• 한국초등수학교육학회지
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• 제23권4호
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• pp.481-506
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• 2019

수학의 기본 개념인 수직과 평행은 현행 2015 개정 교육과정에 따른 교과서에서 이전 2009 개정 교육과정에 따른 교과서에 비하여 축소되어 제시된다. 본 연구에서는 초등학교 수학에서 수직과 평행 개념의 지도 방안을 탐색하기 위하여 한국의 2009 개정 및 2015 개정 초등학교 수학과 교육과정 및 그에 따른 교과서에서 수직과 평행에 관한 내용을 분석하고, 한국과 싱가포르, 일본 교과서에서 수직과 평행 개념의 지도 방법을 비교 분석하였다. 교과서 분석을 바탕으로 4학년 2학기 4. 사각형 단원에서 다루어지는 수직과 평행 수업을 재구성하여 실행하였다. 교과서 분석 결과, 2009 개정 교육과정에 따른 교과서에서 2015 개정 교육과정에 따른 교과서로 변화할 때 단원명 및 차시 구성의 차이가 있었으며, 한국과 싱가포르, 일본 교과서는 수직과 평행의 개념 정의 및 활동 내용에서 차이를 드러냈다. 수업의 계획 및 실행에서는 수직과 평행 개념의 의미를 이해하고, 수선 및 평행선 긋는 방법을 탐색하며, 실생활과의 연관성에 초점을 두었다. 본 연구 결과를 통하여 초등학교 수학에서 수직과 평행을 의미 있게 지도할 수 있기를 기대한다.

• Transactions on Electrical and Electronic Materials
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• 제17권6호
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• pp.363-368
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• 2016

Rectangular shape detection plays an important role in many image recognition systems. However, it requires continued research for its improved performance. In this study, we propose a strong rectangular shape detection algorithm, which combines the canny edge and line detection algorithms based on the perpendicularity and parallelism of a rectangle. First, we use the canny edge detection algorithm in order to obtain an image edge map. We then find the edge of the contour by using the connected component and find each edge contour from the edge map by using a DP (douglas-peucker) algorithm, and convert the contour into a polyline segment by using a DP algorithm. Each of the segments is compared with each other to calculate parallelism, whether or not the segment intersects the perpendicularity intersecting corner necessary to detect the rectangular shape. Using the perpendicularity and the parallelism, the four best line segments are selected and whether a determined the rectangular shape about the combination. According to the result of the experiment, the proposed rectangular shape detection algorithm strongly showed the size, location, direction, and color of the various objects. In addition, the proposed algorithm is applied to the license plate detecting and it wants to show the strength of the results.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2007년도 춘계학술대회논문집
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• pp.852-858
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• 2007

This paper investigates the dynamic characteristics of a tilted HDD spindle system with fluid dynamic bearings (FDBs). Tilting motion of a HDD spindle system may be caused by improper manufacturing tolerance, such as imperfect cylindricity between shaft and sleeve of FDBs, imperfect perpendicularity between shaft and thrust as well as the gyroscopic moment of the unbalanced mass of the rotating part. Tilting motion may result in the instability of the HDD spindle system and it may increase the disk run-out to limit memory capacity. This research proposes a modified Reynolds equation for the coupled journal and thrust FDBs to include the variable film thickness due to the cylindricity and the perpendicularity. Finite element method is used to solve the Reynolds equation for the pressure distribution. Reaction forces and friction torque are obtained by integrating the pressure and shear stress, respectively. The dynamic behavior is determined by solving the equations of a motion of a HDD spindle system in six degrees of freedom with the Runge-Kutta method to study whirling and tilting motions. This research shows that the cylindricity and the perpendicularity increase the tilting angle and whirl radius of the rotor.

• Design & Manufacturing
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• 제12권3호
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• pp.31-35
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• 2018

In this paper, the method of improving the flatness and perpendicularity for a corner fixing bracket of the large display frame is studied through experiments. Three specimens were tested, one specimen not subjected to bending line before bending, and two specimens with a straight groove with 0.2 mm and 0.5 mm depth. Experimental results show that the flatness of bracket becomes worse with deeper depth. When there is no straight groove, the perpendicularity becomes worse. For the flatness correction, a restriking process was added. The twist of bracket was corrected by performing the restriking with a curvature larger than the twist amount in the direction opposite to the deformed direction. We also found that the perpendicularity is maintained regardless of the amount of curvature with the restriking process.

