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Conical Path Generation Technique for Ball Bar Measurement Using Simultaneous 5-Axis Motion Control

5 축 동시 구동을 통한 볼바 측정용 원추형 경로 생성 방법

  • Lee, Dong-Mok (Institute of Mechanical Engineering Technology, Kyungpook Nat'l Univ.) ;
  • Lee, Jae-Chang (School of Mechanical Engineering, Kyungpook Nat'l Univ.) ;
  • Yang, Seung-Han (School of Mechanical Engineering, Kyungpook Nat'l Univ.)
  • Received : 2012.06.26
  • Accepted : 2012.09.12
  • Published : 2013.01.01

Abstract

This study proposes a path generation technique for simultaneous five-axis driving for ball bar measurement, which is equivalent to cone frustum machining as mentioned in the NAS979 standard. The technique is generalized for a 3D circular path, and it is applicable to all machine tools regardless of their structural configurations. A mathematical machine input model that consists of a five-axis machine tool, ball-bar measurement and conical path information as inputs is presented for easy NC code generation, simulation for various test conditions, and a measurement test. The movement range of rotary axes, which depends on various conditions, is mathematically analyzed based on the proposed conical path model. Moreover, the effect of the movement range on various conditions (apex angle and inclination angle, ball bar tilting acceptance angle, offset position of workpiece ball, etc.) is analyzed.

본 연구는 원추대 가공과 등가인 동시 5 축 구동을 통한 볼바 측정용 경로 생성 기법을 소개하며 시스템 구조 형태(Structural configuration)에 관계없이 모든 5 축 공작기계에 대해 적용 가능한 일반화된 방법을 제시한다. 5 축 공작기계 시스템 정보와 원추형 정보, 그리고 볼바 측정 정보 등을 입력 받아 NC 코드 생성, 다양한 오차 평가 시뮬레이션 및 측정 시험을 쉽게 수행할 수 있도록 원호 경로 생성에 필요한 수학적 기계 입력 모델을 제시한다. 또한 제시된 원추형 경로 모델을 토대로 5 축 동시 구동 시 회전축의 이송 범위를 수학적으로 검토하며 반꼭지각 및 기울기각의 크기 차이, 볼바 틸팅 허용각 및 워크피스 볼의 오프셋 위치 등 여러 가지 조건이 이송 범위에 미치는 영향에 대해 분석한다.

Keywords

References

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  1. Development and Experimental Verification of an Error Compensation Model for a Five-axis Machine Tool using an Error Matrix vol.30, pp.5, 2013, https://doi.org/10.7736/KSPE.2013.30.5.507