• Title/Summary/Keyword: NURBS Curve

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NURBS Interpolator for Controlling the Surface Roughness (표면 거칠기를 고려한 NURBS 보간기)

  • Choi, In-Hugh;Jung, Tea-Sung;Hong, Won-Pyo;Yang, Min-Yang
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1226-1233
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    • 2003
  • Finish machining of a curved surface is often carried out by an NC system with curve interpolation in the field. This NURBS interpolation adopts a feedrate optimizing strategy based on both the geometrical information and dynamic properties. In case of a finish cut using a ball-end mill, the curve interpolator needs to take the machining process into account for more improved surface, while reducing the polishing time. In this study, the effect of low machinability at the bottom of a tool on surface roughness is also considered. A particular curve interpolation algorithm is proposed for generating feedrate commands which are able to control the roughness of a curved surface. The simulation of the machined surface by the proposed algorithm was carried out, and experimental results are presented.

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NURBS Interpolator for Controlling the Surface Roughness (표면 거칠기를 고려한 NURBS 보간기)

  • 최인휴;양민양;이강주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.162-167
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    • 2003
  • Finish machining of a curved surface is often carried out by an NC system with curve interpolation in the field. This NURBS interpolation adopts a feedrate optimizing strategy based on both the geometrical information and dynamic properties. In case of a finish cut using a ball-end mill. the curve interpolator needs to take the machining process into account for more improved surface, while reducing the polishing time. In this study, the effect of low machinability at the bottom of a tool on surface roughness is also considered. A particular curve interpolation algorithm is proposed for generating feedrate commands which are able to control the roughness of a curved surface. The simulation of the machined surface by the proposed algorithm was carried out, and experimental results are presented.

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Adaptive feedrate interpolator for NURBS curve (NURBS 가공을 위한 적응이송속도 보간기)

  • 마르첸코티혼;백대균;고태조;김희술
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.94-99
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    • 2002
  • Increasing demands on precision machining of 3D free-form surface have necessitated the tool smoothly varying feedrates. This paper presents on of algorithm for adaptive feedrate on NURBS curve. Since the algorithm for calculating variable feedrate depends on the curvature of curve, it permits to get constant material tool can be protected un terms of tool chipping vibration, etc.

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Parametric NURBS Curve Interpolators: A Review

  • Mohan, Sekar;Kweon, Sung-Hwan;Lee, Dong-Mok;Yang, Seung-Han
    • International Journal of Precision Engineering and Manufacturing
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    • v.9 no.2
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    • pp.84-92
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    • 2008
  • Free-form shapes which were once considered as an aesthetic feature are now an important functional requirement. CNC industries are looking for a compact solution for reproducing free-form shapes as conventional interpolation models are inadequate, The parametric curve interpolator developed in the last decade has clearly emerged as favorite among its contemporaries in recent years, At present intense research has been done on parametric curve interpolators and interesting developments are reported. Out of the various parametric representations for curves and surfaces, NURBS has been standardized and widely used in free-form shape design. This paper presents a review of various methods of parametric interpolation for NURBS and discusses the salient features, problems and solutions. Recent approaches on variable feedrate interpolation, parameter compensation are also reviewed and research trends are addressed finally.

Hull Form Definition of Underwater Vehicle using NURBS Curve (NURBS곡선을 이용한 수중운동체의 선형정의)

  • Hyun-Cheol Kim;Seon-Sik Pyo;Soo-Young Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.2
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    • pp.1-9
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    • 1995
  • This paper suggests a numerical method that creates and varies hull form geometry of underwater vehicle. That is, it induces the cylindrical underwater vehicle from principal dimensions-total length, the length of parallel middle body, the coefficient defining entrance & run parts etc.-and represents using NURBS curve. Also, each section of hull form is varied by user interface and Sectional Area Curve is generated.