• Tribology and Lubricants
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• 제15권3호
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• pp.257-264
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• 1999

Recently as electronics and semi-conductor industry develop, ultra-precision machine tools that use air-spindle with externally pressurized air bearing appear in need of ultra-precision products which demand high precision property. Effects of air compressibility absorbs the vibration of shaft, this is called averaging effect, however, the higher running accuracy is demanded by degrees, the more important factor is machining errors that affect running accuracy of shaft. Actually, it would be very important in the view points of running accuracy to understand effects of machining errors on the running accuracy of the spindle system quantitatively to design and manufacture precision spindle system in the aspect that efficiency in manufacturing spindle system and performance in operation. So fu, there are some researches on the effects that machining error affect running accuracy. However, because these researches deal with one bearing of spindle system, these results aren't enough to explain how much machining errors affect running accuracy in the typical spindle system overall. In this study, we investigate the effects of the perpendicularity error of bearing and shaft on running accuracy of spindle system that consists of journal and thrust bearing theoretically, and suggest design guideline about shape tolerances.

• 한국공작기계학회:학술대회논문집
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• 한국공작기계학회 2000년도 춘계학술대회논문집 - 한국공작기계학회
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• pp.75-81
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• 2000

This study for the roundness and perpendicularity of machining center is classified into two ways. One is the way that progresses the roundness amending the parameter of machining center based on the measured value after the measurement of the roundness of machaning center by means of a existing measuring device, another is the way that measures the roundness by remodeling the existing measuring device. the former is studied by pack hei jae team in Seoul university, the later is studied by TSUTSUMI. Especially TSUTSUMI measures the roundness according to circular compensation after the insertion of developed measuring device using a rotary encoder to the spindle of machining tool. we study how regulation velocity occuring with circular motion of machining center table influences the roundness after measuring the roundness using Circular Test method by a 2 dimention probe and a standard discus in this experiment.

• 한국정밀공학회지
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• 제10권2호
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• pp.54-65
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• 1993

The paper describes and alternative method based on a new idea to measure the circular movement of machining centers. ISO has employed three testing methods for the acceptance tests of machine tools; the first is a rotating one-dimensional probe method, the second is a two-dimensional probe and a master circular ring, and the third is a kinematic ball bar. The last two methods were proposed and introduced by W. Knapp and J. B. Bryan, respectively. The newly developed method is superior to above two methods; the rotating angle can be detected and the rotating radius is variable. Circular movement errors of machining centers were investigated by the analysis of data measured by R- .THETA. method. Followint observations are obtained 1) The errors which depend on positions, i.e., periodical errors by the pitch of ball screws, errors by compensation of backlash and errors by perpendicularity of X and Y-axis, were analyzed. 2) The errors which depend on NC control system, i.e., errors by the unbalance of position-loop-gaians, errors by velocity-loop-gains and errors by feed speeds, were quantiatively analyzed. 3) The method of extracting error information, which uses moving technique of averaging angle and fourier's analysis data mesured by the R- .THETA. method, was proposed.

• Tribology and Lubricants
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• 제7권1호
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• pp.35-39
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• 1991

The performance of the ultra-precision machine tools depends on the steady state characteristics of the main spindle bearings. For excluding the effect of machining error with perpendicularity, conical or spherical bearing has been used. In this paper, steady analysis of the externally pressurized conical gas bearing for ultraprecision is carried out based on the direct numerical method with assumption of point source. As a result of theoretical analysis, design parameters for optimal condition of conical gas bearing are' presented in dimensionless form.

• Tribology and Lubricants
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• 제8권1호
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• pp.78-83
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• 1992

For excluding the effect of machining error such as perpendicularity, conical and spherical bearing has been used. In this paper, dynamic characteristics of the externally pressurized conical gas bearing for untraprecision main spindle is carried out based on the direct numerical method with assumption of point source. As a result of theoretical analysis, it is verified that coupled stiffness and damping exist and new design parameters for optimal condition of conical gas bearing are presented in dimensionless form.

• 한국산학기술학회논문지
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• 제12권2호
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• pp.605-610
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• 2011

간척지나 해안지역과 같은 연약지반에 건축 및 토목공사를 위해서는 지반의 강도를 높이기 위한 연약지반개량공사가 필수적이다. 연약지반 개량 공법은 여러 가지가 있으나 우리나라를 비롯해 세계적으로 연직배수공법을 주로 사용하고 있다. 연직배수공법은 연약한 점성토 지반 내에 인공적으로 연직 배수재를 다수 설치하여 배수거리를 단축시킴으로써 압밀을 촉진시키고, 그에 따른 강도증가 효과를 얻을 수 있는 공법이다. 연직배수재로는 경제성과 시공성이 우수한 PBD가 널리 사용되고 있다. PBD 시공품질은 시공 깊이, 압력, 수직도 등에 영향을 받게 된다. 본 논문에서는 PBD 시공시 배수재의 시공 심도, 압력, 수직도를 자동측정하여 작업자가 실시간으로 모니터링 할 수 있고 시공결과를 자동 저장하는 시스템을 개발하였다. 개발된 시스템은 시공 불량 요인이 발생시 자동 경고하여 불량률을 줄일 수 있고, 장비의 이상 발생시 자동 제어시스템을 가동하여 작업의 안전성을 확보하도록 하였다.