• 제목/요약/키워드: B-Spline curve

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Automatic Surface Generation for Extrusion Die of Non-symmetric H- and U-shaped Sections (비축대칭 H-형 및 U-형상의 압출금형 곡면의 자동생성)

  • 임종훈;유동진;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.10a
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    • pp.318-321
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    • 2003
  • In order to generate the extrusion die surface of non-symmetric H- and U-shaped sections, an automatic surface construction method based on B-spline surface and scalar field theory is proposed in this study. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u- and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections.

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Automatic Surface Generation for Extrusion Die of Complicated Sections (복잡한 형상의 압출금형 곡면의 자동생성)

  • 임종훈;유동진;권혁홍;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.10a
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    • pp.197-200
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    • 2003
  • An automatic surface construction method based on B-spline surface and scalar field theory is proposed to generate the extrusion die surface of complicated sections in this paper. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u- and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections.

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Automatic Surface Generation for Extrusion Die of Non-symmetric H-and U-shaped sections (비축대칭 H-형 및 U-형상의 압출금형 곡면의 자동생성)

  • 유동진;임종훈;양동열
    • Transactions of Materials Processing
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    • v.12 no.6
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    • pp.572-581
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    • 2003
  • In this paper, an automatic surface construction method based on B-spline surface and scalar field theory is proposed to generate the extrusion die surface of non-symmetric H-and U-shaped sections. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u-and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections. To verify the validity of the proposed method, automatic surface generation is carried out for extrusion die of non-symmetric H-and U-shaped sections.

A Study of Performance Analysis for a Steam Turbine Blade (증기터빈 날개의 성능해석에 대한 연구)

  • Chung, Kyung-Nam;Kim, Yang-Ik;Sung, Ju-Heon;Chung, In-Ho
    • 유체기계공업학회:학술대회논문집
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    • 2004.12a
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    • pp.119-124
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    • 2004
  • In this study, a rotor blade of a Curtis turbine is investigated. Bezier curve is generally used to define the profile of turbine blades. However, this curve gives a feature of global control, which is not proper to a supersonic impulse turbine blade. Thus, a blade design method is developed by using B-spline curve so that local control is possible to obtain an optimized blade section. To design a Curtis turbine blade section systematically, the blade section has been changed by varying three design parameters using central composite design method. Flow analyses have been carried out for the blade sections, and the effects of design parameters are evaluated.

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Finite strip analysis of multi-span box girder bridges by using non-periodic B-spline interpolation

  • Choi, C.K.;Hong, H.S.
    • Structural Engineering and Mechanics
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    • v.12 no.3
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    • pp.313-328
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    • 2001
  • A multi-span bridge has the peak value of resultant girder moment or membrane stress at the interior support. In this paper, the spline finite strip method (FSM) is modified to obtain the more appropriate solution at the interior support where the peak values of solution exist. The modification has been achieved by expressing the shape function with non-periodic B-splines which have multiple knots at the boundary. The modified B-splines have the useful feature for interpolating the curve with sudden change in curvature. Moreover, the modified spline FSM is very efficient in analyzing multi-span box girder bridges, since a bridge can be modeled by an assembly of strips extended along the entire bridge length. Numerical examples of the bridge analysis have been performed to verify the efficiency and accuracy of the new spline FSM.

Preliminary Hull Form Generation by Form Parameter Method using GA (GA를 이용한 Form parameter 방법에 의한 초기선형 생성)

  • Kim, Su-Young;Shin, Sung-Chul;Shin, KYoung-Yup
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.1
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    • pp.44-51
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    • 2002
  • In order to generate hull form, fairness criteria applies to object function, B-spline curve vertices are considered as design variables, optimization is proceeded with satisfying geometric constraint conditions. GA(Genetic Algorithm) and optimality criteria apply to optimization process in this study.

Development of CAM system for 5-axis automatic roughing machine Based on Reverse Engineering (역공학 기반 5축 신발 러핑용 CAM 시스템 개발)

  • Kim Hwa Young;Son Seong Min;Ahn Jung Hwan;Kang Dong Bae
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.7 s.172
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    • pp.122-129
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    • 2005
  • Shoe with leather upper such as safety and golf shoe requires a roughing process where the upper is roughed fur helping outsole to be cemented well. It is an important and basic process for production of leather shoe but is not automated yet. Thus, there are problems that the defect rate is high and the quality of roughed surface is not uniform. In order to solve such problems, the interest in automation of roughing process is being increased and this paper introduces CAM system for 5-axis automatic roughing machine as one part of automation of roughing process. The CAM system developed interpolates a B-spline curve using points measured from the Roughing Path Measurement System. The B-spline curve is used to generate the tool path and orientation data fer a roughing tool which has not only stiffness but also flexibility to rough the inclined surface efficiently. For productivity, the upper of shoe is machined by side of the roughing tool and tool offset is applied to the roughing tool for machining of inclined surface. The generated NC code was applied to 5-axis polishing machine for the test. The upper of shoe was roughed well along the roughing path data from CAM and the roughed surface was proper fur cementing of the outsole.

Automatic Surface Generation for Extrusion Die of Arbitrarily Shaped Section using B-spline Surfaces and Scalar Field Theory (B-스플라인 곡면과 스칼라장 이론을 이용한 임의의 형상의 압출금형 곡면의 자동생성)

  • 임종훈;김광혁;유동진;양동열
    • Transactions of Materials Processing
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    • v.13 no.1
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    • pp.33-38
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    • 2004
  • A new approach for the design of extrusion die surface of arbitrarily shaped section is presented. In order to generate the extrusion die surface. an automatic surface construction method based on B-spline surface and scalar field theory is proposed. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u- and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections. To verify the validity and effectiveness of the proposed method, automatic surface generation is carried out for extrusion dies of arbitrarily shaped sections.

Generation of SAC using a ASMOD and a Hybrid curve approximation (ASMOD와 혼합 곡선 근사법을 이용한 SAC의 생성)

  • 김현철;이경선;김수영
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.435-438
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    • 1997
  • This paper presents the process generating a SAC(Sectional Area Cure) by using ASMOD(Adaptive Spline Modeling of Observation Data). That is, we define SACs of real ships as B-spline curves by a hybrid cure approximation(which is the combination method of a B-spline fitting method and a genetic algorithm) and accumulate a database of control points. Then we let ASMOD learn from the correlation principal dimensions with control points.

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Free-form Surface Generation from Measuring Points using Laser Scanner

  • Park, Jae-Won;Hur, Sugn-Min;Lee, Seok-Hee
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.4
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    • pp.15-23
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    • 2002
  • With the development of a laser scanner of high precision and increased speed, reverse engineering becomes a key approach to reduce the time for the development of new products. But the modeling process is not so automated enough until now. Modeling in real workshops is usually performed by the experienced operators and it requires a skillful technique to get the resultant surface of high quality and precision. In this paper, a systematic solution is proposed to automate the free-form surface generation from the measured point data. Compatibility is imposed to the measured point data during input curve generation. And the compatibility of cross-sectional curve is also considered for the loft surface generation. The data in each step is produced in IGES file format to make an easy interface to other CAD/CAM software without any further data manipulation.