Accurate Acceleration/Deceleration Control for Curve Machining
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摘要: 数控系统加工曲线轨迹的实质是以连续的直线段逼近曲线轨迹,所以加工轨迹的实际长度不等于曲线轨迹的理论长度。针对此问题,提出了一种利用二分法的基本思想求解加工轨迹的实际长度,从而实现精确加减速控制的算法。仿真结果表明:采用所提算法能够实现插补终点与曲线轨迹终点重合,并且能够实现理论加减速曲线与实际加减速曲线一致,从而有利于保证加工质量和机床的动态性能。Abstract: In curve machining, the curve trajectory was approached by the continuous small straight line segments. Then, the theoretic trajectory length was not exactly equal to the actual machining length. Therefore, a new algorithm was proposed to solve the problem, which realized the accurate acceleration-deceleration control for the curve machining by adjusting the actual machining length via dichotomy. The simulation result of a practical example demonstrates that the present algorithm can make the interpolation terminal point match up to the curve trajectory terminal point and do the theoretic acceleration/deceleration velocity profile consist with the actual acceleration/deceleration velocity profile. The present algorithm can improve the machining precision of curve trajectory and ameliorate the dynamic performance.
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Key words:
- acceleration/deceleration control /
- algorithms /
- computer simulation
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[1] 李恩林.数控技术原理及应用[M].北京:国防工业出版社,2006:15-25 Li A L. Theory and application of numerical control technique[M]. Beijing:National Defense Press,2006 (in Chinese) [2] 刘放,汪鎏,胡俊,等.基于四元数的空间圆弧插补算法[J].机械科学与技术,2009,28(11):1425-1428 Liu F, Wang L, Hu J. A new spatial arc interpolation method using quatern ion interpolation algor ithm[J]. Mechanical Science and Technology for Aerospace Engineering,2009,28(11):1425-1428 (in Chinese) [3] Hu J, Xiao L J, Wang Y H, et al. An optimal feedrate model and solution algorithm for high-speed machine of small line blocks with look-ahead[J]. International Journal of Advanced Manufacturing,2006,28(9):930-935 [4] 浦艳敏.关于数控系统加减速控制的研究[J].科学技术与工程,2009,9(22):6782-6785 Pu Y M. Study on the acceleration/deceleration algorithm of CNC system[J]. Science Technology and Engineering,2009,9(22):6782-6785 (in Chinese) [5] Suh S H, Kang S K, Chung D H, et al. Theory and design of CNC systems[M]. British:Springer Series in Advanced Manufacturing,2008:75-80 [6] Shi C, Ye P Q. The look-ahead function-based interpolation algorithm for continuous micro-line trajectory[J]. International Journal of Advanced Manufacturing,2011,37(9):649-668 [7] 王世勇,李迪.基于过渡模型的连续小线段前瞻插补[J].科学技术工程,2010,10(3):704-710 Wang S Y, Li D. Look-ahead interpolation of continuous small lines contour based on transition patterns[J]. Science Technology and Engineering,2010,10(3):704-710 (in Chinese) [8] 余飚,陈统坚.双DDA圆弧插补公式误差分析[J].华南理工大学学报,1994,22(4):97-104 Yu B; Chen T J. Error anylasis of twin DDA algorithm for arc interpolation[J]. Journal of South China University of Technology,1994,22(4):97-104 (in Chinese) [9] 滕皓.一种数据采样法圆弧插补误差的分析[J].机械工程师,2009,(8):36-37 Teng H. Analysis on an error of data sampling circular interpolation[J]. Mechanical Engineer,2009,(8):36-37 (in Chinese) [10] 王敏.圆弧插补的两种算法及五种终点判断方法的比较研究[J].组合机床与自动化加工技术,1996,(3):5-10 Wang M. Research on comparation between 2 algorithms of arc interpolation & 5 methods of end-point discrimination[J]. Modular Machine Tool & Automatic Manufacturing Technique,1996,(3):5-10 (in Chinese) [11] 林本杰,石川,张辉,等.圆弧插补终点判断方法研究[J].制造技术与机床,2007,(6):86-90 Lin B J, Shi C, Zhang H, et al. Study on end-point discrimination methods of circular interpolation [J]. Manufacturing Technology & Machine Tool,2007(6):86-90 (in Chinese) [12] Wang S Y, Li D. High-speed and high-accuracy schemes of coordinate calculation and end point judgment for elliptic interpolation[J]. Applied Mechanics and Materials,2012,217:2664-2668 [13] Xu Z M, Feng Z J, Wang Y S, et al. High-speed adaptive look-ahead interpolation algorithm for continuous micro path sections[J]. Manufacturing Technology and Machine Tool,2003,53(12):20-23
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