以某类型数控凸轮轴磨床为研究对象，通过对其结构和运动的分析，确定了该机床共有21项误差参数。通过建立含有误差参数的相邻体坐标系运动关系模型，将机床运动体划分为“床身—工件”和“床身—刀具”两条运动链，建立了该机床的拓扑结构图，然后采用多体系统理论对该机床误差进行了建模。对各运动体分别建立了体坐标系和运动参考坐标系，结合相邻体坐标系运动关系模型求出对应的变换矩阵，提出了有误差影响情况下实现精密加工约束条件方程为Pw=Pt，并对该方程进行了求解。建立了凸轮轴磨削加工时X-C轴联动的数学模型，求出了磨削点在工件坐标系和刀具坐标系中的坐标。对影响凸轮轴加工的15项误差参数使用球杆仪采用3种测量方式进行了辨识，这为机床误差补偿的研究提供了必要条件。
Abstract
Taking certain types CNC camshaft grinder as the research object, through the analysis of the structure and movement of it to determine the total of 21 error parameters. By establishing the motion relation model of the adjacent body coordinate system contains the error parameters. The machine movement is divided into "bed - workpieces " and "bed - tool " two kinematic chain. It established the topology structure of the machine tool, and then using the multi-body system theory to the modeling error of the machine tool. Each moving bodies were set up body coordinate system and motion reference coordinate system. It solved corresponding transformation matrix by combining with the motion relation model of the adjacent body coordinate system. It put forward in case of using errors affect achieve precision machining constraints equation is Pw=Pt, and solved the equation. It established mathematical model of X-C axis linkage at the time of the camshaft grinding, and worked out the grinding point coordinates in workpiece coordinate system and tool coordinate system. It adopted the three kinds of measurement methods for 15 error parameters identification of affecting the camshaft machining by using cue instrument. It provides necessary conditions to research on machine tool error compensation.
关键词
数控凸轮轴磨床 /
运动分析 /
多体系统 /
误差建模 /
误差辨识
{{custom_keyword}} /
Key words
CNC Camshaft Grinder /
Motion Analysis /
Multibody System /
Error Modeling /
Error Identification
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 刘勇军，范晋伟，李云.发动机凸轮轴磨削变形补偿技术研究[J].农业机械学报，2013,44(6):274-279.
Liu Yongjun, Fan Jinwei, Li Yun. Compensation technology of grinding deformation for engine camshaft[J]. Transactions of the Chinese Society for Agricultural Machinery, 2013,44(6):274-279.
[2] 李建.凸轮轴数控磨削误差分析和补偿技术研究及软件设计[D].长沙：湖南大学，2009.
Li Jian. Software design and technical study of error analysis and compensation of camshaft NC grinding[D]. Changsha: Hunan University,2009.
[3] 刘又午，章青.数控机床全误差模型和误差补偿技术的研究[J].制造技术与技术，2003,(7):46-50.
Liu Youwu, Zhang Qing. Research on total error model and error compensation of CNC machine tools[J]. Manufacturing Technology & Machine Tool, 2003(7): 46-50.
[4] 杨建国.数控机床误差综合补偿技术及应用[D].上海：上海交通大学，1998.
Yang Jianguo. Error synthetic compensation technique and application for NC machine tools[D]. Shanghai: Shanghai Jiao Tong University, 1998.
[5] 王维，杨建国，姚晓栋,等.数控机床几何误差与热误差综合建模及其实时补偿[J].机械工程学报，2012,48(7),165-170,179.
Wang Wei, Yang Jianguo, Yao Xiaodong, et al. Synthesis modeling and real-time compensation of geometric error and thermal error for CNC machine tools[J]. Journal of Mechanical Engineering, 2012, 48(7), 165-170,179.
[6] V.S.B.Kiridena, P.M.Ferreira. Kinematic Modeling of quasistatic errors of three-axis machining centers[J]. Int.J.Mach. Tools Manufacture. 1994,(34): 85～100.
[7] Chatterjee S. An assessment of quasi-static and operational errors in NC machine tools[J]. Journal of manufacturing systems, 1997, 16(1): 459～468.
[8] Lin Y., Shen Y., Modeling of five-axis machine tool metrology models using the matrix summation approach[J]. The International Journal of Advanced Manufacturing Technology, 2003, 21(4): 243-248.
[9] Shaowei Zhu, Guofu Ding, Shengfeng Qin, et al. Integrated geometric error modeling, identification and compensation of CNC machine tool[J]. International Journal of Machine Tools and Manufacture, 2012(52): 24-29.
[10] 王民，胡建忠，昝涛，等.五轴数控机床运动误差建模与测试技术[J].北京工业大学学报，2010,36(4):433-439.
Wang Min, Hu Jianzhong, Zan Tao, et al. Research on modeling and measurement technique of kinematic error particular to 5-axis NC machining tool[J]. Journal of Beijing University of technology, 2010, 36(4): 433-439.
[11] Ibarki,S., C.Oyama and H.Otsubo, Construction of an error map of rotary axes on a five-axis machining center by static R-test[J].International Journal of Machine Tools and Manufacture, 2011, 51(3): 190-200.
[12] 刘勇军，范晋伟，李云，等.数控凸轮轴磨床精度可靠性维持技术[J].北京工业大学学报，2013,39(10):1446-1451.
Liu Yongjun, Fan Jinwei, Li Yun, et al. Manufacturing precision reliability maintenance technology of the CNC camshaft grinder[J]. Journal of Beijing University of technology, 2013, 39(10): 1446-1451.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(845 KB)
