机床误差对面齿轮齿面形貌的影响规律
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摘要
为了获取机床误差对面齿轮齿面形貌的影响规律,分析了加工过程中包括相对位置因素和运动过程因素在内的基于面齿轮专用磨削机床的面齿轮加工型面误差因素,提出了齿面点法向误差计算方法,通过MATLAB软件分析主要误差参数给面齿轮型面加工带来的法向误差影响规律.对机床各轴造成的面齿轮的齿面偏差规律进行了提取,并建立了机床调整参数数学表达式.结果表明:磨削过程中的误差各因素影响程度不同,通过调整各个误差参数的数值可以定量减少和调整面齿轮各齿面点位置法向误差,为面齿轮实际数控加工过程中机床各参数调整提供理论依据.
To obtain the influence rule of machine tool erroron gear tooth surface profile,the surface error factors of face gear machining based on face gear grinding machine were analyzed,including the relative position factors and the moving process factors during the machining process. This paper proposed a method of calculating the normal error of tooth surface. First,the influence rule of the main error parameters on the normal error resulting from the face gear surfacemachining was analyzed with MATLAB software. Second,the tooth surface deviation of face gear caused by each axis of machine tool was extracted. Finally,a mathematical expression of machine adjustment parameters was formulated. The calculation results show that the errors during the grinding process have different degree effects,and the normal error can be reduced quantitatively and adjusted the location of each tooth point of the face gear byadjusting the values of each error parameter, which provides a theoretical basis for adjusting the parameters of the machine tool in the actual NC machining.
To obtain the influence rule of machine tool erroron gear tooth surface profile,the surface error factors of face gear machining based on face gear grinding machine were analyzed,including the relative position factors and the moving process factors during the machining process. This paper proposed a method of calculating the normal error of tooth surface. First,the influence rule of the main error parameters on the normal error resulting from the face gear surfacemachining was analyzed with MATLAB software. Second,the tooth surface deviation of face gear caused by each axis of machine tool was extracted. Finally,a mathematical expression of machine adjustment parameters was formulated. The calculation results show that the errors during the grinding process have different degree effects,and the normal error can be reduced quantitatively and adjusted the location of each tooth point of the face gear byadjusting the values of each error parameter, which provides a theoretical basis for adjusting the parameters of the machine tool in the actual NC machining.
引文
[1]KIRIDENA V S B,FERREIRA P M.Kinematic modeling of quasistatic errors of three-axis machining centers[J].International Journal of Machine Tools&Manufacture,1994,34(1):85-100.
[2]KIRIDENA V S B,FERREIRA P M.Parameter estimation and model verification of first order quasistatic error model for three-axis machining centers[J].International Journal of Machine Tools&Manufacture,1994,34(1):101-125.
[3]RAHMAN M,HEIKKALA J,LAPPALAINEN K.Modeling,measurement and error compensation of multiaxis machine tools.part I:theory[J].International Journal of Machine Tools&Manufacture,2000,40(10):1535-1546.
[4]王志永,于水琴,曾韬.机床误差对螺旋锥齿轮齿形的影响规律[J].农业机械学报,2009,40(6):199-202.WANG Z Y,YU S Q,ZENG T.Effect of machine tool errore on the tooth form of spiral bevel gears[J].Transactions of the Chinese Society for Agricultural Machinery,2009,40(6):199-202.(in Chinese)
[5]李丽霞,李培军,刘新状.机床调整误差对弧齿锥齿轮大轮齿面形状影响规律的研究[J].机械传动,2006,30(4):13-15.LI L X,LI P J,LIU X Z.Research on the influence of the gear tooth surface shape of spiral bevel gear by adjustment error of machine tool[J].Journal of Mechanical Transmission,2006,30(4):13-15.(in Chinese)
