• Title/Summary/Keyword: Free-form Surface(자유곡면)

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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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The Approximation of Free-form Surface using Cubic Ball Curve (3차 Ball 곡선을 이용한 자유 형태 곡면 근사 방법)

  • Lee, A-Ri;Sim, Jae-Hong
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.4
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    • pp.1271-1278
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    • 2000
  • A general curve and surface is a basic method to generate Free-form object using the fundamental properties of blending function. In typical method, there is an overhead of calculating to present Free-form object with the line segments and interpolation algorithm, In this paper, for resolving this problem efficiently, it will propose the flexible Free-form curves/surfaces using Ball curve shape-preserving property. This method includes Geometric Continuity that is needed to design Free-form Surface of high degree consisted with many curves. Also, when lots of data are reduced using Geometric Property of Free-form curves, the shape-preserving property of resulting object can be maintained, then it can represent any Free-form object with less calculating .

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The Matching of Free-Form surface using Motion-based RMC (이동 기반의 RMC을 이용한 자유형태 곡면 매칭방법)

  • Park, Chul-Ho
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.11
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    • pp.3544-3555
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    • 2000
  • 매칭방법은 기하 및 입체 모델링에서 재단 곡면과 이들에 대한 부울 연산에 사용되는 기초적인 연산이다. 그러나 매칭연산은 부드러움을 정확하게 표현하는데 고 차수의 미분계수 제약조건으로 인하여 많은 계산량이 필요할 뿐만 아니라 곡면상의 여러 점을 동시에 선택하여 이동하였을 때, 곡면표현에 사용되는 복잡한 함수식으로 인하여 일반해를 구하기 어려운 단점을 가진다. 본 논문은 분수식에 의하여 RMC(Rotation-Minimizing Curve)을 정의하고 이를 이용하여 자유 형태 곡면간에 변형 매칭 방법을 제안한다. RMC는 매칭곡선과 곡면의 접선벡터, 회전벡터, 곡률의 변화율과 같은 기하학적 기법을 기반으로 한다. 제안한 방법은 입력으로 주어지는 곡면의 기하학적 복잡도와는 무관하게 매칭을 수행할 수 있으며 수행 성능은 계산된 매칭 곡선의 복잡도에 의해서만 좌우된다. 또한 곡선 표현에 사용된 값들을 정의된 매칭 곡선식에 그대로 적용할 수 있었으므로 최적화 응용 문제에 효율적으로 적용할 수 있다.

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Tool Path Generation of a Die Cavity Defined by Sculptured Surfaces (자유곡면으로 이루어진 Cavity의 가공경로생성)

  • Jun, Yong-Tae;Park, Se-Hyung
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.3
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    • pp.161-167
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    • 1993
  • This paper deals with a new method for the machining of a die cavity defined by sculptured surfaces. In machining die cavities or pockets, process planners have been faced with some troulbes. One of the troubles ius to rebove a great deal of material within a given boundary while avoiding cutter interference. Cutter interference is a ciritical problem in NC machining of a die cavity. Even though this cavity machining has been implemented in many CAM systems, most of them can handle limited shapes of cavities or pockets. In this paper, a procedure has been developed to machine die cavity or pocket of a sculptured surface. The offset surfaces of the part surfaces and boundary surfaces are determined to calculate the intersection curves. These intersection curves form a FACE on the part surface, and the interference free tool pathe is generated by eliminating the points outside the FACE when computing the cutter contact (CC) data. Additionally, the cutter location (CL) data obtained from the CC data convert to an NC data. The NC data generated through this algorithm are verified on the CINCINNATI milling machine. A propotype die cavity machining system has been implemented in FORTRAN language and FIGARO graphics library on IRIS workstation.

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A stydy on the precision machining in ball end milling system (볼 엔드밀에 의한 정밀 가공에 관한 연구)

  • Yang, Min-Yang;Sim, Choong-Gun
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.2
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    • pp.50-64
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    • 1994
  • Cutter deflections in the ball-end milling process is one of the main causes of the machining errors on a free-form surface. In order to avoid machining errors in this process, a methodology avoiding these machining errors on the free-form surfaces has been developed. In this method, feedrates in the finish cuts are adjusted for the prevention of machining errors. A model for the prediction of machining errors on the free-form surface is analytically derived as a function of feed and normal vector at the surface of contact point by the cutter. This model is applied to the dertermination of the adjusted feedrates which satisfy the machining tolerance of the surface. In the finish cuts of a simple curved surface, the suggested model is examined by the measurements of the generated machining error on this surface. And also, this surface is machined with the adjusted feedrates for the given machining tolerance. The measured machining errors on this surface are compared with the given tolerance. In this comparisons, it is shown that the predicted errors are fairly good agreement with the test results.

