Volume 35 Issue 9
Sep.  2009
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Wang Qikui, Li Wei, Chen Youdong, et al. Application of PH curve in CNC look-ahead function[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(9): 1052-1056. (in Chinese)
Citation: Wang Qikui, Li Wei, Chen Youdong, et al. Application of PH curve in CNC look-ahead function[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(9): 1052-1056. (in Chinese)

Application of PH curve in CNC look-ahead function

  • Received Date: 08 Sep 2009
  • Publish Date: 30 Sep 2009
  • A new method was developed to smooth the micro-line while machining in computer numerical control systems. Four rules including angle between transfer vectors with speed limitation, length and angle between the micro-lines with accuracy limitation and the monotonicity of the point were proposed to divide segments into some areas. Nonlinear least squares method was introduced to fit the lines into PH curves. Simulated annealing algorithm was used to adjust the tangent vector for getting better accuracy. The model of adjustment included both unidirectional and bidirectional adjustments by the situation of the point between the areas. Straight slope was considered as the initial value of the tangent vector in the simulated annealing algorithm. Chord error was computed by segmenting the micro-line, the error was the objective function to determine the adjustment of the vector. The results illustrate the dividing rules improve the fitting efficiency. Smooth curves with high accuracy were obtained to get better velocity profile.

     

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  • [1]Yeh Syhshiuh, Su Shinchun.Design of NURBS curve fitting process on CNC machines[C] Proceedings of the 2007 American Control Conference.Piscataway,NJ:IEEE Press,2007:3612-3617 [2]Yau Hongtzong, Wang Junbin.Fast Bezier interpolator with real time lookahead function for high accuracy machining[J]. International Journal of Machine Tools & Manufacture,2007,47(10):1518-1529 [3]Tsai Yifeng.Real time CNC interpolators for precision machining of complex shapes with Pythagorean hodograph curves[D].Michigan:Department of Mechanical Engineering,University of Michigan,2000 [4]叶佩青,赵慎良.微小直线段的连续插补控制算法研究[J].中国机械工程,2004,15(15):1354-1356  Ye Peiqing,Zhao Shenliang.Study on control algorithm for micro line continuous interpolation[J].China Mechanical Engineering,2004,15(15):1354-1356(in Chinese) [5]王宇晗,肖凌剑,曾水生,等.小线段高速加工速度衔接数学模型[J].上海交通大学学报,2004,38(6):901-904  Wang Yuhan, Xiao Lingjian, Zeng Shuisheng, et al. An optimal feedrate model and solution for highspeed machining of small line blocks with lookahead[J]. Journal of Shanghai Jiaotong University,2004,38(6):901-904(in Chinese) [6]徐志明,冯正进,汪永生,等.连续微小路径段的高速自适应前瞻插补算法[J].制造技术与机床,2003(12):20-23 Xu Zhiming, Feng Zhengjin,Wang Yongsheng, et al. Highspeed adaptative lookahead interpolation algorithm for continuous micro path sections[J]. Manufacturing Technology and Machine Tool,2003(12):20-23(in Chinese) [7]许海峰,王宇晗,李宇昊,等.小线段高速加工的速度模型研究和实现[J].机械工程师,2005(4):9-13 Xu Haifeng,Wang Yuhan,Li Yuhao,et al. Research on feedrate model of lookahead and solution algorithm for highspeed machining of small line segments[J]. Mechanical Engineer,2005(4):9-13(in Chinese) [8]游有鹏,王珉,朱剑英.NURBS 曲线高速高精度加工的插补控制[J].计算机辅助设计与图形学学报,2001,13(10):943-947 You Youpeng,Wang Min,Zhu Jianying.An interpolator for NURBS curve machining with highspeed and high accuracy[J]. Journal of Computeraided Design & Computer Graphics,2001,13(10):943-947(in Chinese) [9]刘国龙,王文仲.G1连续三次PH曲线光顺判定[J].指挥技术学院学报,2002,11(2):90-94 Liu Guolong,Wang Wenzhong. Smoothness of G1 PH interpolating cubic[J].Journal of Institute of Command and Technology,2002,11(2):90-94(in Chinese)
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