渐开线碟形砂轮磨削面齿轮数控加工研究
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摘要
为进行面齿轮数控精密加工,提出了一种渐开线碟形砂轮磨削面齿轮加工方法.根据面齿轮成形过程及磨削加工原理,推导了渐开线碟形砂轮磨削面齿轮齿面方程,进行了面齿轮磨削加工机床设计,给出了基于机床结构的面齿轮磨削加工方法,进行了磨削加工过程中的啮合点刀位计算;借助VERICUT软件进行了面齿轮数控磨削加工仿真,最后进行了面齿轮磨削加工试验,通过对面齿轮齿面进行检测,得到齿面偏差最大值为-10.1~12.1μm,结果验证了渐开线碟形砂轮磨削加工面齿轮方法的正确性.
A method of face gear grinding by involute disc wheel was proposed for precision machining.Tooth surface equation of face gear with disc wheel grinding was derived in accordance with the surface forming process and grinding principles.A special CNC(computerized numerical controlled)machine was developed for face gear grinding,and the method was given for face gear grinding based on the structure of the machine,the tool path generation of meshing points was also calculated.Grinding process of face gear was simulated by VERICUT.Finally,the processing experiments of grinding were conducted,and the coordinate values of tooth surface points were detected,by which the maximum deviation of-10.1-12.1μm was obtained.The results verify that the processing method of face gear grinding with involute disc wheel is correct.
A method of face gear grinding by involute disc wheel was proposed for precision machining.Tooth surface equation of face gear with disc wheel grinding was derived in accordance with the surface forming process and grinding principles.A special CNC(computerized numerical controlled)machine was developed for face gear grinding,and the method was given for face gear grinding based on the structure of the machine,the tool path generation of meshing points was also calculated.Grinding process of face gear was simulated by VERICUT.Finally,the processing experiments of grinding were conducted,and the coordinate values of tooth surface points were detected,by which the maximum deviation of-10.1-12.1μm was obtained.The results verify that the processing method of face gear grinding with involute disc wheel is correct.
引文
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[6]李政民卿,朱如鹏.面齿轮插齿加工中过程包络面和理论齿廓的干涉[J].重庆大学学报,2007,30(5):55-58.LI Zhengminqing,ZHU Rupeng.Process method of face gear drive with spur involute pinion with the shaping machine[J].Journal of Chongqing University,2007,30(5):55-58.(in Chinese)
[7]王志,石照耀,刘建炜,等.正交面齿轮计算机仿真加工[J].北京工业大学学报,2012,38(7):1004-1007.WANG Zhi,SHI Zhaoyao,LIU Jianwei,et al.Simulation of orthogonal face gear proceeding[J].Journal of Beijing University of Technology,2012,38(7):1004-1007.(in Chinese)
[8]薛东彬,陈大立,李永祥.面齿轮的数控铣削加工[J].机械制造技术,2010,37(11):65-66.XUE Dongbin,CHEN Dali,LI Yongxiang.NC milling face gear processing[J].Manufacturing Technology,2010,37(11):65-66.(in Chinese)
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[10]赵宁,郭辉,方宗德,等.用球形滚刀滚切面齿轮的理论误差[J].航空动力学报,2009,24(3):677-682.ZHAO Ning,GUO Hui,FANG Zongde,et al.Theory error of cutting face gears with sphericity hob[J].Journal of Aerospace Power,2009,24(3):677-682.(in Chinese)
[11]Litvin F L,Chen Y J,Heath G F,et al.Apparatus and method for precision grinding face gear:US,6.146.235[P].2000-11-14.
[12]赵宁,刘常青.关于面齿轮磨削加工机床的研究[J].机械设计与制造,2007,(10):151-152.ZHAO Ning,LIU Changqing.Study on grinding machine of fece gears[J].Mechanical Design and Manufacturing,2007,(10):151-152.(in Chinese)
[13]彭先龙,方宗德,苏进展,等.采用碟形砂轮的面齿轮磨齿方法理论分析[J].航空动力学报,2012,27(5):1159-1165.PENG Xianlong,FANG Zongde,SU Jinzhan,et al.Theory analysis for application grinding disk in face gear grinding[J].Journal of Aerospace Power,2012,27(5):1159-1165.(in Chinese)
[14]彭先龙,李建华,方宗德,等.碟形砂轮磨削面齿轮的数控规律[J].哈尔滨工业大学学报,2012,44(11):101-104.PENG Xianlong,LI Jianhua,FANG Zongde,et al.Computer numerical controlling rules of applying grinding disk in face gear grinding[J].Journal of Harbin Institute of Technology,2012,44(11):101-104.(in Chinese)
[15]WANG Yanzhong,HOU Liangwei,LIU Yanqiang,et.al.Research on machining method of complex surface face gears[J].Applied Mechanics and Materials,2012,163:233-237.
