离散曲面慢刀伺服车削刀具路径规划
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摘要
为解决离散曲面加工的难题,进行了离散曲面慢刀伺服车削刀具路径规划,研究了离散曲面的刀触点生成算法和刀位点生成算法,对比了两种刀位点速度插补算法。提出了基于Zernike多项式局部数据点拟合的刀触点生成方法和Z向刀具形状补偿方法。使用MATLAB软件以环曲面为例进行仿真,验证了该方法的正确性。通过对环曲面和渐进多焦点曲面进行刀具路径规划和加工实验,表明该刀具路径规划方法能够在避免对整个曲面进行拟合的基础上实现离散曲面的高精度加工。
To solve the difficulties of discrete surface processing,the cutting path plan for discrete surface was discussed. The generating algorithms of cutting contact points and cutting location points were proposed. The two kinds of velocity interpolation algorithms for cutting location points were compared. A cutting contact points generation method based on the Zernike polynomials using local points data fitting and a Z-direction cutting tools geometry compensation method were proposed. In order to verify the accuracy of the cutting path plan,the MATLAB software was used in simulation of toric spectacle lenses. The cutting path plan and processing experiments for both toric spectacle lenses and progressive-addition lenses proved that discrete surface can be successfully and accurately machined by the proposed method without whole surface points data fitting.
To solve the difficulties of discrete surface processing,the cutting path plan for discrete surface was discussed. The generating algorithms of cutting contact points and cutting location points were proposed. The two kinds of velocity interpolation algorithms for cutting location points were compared. A cutting contact points generation method based on the Zernike polynomials using local points data fitting and a Z-direction cutting tools geometry compensation method were proposed. In order to verify the accuracy of the cutting path plan,the MATLAB software was used in simulation of toric spectacle lenses. The cutting path plan and processing experiments for both toric spectacle lenses and progressive-addition lenses proved that discrete surface can be successfully and accurately machined by the proposed method without whole surface points data fitting.
引文
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[12]陈旭.慢刀伺服车削机床PID参数优化及其刀具路径规划研究[D].南京:南京农业大学,2016Chen X.Research on PID parameter optimization and tool path generation of slow tool servo turning machine[D].Nanjing:Nanjing Agricultural University,2016(in Chinese)
[13]朱心雄.自由曲线曲面造型技术[M].北京:科学出版社,2000Zhu X X.Free curve and surface modeling technology[M].Beijing:Science Press,2000(in Chinese)
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[15]王兴盛,康敏.环曲面眼镜片的慢刀伺服加工技术[J].中国机械工程,2012,23(18):2169-2173Wang X S,Kang M.Toric spectacle lens by using slow tool servo turning[J].China Mechanical Engineering,2012,18(23):2169-2173(in Chinese)
[2]Wang X S,Fu X Q,Li C L,et al.Tool path generation for slow tool servo turning of complex optical surfaces[J].The International Journal of Advanced Manufacturing Technology,2015,79(1-4):437-448
[3]包琼琼.基于复杂曲面的超精密金刚石切削技术研究[D].杭州:浙江理工大学,2013Bao Q Q.Study on ultra precision diamond cutting technology of complicated curved surface[D].Hangzhou:Zhejiang Sci-Tech University,2013(in Chinese)
[4]刘威,周来水,安鲁陵.截面线等误差步长法计算点云刀具路径规划[J].机械科学与技术,2013,32(6):824-828Liu W,Zhou L S,An L L.The generation algorithm of tool path based on the discrete data points with curves of cross sections[J].Mechanical Science and Technology for Aerospace Engineering,2013,32(6):824-828(in Chinese)
[5]Hsu W Y,Liu Y L,Cheng Y C,et al.Design,fabrication,and metrology of ultra-precision optical freeform surface for progressive addition lens with Bspline description[J].The International Journal of Advanced Manufacturing Technology,2012,63(1-4):225-233
[6]Wang J,Santosa F.A numerical method for progressive lens design[J].Mathematical Models and Methods in Applied Sciences,2004,14(4):619-640
[7]王兴盛.复杂光学曲面慢刀伺服车削关键技术研究[D].南京:南京农业大学,2014Wang X S.Research on the key technologies of slow tool servo turning for complex optical surface[D].Nanjing:Nanjing Agriculture University,2014(in Chinese)
[8]王兴盛,康敏,傅秀清,等.镜片精密车削表面粗糙度预测[J].机械工程学报,2013,49(15):192-198Wang X S,Kang M,Fu X Q,et al.Prediction model of surface roughness in lenses precision turning[J].Journal of Mechanical Engineering,2013,49(15):192-198(in Chinese)
[9]关朝亮,王建敏,戴一帆,等.基于Zernike多项式拟合的自由曲面车削误差补偿技术[J].国防科技大学学报,2010,32(2):135-140Guan C L,Wang J M,Dai Y F,et al.Figure error compensation of freeform surface turning based on Zernike polynomial fitting[J].Journal of National University of Defense Technology,2010,32(2):135-140(in Chinese)
[10]李庆扬,王能超,易大义.数值分析[M].5版.北京:清华大学出版社,2008Li Q Y,Wang N C,Yi D Y.Numerical analysis[M].5th ed.Beijing:Tsinghua University Press,2008(in Chinese)
[11]王兴盛,康敏.基于Hermite插值的复杂光学曲面车削加工路径规划[J].机械工程学报,2012,48(11):191-198Wang X S,Kang M.Cutting path planning for complex optical surface using Hermite interpolation[J].Journal of Mechanical Engineering,2012,48(11):191-198(in Chinese)
[12]陈旭.慢刀伺服车削机床PID参数优化及其刀具路径规划研究[D].南京:南京农业大学,2016Chen X.Research on PID parameter optimization and tool path generation of slow tool servo turning machine[D].Nanjing:Nanjing Agricultural University,2016(in Chinese)
[13]朱心雄.自由曲线曲面造型技术[M].北京:科学出版社,2000Zhu X X.Free curve and surface modeling technology[M].Beijing:Science Press,2000(in Chinese)
[14]Patrikalakis N M,Maekawa T.Shape interrogation for computer aided design and manufacturing[M].Berlin:Springer,2002
[15]王兴盛,康敏.环曲面眼镜片的慢刀伺服加工技术[J].中国机械工程,2012,23(18):2169-2173Wang X S,Kang M.Toric spectacle lens by using slow tool servo turning[J].China Mechanical Engineering,2012,18(23):2169-2173(in Chinese)