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A unified rough and finish cut algorithm for NC machining of free form pockets with general polygon - Part 1. Simulation (일반적인 내벽을 가진 자유바닥 곡면 파켓의 NC 가공을 위한 단일화된 황삭과 정삭 알고리즘 - Part 1. Simulation)

  • Park, Yong-hoon;Cho, Chi-woon;Kim, Sang-jin
    • Journal of Korea Society of Industrial Information Systems
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    • v.9 no.1
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    • pp.7-16
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    • 2004
  • The tool path needs to be determined in an efficient manner to generate the final NC (numerical control) code for efficient machining. This is particularly important in machining free form pockets with an arbitrary wall geometry on a three-axis CNC machine. Many CAD/CAM systems use linear interpolation to generate NC tool paths for curved surfaces. However, this needs to be modified to improve the smoothness of the machined bottom surface, reduce machining time and CL (cutter location) file size. Curved machining can be a solution to reduce these problems. The unified rough and finish cut algerian and the tool motion is graphically simulated. In this paper, a grid based 3D navigation algorithm for generating NC tool path data for both linear interpolation and a combination of linear and circular interpolation for three-axis CNC milling of general pockets with sculptured bottom surfaces is developed.

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Machining Technology of Free From Surface using Controlled of Cutting Speed (절삭속도 일정제어를 통한 자유곡명의 가공기술)

  • 김경균;강명창;이득우;정융호;김정석
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.806-809
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    • 2000
  • The factors which can improve tool life in machining are consisted of tool geometries, tool materials, coating methods. cutting environments, cutting conditions and so on. Cutting speed in cutting conditions is one of the important factors which can directly influence on the tool life. This paper deals the machinability which is concerned about the cutting direction and the tilt angle of fret form surface in hot die steel(STD I I). The NC datum were analysrd and the effective tool diameters were calculated according to the change of tilt angle the program which can continue the cutting speed with the change of spindle revolution is developed.

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A Unified Surface Modeling Technique Using a Bezier Curve Model (de Casteljau Algorithm) (베지에 곡선모델 (드 카스텔죠 알고리듬) 을 이용한 곡면 통합 모델링 기법)

  • Rhim, Joong-Hyun;Lee, Kyu-Yeul
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.4
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    • pp.127-138
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    • 1997
  • In this study, a new technique is presented, by which one can define ship hull form with full fairness from the input data of lines. For curve modeling, the de Casteljau Algorithm and Bezier control points are used to express free curves and to establish the unified curve modeling technique which enables one to convert non-uniform B-spline (NUB) curve or cubic spline curve into composite Bezier curves. For surface modeling, the mesh curve net which is required to define surface of ship hull form is interpolated by the method of the unified curve modeling, and the boundary curve segments of Gregory surface patches are generated by remeshing(rearranging) the given mesh curve net. From these boundary information, composite Gregory surfaces of good quality in fairness can be formulated.

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The Linkage between Spline/NURBS Free Surface and Shell Finite Element Analysis (Spline/NURBS 자유곡면과 쉘 해석의 연동)

  • 노희열;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.303-310
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    • 2001
  • We propose the framework which directly links shell finite element to the free form surface geometric modeling. For the development of a robust shell element, a first order shear deformable shell theory and partial mixed variational functional are provided. Bubble functions are included in the shape function of displacement to improve the performance of the developed element. The Spline/NURBS is used to generate the general free form of parameterized shell surfaces. The proposed shell finite element model linked with NURBS surface representation provides efficiency for design and analysis. Numerical examples are given in order to assess the accuracy of the performances of the proposed element.

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Ultra-precision Free-form Surface Grinding of WC Core (초경 금형의 자유 곡면 초정밀 연삭)

  • Park, Soon-Sub;Hwang, Yeon;Kim, Geon-Hee;Won, Jong-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.5
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    • pp.64-71
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    • 2009
  • Cylindrical lens core for optical transceiver was designed and machined. With the lens design data, WC asymmetric core surface data were generated for non-revolutional ultra-precision grinding. Grinding process for optimum machining conditions of target surface was studied in terms of surface roughness and form profile. We used experimental results to optimize turbine speed, feed-rate and depth of cut with durable grinding wheel wear. Ground WC cores were measured contact type profilers and verified.