[16]姬存强,魏冰阳,邓效忠,等.正交面齿轮的设计与插齿加工试验[J].机械传动,2010,34(2):58-61.JI Cunqiang,WEI Bingyang,DENG Xiaozhong,et al.Design and gear shaping experiment on orthogonal face gear[J].Journal of Mechanical Transmission,2010,34(2):58-61.(in Chinese)
[17]王延忠,吴灿辉,葛旭阳.面齿轮滚刀基本蜗杆的设计方法[J].北京航空航天大学学报,2009,35(2):166-169.WANG Yanzhong,WU Canhui,GE Xuyang,et al.Basal worm designing method of face gear hob[J].Journal of Beijing University of Aeronautics and Astronautics,2009,35(2):166-169.(in Chinese)
[18]高金忠,朱如鹏,李政民卿.面齿轮滚磨刀具基蜗杆齿廓奇异点研究[J].航空动力学报,2011,26(10):2394-2400.GAO Jinzhong,ZHU Rupeng,LI Zhengminqing.Research on singularities of base worm thread surface for hobbing or grinding face gear[J].Journal of Aerospace Power,2011,26(10):2394-2400.(in Chinese)
[2]Litvin F L,Fuentes A,Gonzalez-Perez I,et al.Face gear drive with helical involute pinion:geometry,generation by a shaper and worm,avoidance of singularities and stress analysis[R].NASA/CR-213443,2005.
[3]Litvin F L,Gonzalez-Perez I,Fuentes A,et al.Design,generation and stress analysis of face gear drive with helical pinion[J].Computer Methods in Applied Mechanics Andengineering,2005,194(36):3870-3901.
[4]Filler R R,Heath G F,Slaughter S C.Torque splitting by a concentric face gear transmission[R].Montreal,Canada:American Helicopter Society 58th Annual Forum,2002.
[5]Lewicki D G,Heath G F,Filler R R,et al.RDS-21facegear surface durability tests[R].NASA/TM-2007-214970,2007.
[6]李政民卿,朱如鹏.面齿轮插齿加工中过程包络面和理论齿廓的干涉[J].重庆大学学报,2007,30(5):55-58.LI Zhengminqing,ZHU Rupeng.Process method of face gear drive with spur involute pinion with the shaping machine[J].Journal of Chongqing University,2007,30(5):55-58.(in Chinese)
[7]王志,石照耀,刘建炜,等.正交面齿轮计算机仿真加工[J].北京工业大学学报,2012,38(7):1004-1007.WANG Zhi,SHI Zhaoyao,LIU Jianwei,et al.Simulation of orthogonal face gear proceeding[J].Journal of Beijing University of Technology,2012,38(7):1004-1007.(in Chinese)
[8]薛东彬,陈大立,李永祥.面齿轮的数控铣削加工[J].机械制造技术,2010,37(11):65-66.XUE Dongbin,CHEN Dali,LI Yongxiang.NC milling face gear processing[J].Manufacturing Technology,2010,37(11):65-66.(in Chinese)
[9]ZHAO Ning,GUO Hui,FANG Zongde,et al.Research on machining face gear using a CNC hobbing machine[J].Advanced Materials Research,2010,97(101):3761-3764.
[10]赵宁,郭辉,方宗德,等.用球形滚刀滚切面齿轮的理论误差[J].航空动力学报,2009,24(3):677-682.ZHAO Ning,GUO Hui,FANG Zongde,et al.Theory error of cutting face gears with sphericity hob[J].Journal of Aerospace Power,2009,24(3):677-682.(in Chinese)
[11]Litvin F L,Chen Y J,Heath G F,et al.Apparatus and method for precision grinding face gear:US,6.146.235[P].2000-11-14.
[12]赵宁,刘常青.关于面齿轮磨削加工机床的研究[J].机械设计与制造,2007,(10):151-152.ZHAO Ning,LIU Changqing.Study on grinding machine of fece gears[J].Mechanical Design and Manufacturing,2007,(10):151-152.(in Chinese)
[13]彭先龙,方宗德,苏进展,等.采用碟形砂轮的面齿轮磨齿方法理论分析[J].航空动力学报,2012,27(5):1159-1165.PENG Xianlong,FANG Zongde,SU Jinzhan,et al.Theory analysis for application grinding disk in face gear grinding[J].Journal of Aerospace Power,2012,27(5):1159-1165.(in Chinese)
[14]彭先龙,李建华,方宗德,等.碟形砂轮磨削面齿轮的数控规律[J].哈尔滨工业大学学报,2012,44(11):101-104.PENG Xianlong,LI Jianhua,FANG Zongde,et al.Computer numerical controlling rules of applying grinding disk in face gear grinding[J].Journal of Harbin Institute of Technology,2012,44(11):101-104.(in Chinese)
[15]WANG Yanzhong,HOU Liangwei,LIU Yanqiang,et.al.Research on machining method of complex surface face gears[J].Applied Mechanics and Materials,2012,163:233-237.
[16]姬存强,魏冰阳,邓效忠,等.正交面齿轮的设计与插齿加工试验[J].机械传动,2010,34(2):58-61.JI Cunqiang,WEI Bingyang,DENG Xiaozhong,et al.Design and gear shaping experiment on orthogonal face gear[J].Journal of Mechanical Transmission,2010,34(2):58-61.(in Chinese)
[17]王延忠,吴灿辉,葛旭阳.面齿轮滚刀基本蜗杆的设计方法[J].北京航空航天大学学报,2009,35(2):166-169.WANG Yanzhong,WU Canhui,GE Xuyang,et al.Basal worm designing method of face gear hob[J].Journal of Beijing University of Aeronautics and Astronautics,2009,35(2):166-169.(in Chinese)
[18]高金忠,朱如鹏,李政民卿.面齿轮滚磨刀具基蜗杆齿廓奇异点研究[J].航空动力学报,2011,26(10):2394-2400.GAO Jinzhong,ZHU Rupeng,LI Zhengminqing.Research on singularities of base worm thread surface for hobbing or grinding face gear[J].Journal of Aerospace Power,2011,26(10):2394-2400.(in Chinese)