기능성곡면의 역공학 적용에 관한 연구)

  • 황종대;정종윤;정윤교
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.319-325
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    • 2002
  • Reverse Engineering is to find CAD model through measured data of a physical model which is not available in CAD model. The measured data are obtained from measuring with Coordinate Measuring Machine or Laser Scanner. This paper introduces efficient methods of reconstruction through the applicating process of the Reverse Engineering with technical surfaces.

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Fimite Element Analysis for Shell Surface using R-adativity (R-adptivity 기법을 이용한 쉘 곡면의 유한요소해석)

  • 전성기;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.311-318
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    • 2001
  • The R-adaptivity method to the shell surface which is presented by the NURBS is proposed. The r-adaptiivty method , given by Liao and Anderson〔2〕, aggregate the grid in the region where is relatively high weight function without any grid-tanggling. In numerical examples, the strain energy error estimate of shell in the whole domain can be reduced effectively by using applied r- adaptivity method mesh.

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A Development of Pre and Post Processor for Design of Surface System of Free Form Building (비정형 건축물의 외피시스템 설계를 위한 전·후처리 모듈 개발)

  • Park, Se-Hee;Jung, Sung-Jin;Lee, Jae-Sung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.9
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    • pp.333-340
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    • 2018
  • Recently, free-form buildings have been designed with complex shapes due to digitization of the construction industry. Exterior and interior components of free-form buildings have free cross sections and curved shapes. Therefore, structural members with curvature are frequently seen. In the modeling and stability evaluation of these structures, commercial programs using classical finite element analysis are not able to perform rapid shape modeling, resulting in a decrease in productivity. Therefore, in this study, pre- and post-processing modules were developed using a prior study to rapidly model the surface of a free-form building and to automatically generate frame structures that make up the cladding. The developed modules use a subdivision algorithm with spline curves. This algorithm is used to automatically generate analytical elements from the configuration information of NURBS curves. In addition, the deformation after analysis can be viewed more realistically. The modules can quickly construct complex curved surfaces. An analysis model of the frame structure was also automatically generated. Therefore, the modules could contribute to the productivity improvement of free-form building design.