• 论文 •    

复杂参数曲面刀具轨迹铺放算法

李万军,赵东标,牛敏   

  1. 1.南京航空航天大学 机电学院,江苏南京210016;2.山东工业职业学院 机电工程系,山东淄博256414
  • 出版日期:2010-05-15 发布日期:2010-05-25

Tool path placement algorithm for complex parametric surface

LI Wan-jun , ZHAO Dong-biao, NIU Min   

  1. 1.College of Mechanical & Electrical Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China; 2.Department of Mechanical & Engineering, Shandong Vocational College of Industry, Zibo 256414, China
  • Online:2010-05-15 Published:2010-05-25

摘要: 结合空间填充曲线法与等残留高度法的优点,提出了一种新的刀具轨迹铺放算法。对u和v方向的等残留高度路径进行叠加求交,用参数变量代替笛卡尔坐标进行自由曲线求交,速度远高于包络面求交法。将每相邻的四个交点作为一个路径回路,通过综合条件判断回路合并方向,使得合并过程满足哈米尔顿回路要求,最终合并得到的哈密尔顿回路即为刀具路径。该方法能够生成近似最短并且连续的刀具轨迹,缩短了自由曲面加工的时间。通过实例验证了该方法的有效性。

关键词: 空间填充曲线, 等残留高度, 刀具轨迹, 回路, 数控系统

Abstract: A new tool path placement algorithm for five-axis machining was proposed based on the adaptive space filling curves algorithm and the constant scallop-height algorithm. The initial circuits were constructed by overlaying two constant scallop-height tool paths of u and v directions. Instead of Cartesian coordinates, parameter variable was used to compute the vertices so as to greatly improve the calculation speed. The adjacent four intersections were taken as a circuit. Merging direction of circuits were judeged by the overall conditions, which made merging process satisfy the condition of hamiltonian circuit. Then, the final Hamiltonian circuit was considered as tool path. The proposed algorithm could get the approximate shortest and continuous tool path, and it also decreased the machining time of free surface. Finally, the effectiveness of this method was verified by a case study.

Key words: space filling curve, constant scallop-height, tool path, circuits, numerical control systems

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