• 한국공작기계학회논문집
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• 제12권2호
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• pp.44-52
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• 2003

This research suggests a cutting force model for the ball end milling processes. This model includes the effect of tool run out and tool deflection. In the proposed model, the flutes of ball end mills are considered as series of infinitesimal elements and each cutting edge is assumed to be straight for the analysis of the oblique cutting process, in which the small cutting edge element has been analyzed as an orthogonal cutting process n the plane including the cutting velocity and the chip-flow vector. Therefor, the cutting forces can be calculated through the model using the orthogonal cutting data obtained from the orthogonal cutting test. In order to enhance the performance of the model, the flutes of ball end mill are defined to keep geometric consistency at the peak of the ball part and the junction with the end mill part. The divided infinitesimal cutting edges are regulated to be even lengths. Some experiments show the validity of the developed model in the various cutting coalitions.

• 한국정밀공학회지
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• 제14권3호
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• pp.57-65
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• 1997

In this study, a cutting force in the Ball-end milling process is calculated using Z-map. Z-map can describe any type of cutting area resulting from the previous cutting geometry and cutting condition. Cutting edge of a ball-end mill is divided into infinitesimal cutting edge elements and the position of the ele- ment is projected to the cutter plane normal to the Z axis. Also the cutting area in the cutter plane is obtained by using the Z-map. Comparing this projected position with cutting area, it can be determined whether it engages in the cutting. The cutting force can be calculated by numerical integration of cutting force acting on the engaged cutting edge elements. A series of experiments such as contouring and upward/downward ramp cutting was performed to verify the calculated cutting force.

• 대한기계학회논문집
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• 제13권3호
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• pp.433-442
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• 1989

본 연구에서는 볼 엔드 밀 절삭실험을 통하지 않고 일반적인 선삭가공 등에서 쉽게 구할 수 있는 2차원 절삭 데이터를 이용하여 볼 엔드 밀의 기하학적 형상 및 절삭조건이 주어졌을 때 모든 볼 엔드 밀 가공에서의 절삭기구를 해석하고 절삭력 모델을 구하고자 한다. 이를 위하여 볼 엔드 밀의 기하학적 특성 및 절삭 조건 등을 분석하고, 미소절삭날터를 이용한 3차원 절삭해석방법을 적용하여 미소 절삭력을 구하고 이들의 합력으로서 절삭력을 계산한다.