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10^2～10^7倍。
Based on the principle of parametric curve paths CNC interpolating, it is painted out that the Taylor series methods and ＂Parameter- Arc-length＂ curve fitting methods for CNC curved path interpolation am 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 propesed algorithm can reduce the feedrate fluctuation by 102-107 times with equal or little more computational effort comparing with Taylor series methods.
出处
《国防科技大学学报》
EI
CAS
CSCD
北大核心
2008年第3期122-127,共6页
Journal of National University of Defense Technology
基金
湖南省自然科学基金资助项目(05JJ30109)
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
CNC machining
parametric curves
real-time interpolation
feedrate fluctuation
Newton iteration method
