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中文摘要：
刀具半径补偿技术是CNC系统的关键技术之一，是加工轨迹插补运算的数据来源与依据。根据编程轨迹及刀具半径值规划出刀具中心的运动轨迹，尤其是轨迹转接点坐标值，是保证零件轮廓正确性的必要前提。引入方向矢量的概念，研究矢量法在刀具半径补偿技术中的应用，实现了C功能刀具半径补偿，很好地解决了二维刀补中唯一解的确定这一复杂难题。该算法已经应用于自主研发的TDNC-L4数控铣削系统和数控车削系统，初步实现了该理论成果的实例化验证。
英文摘要：
Cutter radius compensation is the key technology in CNC system and is the data sources and basis of contour interpolation.It is the necessary premise to guarantee the part contour according to programming track and cutter radius to plan the tool center path, especially the coordinates of the joint points.The concept of orientation vector is introduced and the technology is studied,which the vector method is applied in radius compensation.The C cutter radius compensation is realized and the complicated problem of confirming the only result in 2D cutter radius compensation is solved.Based on the foregoing algorithm, the CNC system for mill and lathe named TDNC-L4 is developed, which presents a preliminary practical verification of relevant theoretical achievements.
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