[6]屈辉.弧齿锥齿轮数控加工误差分析与虚拟测量技术的研究[D].湘潭:湘潭大学,2013.QU H.Research on CNC machining error analysis and virtual measurement technology for spiral bevel gear[D].Xiangtan:Xiangtan University,2013.(in Chinese)
[7]明兴祖,王伟,赵磊,等.基于多体系统理论面齿轮数控磨床综合误差建模及分析[J].机械传动,2015,39(4):32-36.MING X Z,WANG W,ZHAO L,et al.Comprehensive error modeling and analysis of face gear NC grinding machine based on multi-body system theory[J].Journal of Mechanical Transmission,2015,39(4):32-36.(in Chinese)
[8]明兴祖,李曼德,王伟,等.含误差面齿轮齿面方程的建立及误差敏感方向分析[J].机械传动,2015,39(5):1.MING X Z,LI D M,WANG W,et al.Analysis of the error sensitive direction and establishment of the equation of face gear tooth surface with error[J].Journal of Mechanical Transmission,2015,39(5):1.(in Chinese)
[9]王秀山,杨建国,闫嘉钰.基于多体系统理论的五轴机床综合误差建模技术[J].上海交通大学学报,2008,42(5):761-764.WANG X S,YANG J G,YAN J Y.Synthesis error modeling of the five-axis machine tools based on multi-body system theory[J].Journal of Shanghai Jiaotong University,2008,42(5):761-764.(in Chinese)
[10]王延忠,侯良威,兰州,等.渐开线碟形砂轮磨削面齿轮数控加工研究[J].航空动力学报,2015,30(8):2033-2041.WANG Y Z,HOU L W,LAN Z,et al.Research on processing method of grinding face gear with involutedisc wheel[J].Journal of Aerospace Power,2015,30(8):2033-2041.(in Chinese)
[2]KIRIDENA V S B,FERREIRA P M.Parameter estimation and model verification of first order quasistatic error model for three-axis machining centers[J].International Journal of Machine Tools&Manufacture,1994,34(1):101-125.
[3]RAHMAN M,HEIKKALA J,LAPPALAINEN K.Modeling,measurement and error compensation of multiaxis machine tools.part I:theory[J].International Journal of Machine Tools&Manufacture,2000,40(10):1535-1546.
[4]王志永,于水琴,曾韬.机床误差对螺旋锥齿轮齿形的影响规律[J].农业机械学报,2009,40(6):199-202.WANG Z Y,YU S Q,ZENG T.Effect of machine tool errore on the tooth form of spiral bevel gears[J].Transactions of the Chinese Society for Agricultural Machinery,2009,40(6):199-202.(in Chinese)
[5]李丽霞,李培军,刘新状.机床调整误差对弧齿锥齿轮大轮齿面形状影响规律的研究[J].机械传动,2006,30(4):13-15.LI L X,LI P J,LIU X Z.Research on the influence of the gear tooth surface shape of spiral bevel gear by adjustment error of machine tool[J].Journal of Mechanical Transmission,2006,30(4):13-15.(in Chinese)
[6]屈辉.弧齿锥齿轮数控加工误差分析与虚拟测量技术的研究[D].湘潭:湘潭大学,2013.QU H.Research on CNC machining error analysis and virtual measurement technology for spiral bevel gear[D].Xiangtan:Xiangtan University,2013.(in Chinese)
[7]明兴祖,王伟,赵磊,等.基于多体系统理论面齿轮数控磨床综合误差建模及分析[J].机械传动,2015,39(4):32-36.MING X Z,WANG W,ZHAO L,et al.Comprehensive error modeling and analysis of face gear NC grinding machine based on multi-body system theory[J].Journal of Mechanical Transmission,2015,39(4):32-36.(in Chinese)
[8]明兴祖,李曼德,王伟,等.含误差面齿轮齿面方程的建立及误差敏感方向分析[J].机械传动,2015,39(5):1.MING X Z,LI D M,WANG W,et al.Analysis of the error sensitive direction and establishment of the equation of face gear tooth surface with error[J].Journal of Mechanical Transmission,2015,39(5):1.(in Chinese)
[9]王秀山,杨建国,闫嘉钰.基于多体系统理论的五轴机床综合误差建模技术[J].上海交通大学学报,2008,42(5):761-764.WANG X S,YANG J G,YAN J Y.Synthesis error modeling of the five-axis machine tools based on multi-body system theory[J].Journal of Shanghai Jiaotong University,2008,42(5):761-764.(in Chinese)
[10]王延忠,侯良威,兰州,等.渐开线碟形砂轮磨削面齿轮数控加工研究[J].航空动力学报,2015,30(8):2033-2041.WANG Y Z,HOU L W,LAN Z,et al.Research on processing method of grinding face gear with involutedisc wheel[J].Journal of Aerospace Power,2015,30(8):2033-2041.(in Chinese)