• Proceedings of the Korean Society of Machine Tool Engineers Conference
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• 2001.04a
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• pp.399-404
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• 2001

In CNC machining, a 3D(3-dimension) linear segment and a 2D(2-dimension) circular arc are general forms given by CAD/CAM system. Generally, the 2D circular arc machining is processed using dividing into some linear segments. A 3D circular arc also don't exist in the standard form of NC data. This paper present a algorithm and method for real-time machining of a circular arc(not only the 2D one, but also the 3D one). The 3D circular arc machining is based on the 2D circular arc machining. It only needs making a new coordinate system, converting given 3D points(a start point, a end point, and a center point of a 3D circular arc) into points of the new coordinate system, and processing a inverse transformation about a interpolated point. The proposed algorithm was implemented and simulated on PC system. It was confirmed to give a gcod result.

• Transactions of the Korean Society of Mechanical Engineers
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• v.12 no.5
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• pp.968-975
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• 1988

The maximum feedrate generated from the hardware DDA is closely related to its calculation efficiency. The smaller interpolation span results in the lower calculation efficiency. This paper presents the method to improve the calculation efficiency for the smaller interpolation span. For the linear interpolation the higher calculation efficiency can be achieved by putting biggest value that the interpolation DDA can hold. for the circular interpolation, however, the scheme used for linear interpolation does not work since arbitrary change of value in the interpolation DDA changes the radius of the circle. The bit length of the hardware DDA is adjusted instead of adjusting the value in DDA, which results in the every same effect on calculation efficiency for the circular interpolation. The hardware circuit and supporting software are designed, and tested by two axis step motor driven milling machine. The experimental results show that the proposed method drastically increases the maximum feedrate even for the smaller interpolation span.

• Journal of the Korean Society for Precision Engineering
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• v.10 no.2
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• pp.126-137
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• 1993

This paper presents an efficient method for the identification of motion error sources in NC machine tools by making use of the circular interpolation test, which is often used in estimating the motion accuracy of NC machine tools. Mathematical formulae are described for motion errors due to various kinds of error sources. Two identification formulae are proposed: one is based on the frequency analysis and the other is formulated with the weithted residual method. Motion error signal is classified into two patterns, mean errors(mean of CW and CCW test signals from mean errors). The sources of the mean errors are identified by using the frequency analysis technique and the sources of the deviation errors by the weighted residual formulaltion. A menu driven, user oriented, computer program is written to realize the full steps of the proposed identificationprocedure. Then, the identification method is applied to two NC machine tools.

• Journal of the Korean Society for Precision Engineering
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• v.11 no.6
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• pp.117-126
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• 1994

This paper describes an application step of a $R^{-{\theta}}$ method which measures circular movements in machining centers. The detection of composite errors of circular movements and a high precision cutting method in machining centers were investigated by the analysis of data measured by $R^{\theta }$method which can detect the rotating angle and is applicable to variable measuring radius. When the error by squareness error and unbalance of position-loop-gain were mixed, the detection method of each error was proposed. Although the errors by squarenss error and backlash compensation were mixed, the errors by squareness error be detected. If the errors by unbalance of position-loop-gain and backlash compensation were mixed, the errors by unbalance of position-loop-gain could not detected. A high precision cutting mehod, which uses the NC program compensated by using feed-back data from error measured by the $R^{\theta }$method, was proposed.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 1995.10a
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• pp.1033-1038
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• 1995

NC 공작기계의 contour 운동 오차를 측정하기 위하여 사용되는 Ball-Bar에 의한 원호 보간 시험 데이터를 이용하여 NC controller의 성능을 평가 할 수 있는 S/W에 의한 방법을 제시한다. 본 논문에서 지금까지는 분석이 어려웠던 Masrer-Slave Changeover의 분석을 가능하게 하였으며, Ball-Bar로 부터 얻어지는 데이터를 Weighted Residual Method에 의한 종합적인 분석을 하였으며, 오차 원인별 비교를 위해 Eztra Sum of Squares Method를 도입하였다. 본 연구의 실제 적용을 위한 측정 및 분석 S/W를 개발하였으며, 결과적으로 NC controller의 성능평가에 유용함을 알 수 있었다. 무부하 조건에서의 Ball-Bar에 의한 분석 데이터와의 비교를 위하여 원형 시편을 가공하고, 진원도 측정 및 분석을 통하여 유사한 오차 pattern을 가짐을 알 수 있었다.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 2000.05a
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• pp.977-981
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• 2000

Direct drive linear motors have large potential for use as high speed machine tool feed units since they can increase machining rates and improve servo accuracy by eliminating gear related machining problems. So, in this paper, characteristic of 2-axis linear motor feed unit are studied and control gain are adjusted considering positioning, velocity, acceleration and static stiffness. We confirm linear motor feed unit are affected value of control gain sensitively, because drive directly. From the experiment, this feed unit has l${\mu}{\textrm}{m}$ micro step resolution, 5.7${\mu}{\textrm}{m}$ positioning accuracy and under 60${\mu}{\textrm}{m}$ circularity.

• Transactions of the Korean Society of Mechanical Engineers
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• v.19 no.1
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• pp.38-44
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• 1995

We made a counter to measure the output of motor encoders for the motion error analysis of a CNC machining center, and have measured the dynamic characteristics and the position errors experimentally. Especially, we measured the radius errors for different feedrates and different radii when the CNC machining center performed a circular interpolation. We have also used an iterative learning method to reduce the radius errors and stick motion errors generated by the CNC machining center performing a circular interpolation. The results show that the proposed learning scheme can reduce the radius error and stick motion error significantly. The reduction of errors becomes more pronounced for higher feedrate and smaller radius.

• Proceedings of the KIEE Conference
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• 1993.07a
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• pp.391-394
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• 1993

The acceleration/deceleration control method and interpolated operating are essential to the servo motor control system. In a few years ago, a floating point DSP chip was used for the purpose of processing a lot of calculated amount. But in this paper, we proposed new acceleration/deceleration control method and circular interpolation algorithm without another floating point DSP chip. The validity of proposed algorithms are verified through computer simulation and experimental result.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.10 no.12
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• pp.3574-3580
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• 2009

An embedded motion controller supporting the PLC programming environment based on the IEC 61131-3 International Standard Language was developed in this paper. In this developed motion controller, the CoDeSys, one of the IEC61131-3 development tools, was embedded in order to support that of PLC as well as the development environment of the PC, and the various function blocks based on PLCopen standard for motion control such as the linear and circular interpolation control were implemented. Moreover, the ethernet based remote control on real-time operating system and the motion simulator for a motion programmer were implemented.

• 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.