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Implementation of NURBS interpolator (NURBS 보간의 적용)

  • 최인휴;양민양;이강주;김찬봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.51-54
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    • 2002
  • This paper deals with an implementation of NUBS interpolator and presents the process of its integration into PC-NC. For more accurate feed, NURBS algorithm is improved. Also, Evaluation of real time NURBS interpolator is provided to verify fred accuracy and geometrical accuracy of NURBS curve. NURBS machining of fee surface is simulated on the real time NC simulator so that machining time is compared to that of linear path machining.

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Synthesis of Automatically Path-Generating Four-Bar Linkage Using NURBS (NURBS를 이용한 4절 링크의 자동 경로 생성)

  • Hwang, Deuk-Hyun;Yang, Hyun-Ik
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.18 no.6
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    • pp.576-584
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    • 2009
  • Up to now, it has been said that no satisfactory computer solution has been found for synthesizing four-bar linkage based on the prescribed coupler link curve. In our study, an algorithm has been developed to improve the design synthesis of four bar linkage based on the 5 precision points method. The suggested algorithm generates the desired coupler curve by using NURBS, and then the generated curve approximates as closely as possible to the desired curve representing coupler link trajectory. Also, when comparing each generated curve by constructing the control polygon, rapid comparison is easily achieved by applying convex hull of the control polygon. Finally, an optimization process using ADS is incorporated into the algorithm based on the 5 precision point method to reduce the total optimization process time. As for examples, two four bar linkages were tested and the result well demonstrated the effectiveness of the algorithm.

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Variable Feedrate Interpolator for NURBS Curve Considering Material Removal Rate (소재 제거율을 고려한 이송속도 가변형 NURBS 보간기)

  • 마르첸코티혼;고태조;김희술;김정현
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.2
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    • pp.1-8
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    • 2003
  • Conventionally used linear or circular interpolator is undesirable for the precision machining of 3D free-form surface as the following reason: the transmission errors due to the huge number of data, discontinuity of segmentation, unsmooth motion speed. To this regard, modern CNC machine tools are designed with the function of machining arbitrary parametric curves. However, these systems don't consider the adaptive federate, which dominates the quality of the machining process. This paper proposes a NURBS interpolator for the constant material removal rate. That is accomplished by the variable federate using curvature of curve. The curvature-compensated feederate system has important Potential applications in ensuring part accuracy and protecting cutting tool. The simulated result show it can be applicable to the real machining.

Optimization Routing Path Design of Hydraulic Hose Using Energy Minimization (Energy Minimization을 이용한 유압 호스의 최적 경로 설계)

  • Yim, Ho-Bin;Kwon, Kang;Kim, Jay-Jung
    • Korean Journal of Computational Design and Engineering
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    • v.17 no.4
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    • pp.246-252
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    • 2012
  • The piping route of hydraulic hose is designed with avoiding interferences to surrounding components. However, in a real practice, the piping route is mostly decided with an expert's experiences on site due to the complexity of design. Thus, this paper proposes a design methodology of the optimized route of a hose. We use NURBS representation to describe the piping route, which is possible to be locally modified, and an energy minimization method is applied to avoid interferences to the surroundings. In other words, the NURBS curve describing a piping route is modified to meet the desired positions from minimizing the perturbation of the control points, and the strain energy of the curve is then optimized to make the curve natural. The proposed method is implemented and its feasibility is validated using the commercial CAD software, CATIA V5.

A Study on Reverse Design of Cam Mechanism using NURBS (NURBS를 이용한 캠 기구의 역설계에 관한 연구)

  • 김상진;신중호;김대원;윤호업
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.920-924
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    • 2002
  • This paper presents the reverse design of a cam mechanism using NURBS(Nonuniform Rational B-spline curve). Cam is very difficult to make the accurate shape on the design and the manufacture. Because the cam shape is commonly made in order to move in special functions. The reverse design can be used to check accuracy between the designed data and the manufactured data of the cam shape and also reproduce the cam without the design data. The reverse design procedures consist of motion analysis and curve fitting. The motion analysis is used the central difference method and the relative velocity method to find the displacement and velocity. The curve fitting is used NURBS to develope the whole curve. The central difference method is derived in the 3 dimensional space.

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