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中文摘要：
采用计算刀具空间包围体和刀具旋转体的方法来对仿真过程中的有效切削计算进行判断，刀具在一般运动情况下所占空间包围体的计算公式可由刀具的长度、半径以及刀具在任意时刻的刀位点、刀轴矢量来共同推导；刀具的旋转体范围可以通过刀具在当前时刻的刀轴矢量、母线方程以及刀具的半径、长度进行计算。该方法已经成功应用到基于OpenGL的VC6．0环境下所开发的五轴数控仿真系统中，实验结果表明，该方法能够提高有效切削率和减少切削计算耗时。
英文摘要：
The calculation of tool＇s space bounding volume and revolving solid will be used in the process of simulation calculation to determine the effective cutting. The formula of occupied space bounding volume that tool in the general movement is derived with tool＇s length, radius, and tool＇s cutter location at any time, tool axis vector. The scope of the tool＇s revolving solid is determined by the current tool axis vector, bus equation, and tool＇s length, radius. This method is successfully applied in the developed five-axis NC simulation system based on OpenGL in the environment of VC6.0, and experiment show that this method can improve the effective cuttin rate and reduce the computation time of cutting.
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