基于差分插补原理的数控系统加减速规划
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摘要
为了实现基于差分插补原理的数控系统加减速控制,以直线与圆锥曲线为研究对象,对差分插补运动进行研究。通过分析差分插补中基准轴与非基准轴的运动特点,制定详细的加减速控制策略。对圆锥曲线进行分区处理后,实现了差分插补加减速控制策略的统一。通过译码获得的速度参数能够应用到多种加减速模型中,实现准确地起停电机,保证插补加工位置的准确性。加工实验结果表明:差分插补加减速控制策略实现了数控系统的加减速功能,为保证数控系统的加工效率与质量、适应现代化生产加工要求奠定了基础。
In order to realize the acceleration/deceleration control of CNC based on differential interpolation principle, the differential interpolation movement was studied by the line and conical curve. The detailed acceleration/deceleration control strategies were formulated by analyzing the motion characteristics of the basic axis and non basic axis in differential interpolation theory. Through the segmentation of conic curve, the unification of acceleration/deceleration control strategy was realized. The speed parameters obtained by the decoding could be applied to a variety of acceleration/deceleration models, and the accurate start/stop motor could ensure the correctness of the interpolation position. The machining experimental results show that the acceleration/deceleration control strategy can be used to realize acceleration/deceleration function of the CNC system. It is a good foundation for guaranteeing the machining efficiency and quality of NC system and meeting the requirements of modern production and processing.
In order to realize the acceleration/deceleration control of CNC based on differential interpolation principle, the differential interpolation movement was studied by the line and conical curve. The detailed acceleration/deceleration control strategies were formulated by analyzing the motion characteristics of the basic axis and non basic axis in differential interpolation theory. Through the segmentation of conic curve, the unification of acceleration/deceleration control strategy was realized. The speed parameters obtained by the decoding could be applied to a variety of acceleration/deceleration models, and the accurate start/stop motor could ensure the correctness of the interpolation position. The machining experimental results show that the acceleration/deceleration control strategy can be used to realize acceleration/deceleration function of the CNC system. It is a good foundation for guaranteeing the machining efficiency and quality of NC system and meeting the requirements of modern production and processing.
引文
[1] 焦青松,李迪,王世勇.连续小线段高速加工插补技术综述[J].组合机床与自动化加工技术,2014(1):1-4.JIAO Q S,LI D,WANG S Y.Survey on High-speed Interpolation of Continuous Small Blocks[J].Modular Machine Tool & Automatic Manufacturing Technique,2014(1):1-4.
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[10] 单东日.基于二次代数样条差分插补的平面参数曲线数控加工[J].制造技术与机床,2009(2):95-98.SHAN D R.Research on NC Machining of Plane Parametric Curve Based on Difference Interpolation of Conic Spline[J].Manufacturing Technology & Machine Tool,2009(2):95-98.
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[12] 浦艳敏.基于最小偏差法步进电机加减速控制的研究[J].科学技术与工程,2010,10(9):2188-2190.PU Y M.Study on the Acceleration and Deceleration Control of Stepper Motor of Minimum Deviation Interpolator[J].Science Technology and Engineering,2010,10(9):2188-2190.
[13] SIRIPALA P J,SEKERCIOGLU Y A.A Generalised Solution for Generating Stepper Motor Speed Profiles in Real Time[J].Mechatronics,2013,23(5):541-547.
[2] 陈伟娜,赖乙宗,李松,等.数控系统线性加减速算法分析与实现[J].科学技术与工程,2012,12(3):546-550.CHEN W N,LAI Y Z,LI S,et al.Analysis and Realization of Linear Acceleration and Deceleration Algorithm of NC System[J].Science Technology and Engineering,2012,12(3):546-550.
[3] 赵翔宇.数控系统的加减速控制及在高速加工中的应用[D].兰州:兰州交通大学,2015.
[4] 陈友东,魏洪兴,王琦魁.数控系统的直线和S形加减速离散算法[J].中国机械工程,2010(5):567-570.CHEN Y D,WEI H X,WANG Q K.An Algorithm of Sampled-data Linear and S Shape Acceleration and Deceleration for CNC Controller[J].China Mechanical Engineering,2010(5):567-570.
[5] 田军锋,林浒,姚壮,等.数控系统S型曲线加减速快速规划研究[J].小型微型计算机系统,2013,34(1):168-172.TIAN J F,LIN H,YAO Z,et al.Study on S-shape Curve Acceleration and Deceleration Control Fast Planning on CNC System[J].Journal of Chinese Computer Systems,2013,34(1):168-172.
[6] 赵庆志.基于可重构理论的慢走丝线切割机床控制系统研究与设计[D].南京:南京航空航天大学,2005.
[7] 刘肖,赵庆志,于光伟,等.双曲线ISO代码译成差分插补代码及程序的实现[J].山东理工大学学报(自然科学版),2010,24(2):82-86.LIU X,ZHAO Q Z,YU G W,et al.Program and Difference Interpolation of ISO Code of Hyperbola[J].Journal of Shandong University of Technology(Science and Technology),2010,24(2):82-86.
[8] 王宏甲,赵庆志,杨召彬.基于差分插补原理的圆柱插补模式研究[J].组合机床与自动化加工技术,2017(5):14-16.WANG H J,ZHAO Q Z,YANG Z B.Research on Cylindrical Interpolation Model Based on Differential Interpolation[J].Modular Machine Tool & Automatic Manufacturing Technique,2017(5):14-16.
[9] 乔磊,王宏甲,杨召彬,等.基于差分插补原理的平面三次多项式曲线插补[J].组合机床与自动化加工技术,2017(7):97-100.QIAO L,WANG H J,YANG Z B,et al.Research on Interpolation of Planar Cubic Polynomial Curve Based on Differential Interpolation[J].Modular Machine Tool & Automatic Manufacturing Technique,2017(7):97-100.
[10] 单东日.基于二次代数样条差分插补的平面参数曲线数控加工[J].制造技术与机床,2009(2):95-98.SHAN D R.Research on NC Machining of Plane Parametric Curve Based on Difference Interpolation of Conic Spline[J].Manufacturing Technology & Machine Tool,2009(2):95-98.
[11] 单东日,王涛.圆锥样条合成矢量插补及C机能刀补[J].机械科学与技术,2010,29(1):68-71.SHAN D R,WANG T.Vector Synthesis Interpolation and C-function Cutter Radius Compensation for Cone Spline[J].Mechanical Science and Technology for Aerospace Engineering,2010,29(1):68-71.
[12] 浦艳敏.基于最小偏差法步进电机加减速控制的研究[J].科学技术与工程,2010,10(9):2188-2190.PU Y M.Study on the Acceleration and Deceleration Control of Stepper Motor of Minimum Deviation Interpolator[J].Science Technology and Engineering,2010,10(9):2188-2190.
[13] SIRIPALA P J,SEKERCIOGLU Y A.A Generalised Solution for Generating Stepper Motor Speed Profiles in Real Time[J].Mechatronics,2013,23(5):541-547.