| 引用本文: | 孙海洋,范大鹏,李玲.一种参数曲线实时数控插补计算新方法.[J].国防科技大学学报,2008,30(3):122-127.[点击复制] |
| SUN Haiyang,FAN Dapeng,LI Ling.A Novel Method for Real-time CNC Curved Path Interpolation Calculating[J].Journal of National University of Defense Technology,2008,30(3):122-127[点击复制] |
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| 一种参数曲线实时数控插补计算新方法 |
| 孙海洋, 范大鹏, 李玲 |
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(国防科技大学 机电工程与自动化学院，湖南 长沙 410073)
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| 摘要: |
| 根据参数曲线数控插补原理，指出了Taylor展开算法、“参数－弧长”分段拟合算法等常用的参数曲线直接插补算法存在理论上的局限性。给出了一种新的基于牛顿迭代计算的参数曲线直接插补方法，并给出了算法流程。新算法稳定性好、收敛速度快、运算量小、计算结果精度高。仿真实验表明，同Taylor展开法相比，能够在计算量相当或增加不大的情况下将插补进给速度波动率减小102～107倍。 |
| 关键词: 数控加工 参数曲线 实时插补 进给速度波动 牛顿迭代法 |
| DOI： |
| 投稿日期：2007-10-25 |
| 基金项目:湖南省自然科学基金资助项目(05JJ30109) |
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| A Novel Method for Real-time CNC Curved Path Interpolation Calculating |
| SUN Haiyang, FAN Dapeng, LI Ling |
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(College of Mechatronics Engineering and Automation, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Based on the principle of parametric curve paths CNC interpolating, it is pointed out that the Taylor series methods and “Parameter-Arc-length” curve fitting methods for CNC curved path interpolation are not perfect in theory. Thus a novel curved path interpolation method is proposed with Newton iteration functions. The detailed realization of the proposed algorithm has also been given. It has many advanced features, such as good stability, fast convergence, low computational effort and high precision. Simulations and experimentations show that the proposed algorithm can reduce the feedrate fluctuation by 102-107times with equal or little more computational effort comparing with Taylor series methods. |
| Keywords: CNC machining parametric curves real-time interpolation feedrate fluctuation Newton iteration method |
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