5축 가공의 특이영역에서 공구궤적 오차 = Part I: 궤적오차 모델링

다국어 초록 (Multilingual Abstract)

This paper proposes an analytical method of evaluating the maximum error by modeling the exact tool path for the tool traverse singular region in five-axis machining. It is known that the NC data from the inverse kinematics transformation of 5-axis machining can generate singular positions where incoherent movements of the rotary axes can appear. These lead to unexpected errors and abrupt operations, resulting in scoring on the machined surface. To resolve this problem, previous methods have calculated several tool positions during a singular operation, using inverse kinematics equations to predict tool trajectory and approximate the maximum error. This type of numerical approach, configuring the tool trajectory, requires much computation time to obtain a sufficient number of tool positions in a region. We have derived an analytical equation for the tool trajectory in a singular area by modeling the tool operation into a linear and a nonlinear part that is a general form of the tool trajectory in the singular area and that is suitable for all types of five-axis machine tools. In addition, we have evaluated the maximum tool-path error exactly, using our analytical model. Our algorithm can be used to modify NC data, making the operation smoother and bringing any errors to within tolerance.

목차 (Table of Contents)

• ABSTRACT
• 1. 서론
• 2. 특이 영역
• 3. 특이영역에서의 공구 궤적
• 4. 특이영역에서 최대오차 계산
• 5. 적용 예 및 결과
• 6. 결론
• 참고문헌

참고문헌 (Reference)

1 Wei, E. J., "Study on General Analytical Method for CNC Machining the Freefrom Surfaces" 168 : 408-413, 2005

2 Makhanov, S. S., "On the Tool-path Optimization of a Milling Robot" 43 : 455-472, 2002

3 Jung, Y. H., "NC Post-processor for 5-axis Milling Machine of Table-rotating/tilting Type" 103 : 641-646, 2002

4 Ho, M. C., "Machine Codes Modification Algorithm for Five-axis Machining" 142 : 452-460, 2003

5 Tsutsumi, M., "Identification of Angular and Positional Deviations Inherent to 5-axis Machining Centers with a Tilting-rotary Table by Simultaneous Four-axis Control Movements" 44 : 1333-1342, 2004

6 Ho, M. C., "Fiveaxis Tool Orientation Smoothing Using Quaternion Interpolation Algorithm" 43 : 1259-1267, 2003

7 Hwang, Y. R., "Cutting Error Analysis for Table-Tilting Type Four-Axis NC Machines" 16 : 265-270, 2000

8 Zeid, "CAD/CAM Theory and Practice" McGraw-Hill 1991

9 Affouard, A., "Avoiding 5-axis Singularities Using Tool Path Deformation" 44 : 415-425, 2004

10 Bohez, E., "Adaptive Nonlinear Tool Path Optimization for Five-axis Machining" 38 (38): 4329-4343, 2000