• 한국CDE학회논문집
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• 제8권4호
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• pp.278-288
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• 2003

Presented in this paper is a numerical method for calculating the intersection points between Z-map vectors and the tool swept surface for circularly moving filleted-end mills. In numerically controlled(NC) machining simulation for large moulds and dies, a workpiece is frequently approximated as a set of z-axis aligned vectors, called Z-map vectors, and then the machining processes can be simulated through updating the Z-map with the intersection points. Circular motions are typically used for machining the free-form surfaces. For fast computation, we express each of intersection points with a single-variable non-linear equation and calculate the candidate interval in which the unique solution exists. Then, we prove the existence of a solution and its uniqueness in this candidate interval. Based on these properties, we can effectively apply numerical methods to finally calculate the solution of the nonlinear equation within a given precision. Experimental results are given for the case of a TV monitor and the hood of a car.

• 대한기계학회논문집A
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• 제26권9호
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• pp.1814-1821
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• 2002

NC cutting simulation is an important factor in the development of products. The geometric modelling of cutter swept surface should be done in NC cutting simulation. A part of cutter swept surface is a ruled surface blended with silhouette curve and cutter path. Finding an intersection point between cutter swept surface and a line is one of major problems in Z-map based cutting simulation. In this paper, cutter swept surface is defined parametrically and it's intersection point with Z-map is found in an exact form. Triangular grid Z-map based 3-axis NC cutting simulation is performed.

• 한국CDE학회논문집
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• 제7권4호
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• pp.219-232
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• 2002

In numerically controlled(NC) machining simulation, a Z-map has been used frequently for representing a workpiece. Since the Z-map is usually represented by a set of Z-axis aligned vectors, the machining process can be simulated through calculating the intersection points between the vectors and the surface swept by a machining tool. In this paper, we present an efficient method to calculate those intersection points when an APT-type tool moves along a linear tool path. Each of the intersection points can be expressed as the solution of a system of non-linear equations. We transform this system of equations into a single-variable equation, and calculate the candidate interval in which the unique solution exists. We prove the existence of a solution and its uniqueness in this candidate interval. Based on these characteristics, we can effectively apply numerical methods to finally calculate the solution of the non-linear equations within a given precision. The whole process of NC simulation can be achieved by updating the Z-map properly. Our method can provide more accurate results with a little more processing time, in comparison with the previous closed-form solution.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집C
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• pp.235-239
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• 2001

Finding intersection point between a surface and a line is one of major problem in CAD/CAM. The intersection point could be found in an exact form or with numerical method. In this paper, the exact solution of the intersection point between a ruled surface which is generated by the movement of an endmill and the z-direction vector is presented. The cutter swept surface which is a ruled surface and the Z-direction vector are represented with parametric equations. With the nature of parametric equations, the geometric properties at the intersection point are easily acquired.

• 한국수학사학회지
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• 제15권2호
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• pp.161-168
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• 2002

We show that if the Stone-Cech compactification of $\textit{AX}$ and the minimal basically disconnected cove. of $\beta$Χ we homeomorphic and every real $\sigma$$Z(X)^#$-ultrafilter on X has the countable intersection property, then there is a covering map from $\nu$(ΛΧ) to $\nu$Χ and every real $\sigma$$Z(X)^#$-ultrafilter on Χ has the countable intersection property if and only if there is a homeomorphism from the Hewitt realcompactification of ΛΧ to the minimal basically disconnected space of $\nu$Χ.

• 한국생산제조학회지
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• 제9권5호
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• pp.58-64
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• 2000

This paper proposes a method for determining optimal EDM parameters based on discharge area from the physical model of a tool electrode. Main parameters, which affect the EDM performance, are peak value of currents, pulse-on time, and pulse-off time. Such parameters are closely dependent on the discharge area in EDM process. In this paper the discharge area is estimated from the CMM scanning data to the tool electrode. The method is very useful when any geometric information to the tool electrode is not provided from tool modeler or producer. The method consists of following four steps. First a triangulation mesh is constructed from the CMM data. Secondly, the z-map is modeled from the triangulated mesh. Thirdly, the discharge area is estimated from intersection between the z-map model and a z-height plane. Finally, the machining parameters are easily calculated by some known EDM equations to the discharge area. An example is introduced to show that the machining parameters are calculated from the CMM data to a tool electrode.

