基于线接触加工的二次曲面刀位轨迹研究
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摘要
针对线接触加工二次曲面刀具轨迹规划的问题,结合线接触加工原理,设计了五轴线接触加工铣床,通过各轴之间的相对运动形式、结构系数、运动参数以及坐标变换顺序,得出铣刀侧刃机构的坐标变换矩阵和位姿矩阵。以正圆锥面为例,根据正圆锥面导动线数学方程,得到正圆锥面线接触加工的刀位轨迹数学模型。通过实验,线接触加工正锥面时生成400个刀位数据,刀具沿导动线旋转一周就可以完成正锥面的线接触加工,验证了线接触加工二次曲面的刀位轨迹规划的正确性。
Aiming at the problem of the path planning of the quadric tool,Five axis line contact Milling machine is designed based on the method theory of line contact machining. The coordinate transformation matrix and the position and gesture matrix are obtained through Relative motion form,structure coefficient,motion parameter and coordinate transformation sequence Between the axes of the machine. Taking the positive conical surface as an example,the mathematical model of the cutter path of the straight conical line contact machining is established according the mathematical equations of the guide line. Cutter location data are generated in line contact Milling by experiment. Line contact machining of the normal cone is completed by the cutter rotating around the guide line. The correctness of the tool path planning of the quadric surface is proved in line contact Milling processing.
Aiming at the problem of the path planning of the quadric tool,Five axis line contact Milling machine is designed based on the method theory of line contact machining. The coordinate transformation matrix and the position and gesture matrix are obtained through Relative motion form,structure coefficient,motion parameter and coordinate transformation sequence Between the axes of the machine. Taking the positive conical surface as an example,the mathematical model of the cutter path of the straight conical line contact machining is established according the mathematical equations of the guide line. Cutter location data are generated in line contact Milling by experiment. Line contact machining of the normal cone is completed by the cutter rotating around the guide line. The correctness of the tool path planning of the quadric surface is proved in line contact Milling processing.
引文
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[2]叶佩青,陈涛,汪劲松.复杂曲面五坐标数控加工刀具轨迹的规划算法[J].机械科学与技术,2004(8):883-886.
[3]刘丽琴,阎献国.自由曲面等粗糙度数控加工刀具路径规划[J].太原重型机械学院学报,2003(9):173-176.
[4]林胜.5轴数控机床发展与应用[J].航空精密制造技术,2005,41(4):1-6.
[5]吕雪丽.圆环面刀具五坐标数控宽行线接触加工复杂曲面的研究[M].北京:北京航空航天大学出版社,2003.
[6]孟庆娟.数控加工技术浅析[J].辽宁省交通高等专科学校报,2008,1(10):36-37.
[7]蔡永林,席光,查建中.任意扭曲直纹面叶轮数控侧铣刀位计算与误差分析[J].西安交通大学学报,2004,38(5):517-520.
[8]于源,赖天琴,员敏,等.基于特征的直纹面5轴侧铣精加工刀位计算方法[J].机械工程学报,2002,38(6):130-133.
[9]Li Cheng gang,Be di,Mann.Flank milling surface design with the least square approach[J].WSEAS Transactions on Mathematics,2006,5(7):844-852.
[10]Sorby,Tonnessen,Torjusen.Improving high speed flank milling operations in multi-axis machines[J].Manufacturing Technology,2000,49(1):371-374.
[11]Larue,Anselmetti.Deviation of a machined surface in flank milling[J].International Journal of Machine Tools and Manufacture,2003,43(2):129-138.
[12]Menzel,Bedi,Mann.Triple tangent flank milling of ruled surfaces[J].CAD Computer Aided Design,2004,36(3):289-296.
[13]范冬青,张洪.曲面数控加工中的非线性误差[J].机械设计与制造,2004(4):35-37.
[14]东方人华,孙江宏.Pro/EINGEER野火版入门与提高[M].北京:清华大学出版社,2005.