• 제목/요약/키워드: Trimmed Parametric Surface

검색결과 7건 처리시간 0.024초

NURBS 곡면에서 사각형 요소망의 자동생성 시스템 (Automatic Generation System for Quadrilateral Meshes on NURBS Surfaces)

  • 김형일;박장원;권기연;조윤원;채수원
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.894-899
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    • 2000
  • An automatic mesh generation system with unstructured quadrilateral elements on trimmed NURBS surfaces has been developed.. In this paper, NURBS surface geometries in the IGES format have been used to represent model shape. NURBS surface is represented as parametric surface. So each surface could be mapped to a 2D parametric plane through the parametric domain. And then meshes with quadrilateral elements are constructed in this plane. Finally, the constructed meshes are mapped back to the original 3D surface through the parametric domain. In this paper, projection plane, quasi-expanded plane and parametric Plane are used as 2D mesh generation plane. For mapping 3D surface to parametric domain, Newton-Rhapson Method is employed. For unstructured mesh generation with quadrilateral elements on 2D plane, a domain decomposition algorithm using loop operators has been employed. Sample meshes are represented to demonstrate the effectiveness of the proposed algorithm.

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박판성형해석을 위한 자동 프리에지 제거에 관한 연구 (A Study on the Automatic Elimination of Free Edge for Sheet Metal Forming Analysis)

  • 유동진
    • 소성∙가공
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    • 제13권7호
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    • pp.614-622
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    • 2004
  • A new approach for the automatic elimination of free edges in the finite element model for the analysis of sheet metal forming processes is presented. In general, the raw finite element model constructed from an automatic mesh generator is not well suited for the direct use in the downstream forming analysis due to the many free edges which requires tedious time consuming interactive graphic operations of the users. In the present study, a general method for the automatic elimination of free edges is proposed by introducing a CAD/CAE hybrid method. In the method a trimmed parametric surface is generated to fill the holes which are orginated from the free edges by using the one step elastic finite element analysis. In addition, mesh generation algorithm is suggested which can be used in the general trimmed surface. In order to verify the validity of the proposed method, various examples including actual automobile sheet metal parts are given and discussed.

쿼드트리를 이용한 일반적인 3차원 트림곡면에서의 유한요소 자동생성 (Automatic Mesh Generation in the General Three-Dimensional Trimmed Surface using Qua)

  • 유동진;윤정환
    • 한국정밀공학회지
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    • 제17권3호
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    • pp.136-148
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    • 2000
  • In this work, a general method for the mathematical description of three-dimensional trimmed surface is proposed by introducing the base parametric surface and boundary curves. Since mesh density distribution for the analysis may vary by cases, a grid-based mesh generation algorithm using quadtree is proposed in the present work. For the assurance of connectivity of generated meshes among surfaces, a method for the pre-cleaning of boundary curves has been developed to be used in the automatic generation of the finite elements. In addition, mesh-smoothing algorithm is suggested which can be used in the general trimmed surface. In this algorithm nodes are moved on the original surface by the normal projection in each iterative smoothing procedure.

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박판성형해석을 위한 자동 툴 격자 생성에 관한 연구 (Investigation on the Automatic Tool Mesh Generatio for Sheet Metal Stamping Analysis)

  • 유동진
    • 소성∙가공
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    • 제9권2호
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    • pp.140-151
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    • 2000
  • The finite element mesh approach for tool surface description is applied effectively to analyze sheet metal stamping processes. To improve the mesh quality and the stability of the mesh generation process, a gybrid method based on the grid approach and the Delaunay triangulation is proposed in the present work. In the present study, a general method for the mathematical description of arbitrarily shaped tool surface is proposed by introducing the parametric surface approach. A polynomial function employed to describe the base parametric surface and the boundary curves are defined to describe arbitrary three-dimensional trimmed surfaces. To verify the validity of the proposed method, automatic mesh generation is carried out for some shosen complicated parts including actual automotive panel.

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트림 곡면상에서 사각형 요소망의 자동 생성 (Automatic Generation of Quadrilateral Meshes on Trimmed Surfaces)

  • 김형일;채수원
    • 한국CDE학회논문집
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    • 제4권2호
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    • pp.153-161
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    • 1999
  • An atomatic mesh generation scheme with unstructured quadrilateral elements on trimmed surfaces has been developed. Trimmed surfaces are often encountered in modeling of structures with complex shapes such as aircrafts, automobile structures, pressure vessels and etc. For unstructured mesh generation with quadrilateral elements, a domain decomposition algorithm employing loop operators has been used. Mesh generation on trimmed surface is performed in three steps. First, trimmed surfaces with holes or cuts are transformed to th largest projection planes in which the meshes are constructed. The constructed meshes are transformed to the u-v parametric plane and then finally to the original 3D surfaces. Th exact locations of holes or cuts in projection planes are determined by the Newton-Raphson method. Sample meshes are constructed to demonstrate the effectiveness of the proposed algorithm.

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거리영상과 밝기영상의 fusion을 이용한 영상분할 (Image Segmentation Based on Fusion of Range and Intensity Images)

  • 장인수;박래홍
    • 전자공학회논문지S
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    • 제35S권9호
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    • pp.95-103
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    • 1998
  • 본 논문에서는 거리영상과 발기영상의 fusion을 이용한 영상분할을 제안한다. Bayes 이론을 기반으로 하여 Markov random field (MRF)로 선험적인 정보를 모델링한다. 거리영상과 밝기영상에서 추출한 특징을 이용하여 maximum a posteriori (MAP) 추정기를 구성한다. 거리영상에서 물체는 국부적인 평면으로 근사되어 각 점마다 평면 계수를 추정해 계수 공간을 구성한다. 밝기영상에서는 ${\alpha}$ 트림드 (${\alpha}$-trimmed) 분산이 밝기특성을 구성한다. 각 공간상의 특징을 에지에 대한 likelihood를 설정하여 구성된 MAP 추정기를 최적화함으로써 영상을 분할한다. 모의실험을 통해 제안된 구조가 그림자, 잡음 그리고 광원의 blurring에 관계없이 영상을 잘 분할한 것을 보였다.

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단면 분할 FFD를 이용한 3D 라스트 데이터 생성시스템 개발 (Three Dimensional Last Data Generation System Utilizing Cross Sectional Free Form Deformation)

  • 김시경;박인덕
    • 제어로봇시스템학회논문지
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    • 제11권9호
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    • pp.768-773
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    • 2005
  • A new approach for human foot modelling and last design based on the cross sectional method is presented in this paper. The proposed last design method utilizes the dynamic trimmed parametric patches for the foot 3D data and last 3D data. The cross section a surface of 3D foot for the 3D last, design modeling of free form geometric last shapes. The proposed last design scheme wraps the 3D last data surrounding the measured 3D foot data with the effect of deforming the last design rule The last design rule of the FFD is constructed on the FFD lattice based on foot-last shape analysis. In addition, the control points of FFD lattice are constructed with cross sectional data interpolation methods from the a finite set of 3D foot data. The deformed 3D last result obtained from the proposed FFD is saved as a 3D dxf foot data. The experimental results demonstrate that the last designed with the proposed scheme has good performance.