五轴联动数控系统非线性误差的研究与控制
|
摘要
五轴联动数控机床由于两个旋转轴的存在使得插补后获得的刀具轨迹与理论编程轨迹不相等,存在非常大的非线性误差。通过对运动学坐标变换、双摆头五轴联动机床刀具运动原理和插补原理进行分析得出引起非线性误差的原因。介绍一种基于时间分割法的插补算法,通过MATLAB进行仿真实验及参数分析,其结果表明了该算法的有效性。
Due to the existence of the two rotation axes, actual tool path obtained by interpolation deviates from theory programming line, resulting in a great non-linear error. Through the study of kinematics analysis of coordinate transformation, the principle of tool motion and interpolation of five-axis machine tool with double pendulum head, the causes of nonlinear error were obtained.A interpolation algorithm based on time division method was introduced. The simulation experiment and parameter analysis based on MATLAB were carried out. The results show that the algorithm is effective.
Due to the existence of the two rotation axes, actual tool path obtained by interpolation deviates from theory programming line, resulting in a great non-linear error. Through the study of kinematics analysis of coordinate transformation, the principle of tool motion and interpolation of five-axis machine tool with double pendulum head, the causes of nonlinear error were obtained.A interpolation algorithm based on time division method was introduced. The simulation experiment and parameter analysis based on MATLAB were carried out. The results show that the algorithm is effective.
引文
[1] 耿聪,于东,张晓辉.五轴联动数控加工中的刀具轨迹控制算法[J].中国机械工程,2010(24):2904-2909.GENG C,YU D,ZHANG X H.An Algorithm for Tool Path Control in Five-axis CNC Machining Processes[J].China Mechanical Engineering,2010(24):2904-2909.
[2] 朱志浩,樊留群,齐党进,等.五轴联动刀轴矢量平面插补算法:CN 102608951 A[P].2012-07-25.
[3] 孙维堂,刘伟军,于东,等.五轴联动数控系统RTCP技术的研究与实现[J].小型微型计算机系统,2011,32(12):2515-2518.SUN W T,LIU W J,YU D,et al.Design and Implementation of Rotation Around Tool Center Point Algorithm for 5-axis CNC[J].Journal of Chinese Computer Systems,2011,32(12):2515-2518.
[4] 高伟强,胡泽华,庄朱协.五轴联动数控系统中RTCP技术的研究[J].制造技术与机床,2011(10):66-69.GAO W Q,HU Z H,ZHUANG Z X.Study on RTCP Technology of 5-axis Linkage CNC System[J].Manufacturing Technology & Machine Tool,2011(10):66-69.
[5] 赵薇,高春,马跃,等.通用RTCP算法的研究与设计[J].小型微型计算机系统,2008,29(5):980-984.ZHAO W,GAO C,MA Y,et al.Research and Design of a Generalized RTCP Algorithm[J].Journal of Chinese Computer Systems,2008,29(5):980-984.
[6] 赵薇.多过程数控系统解释器及RTCP功能的设计与实现[D].沈阳:中国科学院研究生院(沈阳计算技术研究所),2008.
[7] 周艳红,周济,周云飞,等.五坐标数控加工的理论误差分析与控制[J].机械工程学报,1999,35(5):54-57.ZHOU Y H,ZHOU J,ZHOU Y F,et al.Analysis and Control of the Theoretical Error in Five-axis NC Machining[J].Journal of Mechanical Engineering,1999,35(5):54-57.
[8] 董超杰,樊曙天.五轴联动数控机床非线性误差的研究[J].组合机床与自动化加工技术,2012(7):85-88.DONG C J,FAN S T.Research of Non-linear Error for Five-axis NC Machine[J].Modular Machine Tool & Automatic Manufacturing Technique,2012(7):85-88.
[9] 樊曙天,杨伟平.双转台五坐标机床RTCP功能的研究[J].制造技术与机床,2009(12):74-77.FAN S T,YANG W P.Research of the RTCP Function for 5-axis Machine with Dual Rotary Tables[J].Manufacturing Technology & Machine Tool,2009(12):74-77.
[2] 朱志浩,樊留群,齐党进,等.五轴联动刀轴矢量平面插补算法:CN 102608951 A[P].2012-07-25.
[3] 孙维堂,刘伟军,于东,等.五轴联动数控系统RTCP技术的研究与实现[J].小型微型计算机系统,2011,32(12):2515-2518.SUN W T,LIU W J,YU D,et al.Design and Implementation of Rotation Around Tool Center Point Algorithm for 5-axis CNC[J].Journal of Chinese Computer Systems,2011,32(12):2515-2518.
[4] 高伟强,胡泽华,庄朱协.五轴联动数控系统中RTCP技术的研究[J].制造技术与机床,2011(10):66-69.GAO W Q,HU Z H,ZHUANG Z X.Study on RTCP Technology of 5-axis Linkage CNC System[J].Manufacturing Technology & Machine Tool,2011(10):66-69.
[5] 赵薇,高春,马跃,等.通用RTCP算法的研究与设计[J].小型微型计算机系统,2008,29(5):980-984.ZHAO W,GAO C,MA Y,et al.Research and Design of a Generalized RTCP Algorithm[J].Journal of Chinese Computer Systems,2008,29(5):980-984.
[6] 赵薇.多过程数控系统解释器及RTCP功能的设计与实现[D].沈阳:中国科学院研究生院(沈阳计算技术研究所),2008.
[7] 周艳红,周济,周云飞,等.五坐标数控加工的理论误差分析与控制[J].机械工程学报,1999,35(5):54-57.ZHOU Y H,ZHOU J,ZHOU Y F,et al.Analysis and Control of the Theoretical Error in Five-axis NC Machining[J].Journal of Mechanical Engineering,1999,35(5):54-57.
[8] 董超杰,樊曙天.五轴联动数控机床非线性误差的研究[J].组合机床与自动化加工技术,2012(7):85-88.DONG C J,FAN S T.Research of Non-linear Error for Five-axis NC Machine[J].Modular Machine Tool & Automatic Manufacturing Technique,2012(7):85-88.
[9] 樊曙天,杨伟平.双转台五坐标机床RTCP功能的研究[J].制造技术与机床,2009(12):74-77.FAN S T,YANG W P.Research of the RTCP Function for 5-axis Machine with Dual Rotary Tables[J].Manufacturing Technology & Machine Tool,2009(12):74-77.