| 复杂曲面笔式加工的直接插补算法 |
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| 引用本文： | 孟书云,赵东标.复杂曲面笔式加工的直接插补算法[J].东南大学学报,2006,22(1):73-77. |
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| 作者姓名： | 孟书云 赵东标 |
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| 作者单位： | 南京航空航天大学机电学院 南京210016 |
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| 基金项目： | The Natural Science Foundation of Jiangsu Province （ No. BK2003005）. |
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| 摘 要： | 针对复杂曲面笔式加工时位于曲面上的空间曲线型刀具轨迹,给出一种直接插补算法.即对以投影方式形成的位于曲面上的空间曲线形式的刀轨,根据导动曲线和刀触点轨迹线之间的几何运动关系,通过泰勒展开近似得到刀触点轨迹线上插补点所对应的导动线的参数,再反求间接得到刀触点坐标,从而生成控制机床运动的指令.该方法的实现扩充了CNC系统的轨迹控制功能,提高了复杂曲面的加工效率.仿真结果表明算法可行而且有效.该算法也可以应用到整体曲面加工中.
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| 关 键 词： | 复杂曲面 笔式加工 直接插补 |
| 收稿时间： | 06 6 2005 12:00AM |
Direct interpolation algorithm for pen-cutting of sculptured surfaces |
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| Meng Shuyun,Zhao Dongbiao.Direct interpolation algorithm for pen-cutting of sculptured surfaces[J].Journal of Southeast University(English Edition),2006,22(1):73-77. |
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| Authors: | Meng Shuyun Zhao Dongbiao |
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| Institution: | College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | A direct interpolation algorithm for spatial curves on a surface is proposed for pen-cutting of sculptured surfaces.The algorithm can carry out the direct interpolation for projective curves lying on the sculptured surface.It is based on the geometric and kinetic relationships between drive curves and cutter-contact (C-C) curves.It evaluates the parameter of drive curves corresponding to interpolation points by the Taylor formula.Then it gains coordinates of interpolation points indirectly by inverse calculation.Finally, it generates the motion commands for machine tool controller.This method extends the locus-controlled function in the computer numerical control (CNC) system effectively and improves the efficiency for the numerical control (NC) machining of sculptured surfaces.The simulation shows that the proposed algorithm is feasible and practical.This algorithm can also be applied to the machining of the whole surface. |
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| Keywords: | sculptured surface pen-cutting direct interpolation |
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