• 충청수학회지
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• 제26권1호
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• pp.221-229
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• 2013

We show that if X is a space such that ${\beta}QF(X)=QF({\beta}X)$ and each stable $Z(X)^{\sharp}$-ultrafilter has the countable intersection property, then there is a homeomorphism $h_X:vQF(X){\rightarrow}QF(vX)$ with $r_X={\Phi}_{vX}{\circ}h_X$. Moreover, if ${\beta}QF(X)=QF({\beta}X)$ and $vE(X)=E(vX)$ or $v{\Lambda}(X)={\Lambda}(vX)$, then $vQF(X)=QF(vX)$.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1997년도 춘계학술대회 논문집
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• pp.782-787
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• 1997

This paper proposes methods for pencil machining and uncut area machining. Based on Z-map represented by triangular facets, self-intersection-free offset surface is generated with K-offset method in case of ball mill and flat mill Pencil machining can elliminate overload area before main machining rough, semi-finish and finish cutting,preventing fluctuations of cutting forces in concave regions form causing bad machining condition. Low productivity is caused by uncut area which has excessive or irreguar finishing allowance. Uncut area machining has the finishing allowance keep uniformly on part surface. This paper deals with two types of uncaut area, machining detection of excessive area and user-defined area.

• 대한원격탐사학회지
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• 제33권5_1호
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• pp.469-480
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• 2017

본 연구는 기상청에서 지진의 계기관측이 시작된 1978년부터 2016년까지, 규모 2.0~2.5사이의 소규모 지진이 6회 발생한 경상남도 거창군 일원지역을 대상으로 수치표고모델을 이용한 3차원의 LANDSAT 8호 위성영상과 음영기복도로부터 선구조선을 추출하여 선구조선과 진앙(지진발생위치)간의 상관관계를 분석하였다. 선구조선의 통계분석 방법으로는 직각격자에 의한 단절현상 문제점을 완화하고 선구조선의 공간적 분포를 정확히 표현해줄 수 있는 육각격자 모양과, 격자크기에 따라 변화하는 밀도 값이 안정되는 지점의 격자크기를 사용하여 핫스팟 분석을 수행하였다. 핫스팟 분석방법은 선구조선이 집단화되어 나타나는 지역을 통계적으로 파악할 수 있기 때문에, 선구조선의 각 통계요소별(빈도, 교차점, 길이)로 도출되는 Z score를 통해 선구조선 밀집지역을 확인하였다. 또한 연산된 선구조선의 밀도와 진앙간의 상관성을 분석하기 위해 진앙에서의 Z score를 표준정규분포 상에 나타내어 선구조선의 밀도가 통계적으로 의미 있는 수준인지를 확인하였다. 그 결과, 6개의 진앙에서 3개 종류의 통계요소로 기록된 총 18개의 Z score 중 약 83%에 달하는 15개 값이 1.65 이상으로 나타났다. 이는 표준정규분포 상에서 95% 이상의 높은 밀도 값을 의미하여, 진앙이 선구조선 고밀도지역에 위치함을 알 수 있었다. 특히 선구조선 빈도는 모든 진앙에서, 교차점은 하나의 진앙을 제외한 나머지 진앙에서 밀도 값이 표준정규분포 상 95% 이상을 나타내어, 선구조선의 빈도와 교차점 밀도가 진앙과 높은 상관성이 있음을 확인하였다. 선구조선의 밀도 분포를 정확하게 표현하고, 진앙과의 상관관계를 분석한 본 연구는 잠재적인 지진발생 위험 지역을 추출하기 위한 기초연구로써 의미가 있다. 그러나 상기와 같은 결과를 조금 더 명확하게 하기 위해서는 지진의 발생빈도가 많고 더 광역적인 지역을 대상으로 한 추가적 연구의 필요성이 있다고 사료된다.