摘要
为了简洁有效的解决NURBS及其偏移曲线的插补问题,本文提出了新的插补方法即参数跟踪法。首先提出了面向曲线插补的参数跟踪法并阐述其原理和计算过程;其次以NURBS曲线插补实例证明了插补方法的有效性;再次,将插补方法应用到NURBS曲线的刀具补偿计算中,包括恒定刀具补偿和线性刀具补偿;最后将插补方法与线性刀具补偿和坐标补偿相结合,提高了NURBS曲线在不同加工条件下的插补精度。参数跟踪法应用于NURBS曲线插补计算过程简洁,并易于程序化,在刀具补偿计算中可以直接应用曲线的一阶导矢,计算增量小。提出的面向插补结果的坐标消结法可用于消除NURBS曲线的自相交部分。
In order to solve the interpolation of NURBS and its offset curve concisely and effectively, the new interpolation method,parameter tracking method is proposed. Firstly, the parameter-tracking method for curve interpolation is proposed and its principle and calculation process are explained. Secondly, the effectiveness of the interpolation method is proved by an example of NURBS curve interpolation. Thirdly, the interpolation method is applied to the tool compensation calculation of NURBS curve, including constant tool compensation and linear tool compensation. Finally, the interpolation method is combined with the linear tool compensation and coordinate compensation to improve the interpolation accuracy of the NURBS curve under different machining conditions. The parameter-tracking method applied to the NURBS curve interpolation calculation process is simple and easy to program. In the tool compensation calculation, the first-order derivative of the curve can be directly applied, and the calculation increment is small. The present coordinate elimination method for interpolation results can be used to eliminate the self-intersecting part of the NURBS curve.
作者
马虎亮
王燕青
杨胜强
吕明
MA Huliang;WANG Yanqing;YANG Shengqiang;LYU Ming(College of Mechanical and Vehicle Engineering,Taiyuan University of Technology,Taiyuan 030024,China)
出处
《机械科学与技术》
CSCD
北大核心
2022年第3期433-438,共6页
Mechanical Science and Technology for Aerospace Engineering
基金
山西省重点研发计划项目(201903D121048)。
关键词
NURBS曲线
参数跟踪法
恒定刀具补偿
线性刀具补偿
坐标补偿
NURBS curve
parameter-tracking method
constant tool compensation
linear tool compensation
coordinate compensation
