• Title/Summary/Keyword: 원호보간법

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An improved NC-code generation method for circular interpolation (새로운 원호보간법에 의한 공구경로의 생성)

  • Yang, Min-Yang;Shon, Tae-Young;Cho, Hyun-Deog
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.11
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    • pp.77-83
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    • 1997
  • This work is concerned with the algorithm of generating a new circular are interpolation. This research presents a new biarc curve fitting that is a circular interpolation method based on a triarc curve fitting. The triarc method, where a segment span is composed of three circular arcs, using maximum error estimation has the advantage of generating arc splines easily to a given tolerance. The new biarc method is called when the adjacent radii are the same in the same in the triarc method. In generating the machining data for various cam curves in CNC machining with the biarc method and the new biarc method, the latter accomp- lished faster NC-code generation, shorter NC-code block formation and machined the same cam profile more efficiently.

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A Study on Machining Information Analysis of Disk Cam using Circular Interpolation (원호보간법을 이용한 평면 캠 가공 정보 분석에 관한 연구)

  • Cho, I.Y.;Kim B.J.;Kim J.C.;Shin J.H.;Kwon S.M.;Woo J.Y.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1678-1681
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    • 2005
  • The disk cam mechanism cam produce a positive motion with a relatively few components. In the present paper a shape design of cam using the relative velocity method and the machining information analysis using the circular interpolation are introduced. In the first part of the paper a machining information at each point using the circular interpolation is taken. This study purposes the analysis method of the cutting error due to the moving path of the cutter, so that we can lead to the optimum design in a disk cam mechanism..

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An Efficient Approach to Circular Curve Fitting of Articulated Manipulators Using Least Squares (최소자승법을 이용한 수직다관절 Manipulator의 원호보간에 관한 효과적인 방법)

  • 김대영;최은재;정원지;서영교;홍형표
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.570-575
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    • 2002
  • This paper presents a new circular curve fitting approach of articulated manipulators, based on pseudoinverses. The paper aims at gaining the interpolation of circle from n data points, under the condition that the fitted circle should pass both a start point and an end point. In this paper, two algorithms of circular interpolation are presented. Prior to circular interpolation, are a spherical fitting should be performed, using least squares. In the first algorithm, the relationship between point data and normal vector on the sphere is used. In the second algorithm. the equation of plane which can be obtained from 3 points, i.e., a start point, an end point, and center of a sphere. The proposed algorithms are show to be efficient by using MATLAB-based simulation.

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A New Circular Curve Fitting of Articulated Manipulators Using Least Squares (Least Square를 이용한 수직다관절 Manipulator의 새로운 원호 경로 보간 방법)

  • 정원지;이춘만;김대영;서영교;홍형표
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.4
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    • pp.17-22
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    • 2003
  • This paper presents a new circular curve fitting approach of articulated manipulators, based on least square. The approach aims at gaining the interpolation of circle from n data points, under the condition that the fitted circle should pass both a starting point and an ending point. First a spherical fitting should be performed, using least squares. Then the circular curve fitting can be resulted from the intersection of the fitted sphere and the plane obtained from 3 points, i. e., a starting point, an ending point and the center of a sphere. The proposed algorithms are shown to be efficient by using MATLAB-based simulation.

A Study on the Automation of NC Programming for Machining Cam Profile by Biarc Interpolation Method (캠 형상 가공을 위한 Biarc 곡선보간법을 이용한 NC 프로그래밍의 자동화에 관한 연구)

  • Jung, C.Y.;Kim, Y.K.;Yoon, M.C.;Sim, S.B.;Ha, M.K.;Kim, K.H.
    • Journal of Power System Engineering
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    • v.5 no.2
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    • pp.43-49
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    • 2001
  • For machining auto-mobile cam, the developed biarcs-fitting method eliminates the ridge problems in conventional straight-line fitting approximation or single-arc fitting of curve tool path where it leaves ridges of tool marks on the machined surface of the workpiece. The powerful advantage of this biarc method is demonstrated by applying it to the numerically controlled machining of a curved cam profile, also verified by using a CNC simulating program for auto-mobile cam profile. As a result, this algorithm may be used in CNC milling and turning for cam profile machining with short block line.

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Modified Raised-Cosine Interpolation and Application to Image Processing (변형된 상승여현 보간법의 제안과 영상처리에의 응용)

  • 하영호;김원호;김수중
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.4
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    • pp.453-459
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    • 1988
  • A new interpolation function, named modified raised-cosine interpolation, is proposed. This function is derived from the linear combination of weighted triangular and raised-cosine functions to reduce the effect of side lobes which incur the interpolation error. Interpolation error reduces significantly for higher-order convolutional interpolation functions of linear operators, but at the expense of resolution error due to the attenuation of main lobe. However, the proposed interpolation function enables us to reduce the side lobes as well as to preserve the main lobe. To prove practicality, this function is applied in image reconstruction and enlargement.

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A Study on the Optimized Biarc Curve Fitting of Involute Curve (인벌류트 곡선의 Biarc Curve Fitting 최적화에 관한 연구)

  • Cho, Seung-Rae;Lee, Choon-Man
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.4 s.97
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    • pp.71-78
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    • 1999
  • The determination of the optimum biarc curve passing through a given set of points along involute curve is studied. The method adopted is that of finding the optimum number of span and the optimum length of the span such that error between the biarc curve and involute curve minimum. Iterative method is effectively used to find the optimim number and length of the span on involute curve with reduced length of NC-code.

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A study on the biarc curve fitting of involute curve (Involute Curve의 Biarc Curve Fitting에 관한 연구)

  • Lee, C.M.;Lee, S.H.;Cho, S.R.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.12
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    • pp.78-85
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    • 1996
  • The determination of the optimum biarc curve passing through a given set of points along involute curve is studied. The method adopted is that of finding the optimum no. of span and the optimum length of the span such that the error between the biarc curve and involute curve is minimum. Irregular curve span method is effectively used to describe the involute curve with reduced length of NC-Code.

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3-D Working Point Decision Method for Industrial Robot (산업용 로봇의 3차원 작업 위치 결정 방법)

  • Ryu, Hang-Ki;Lee, Jae-Kook;Kim, Byeong-Woo;Choi, Won-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.1
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    • pp.121-127
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    • 2008
  • In this paper, we propose a new 3-D working point determination method for industrial robot using vision camera system and block interpolation technique with feature points in a vehicle body. To detect the feature points in a vehicle body, we applied the pattern matching method. For determination of working point, we applied block interpolation method. The block consists of 3-D type blocks with detected feature points per section. 3-D position is selected by Euclidean distance between 245 feature values and an acquired feature point. In order to evaluate the proposed algorithm, experiments are performed in glass equipment process in real industrial vehicle assembly line.

A Study on the Development of CAD/CAM System for High Precision Cam Profile CNC Grinding Machine (고 정밀 캠 프로파일 CNC 연삭기용 CAD/CAM 시스템 개발에 관한 연구)

  • Lim, Sang-Heon;Jung, Jong-Yun;Lee, Choon-Man
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.15 no.5
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    • pp.44-50
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    • 2006
  • Cam mechanisms are one of the most popular devices for generating irregular motion and are widely used in many automatic equipments, such as textile machinery, internal combustion engines and other automatic devices. In order to obtain the positive motion of follower by rotating cam, its shape should be correctly designed and manufactured. In present paper, a CAD/CAM system is developed for shape design of disk cams using relative velocity method and NC code generation using the biarc curve interpolation. And, a disk cam is successfully manufactured by the developed CAD/CAM system. Thus, it is shown that the developed CAD/CAM system can be used for high precision cam profile CNC grinding machine.