齿轮装夹位姿误差对人字齿轮加工精度的影响与补偿
|
摘要
为了提高人字齿轮的加工精度,提出一种补偿齿轮装夹位姿误差的简单方法。根据渐开线齿轮的数学模型和侧铣包络原理,自主开发软件生成刀具位置数据。通过建立齿轮装夹位姿误差模型,分析了齿偏差与齿轮装夹位姿误差间的关系。基于多体理论提出通过逆向解耦求解补偿代码解析解的补偿方法。通过切削实验验证了该方法能将人字齿轮精度从8级提高到5级且对称性明显提高,对提高人字齿轮的啮合性能具有重要意义。
To improve the accuracy of herringbone gear,an easy method for compensating the gear clamping pose errors was presented.According to the mathematic model of involute gear and the flank milling envelope principle,cutter location(CL)data could be generated with the self-developed software.The gear installation error model was built and the relationship between tooth deviation and gear clamping pose errors was analyzed.A compensation method based on multi-body theory was proposed to solve the analytical solution of compensation code by reverse decoupling,of which the effectiveness was verified with cutting experiments.The results showed that the proposed method could improve the herringbone gear accuracy form grade 8 to grade 5 and the symmetry was obviously improved,which had great significance to improve the meshing performance of herringbone gear.
To improve the accuracy of herringbone gear,an easy method for compensating the gear clamping pose errors was presented.According to the mathematic model of involute gear and the flank milling envelope principle,cutter location(CL)data could be generated with the self-developed software.The gear installation error model was built and the relationship between tooth deviation and gear clamping pose errors was analyzed.A compensation method based on multi-body theory was proposed to solve the analytical solution of compensation code by reverse decoupling,of which the effectiveness was verified with cutting experiments.The results showed that the proposed method could improve the herringbone gear accuracy form grade 8 to grade 5 and the symmetry was obviously improved,which had great significance to improve the meshing performance of herringbone gear.
引文
[1]KAWASAKI K,TSUJI I,GUNBARA H.Manufacturing method of double helical gears using multi-axis control and multi-tasking machine tool[C]//Proceedings of the International Gear Conference.Amsterdam,the Netherlands:Chandos publishing,2014:86-95.
[2]ZHU Zengbao,ZHU Rupeng,LI Yingsheng,et al.Impact of installation error on dynamics load sharing characteristic for encased differential herringbone train[J].Journal of Mechanical Engineering,2012,48(3):16-24(in Chinese).[朱增宝,朱如鹏,李应生,等.安装误差对封闭差动人字齿轮传动系统动态均在特性的影响[J].机械工程学报,2012,48(3):16-24.]
[3]CHEN Siyu,ZHANG Jinyuan,ZHOU Changjiang,et al.Modal and whirling analysis of coupled lateral and torsional vibration of herringbone gear[J].International Journal of Dynamics&Control,2014,2(3):404-414.
[4]CHAARI F,FAKHFAKH T,HBAIEB R,et al.Influence of manufacturing errors on the dynamic behavior of planetary gears[J].The International Journal of Advanced Manufacturing Technology,2006,27(7/8):738-746.
[5]REN F,QIN D T,LIM T C,et al.Study on dynamic characteristics and load sharing of a herringbone planetary gear with manufacturing errors[J].International Journal of Precision Engineering and Manufacturing,2014,15(9):1925-1934.
[6]BU Zhonghong,LIU Geng,WU Liyan.Modal analyses of herringbone planetary gear train with journal bearings[J].Mechanism and Machine Theory,2012,54:99-115.
[7]GUO Fang,FANG Zongde,ZHANG Xijin,et al.Influence of the eccentric error of star gear on the bifurcation properties of heringbone star gear transmission tieh floating sun gear[J].Shock and Vibration,2018(4):1-32.
[8]WANG Feng,ZHU Yanlin,FANG Zongde,et al.Theoretical and experimental investigation on the effect of teeth modification on the meshing stiffness of herringbone gear system[J].Journal of Vibration and Shock,2018,37(1):40-46(in Chinese).[王峰,朱彦霖,方宗德,等.齿面修形对人字齿轮啮合刚度影响分析与试验研究[J].振动与冲击,2018,37(1):40-46.]
[9]LIU Haiyan,MA Hongwei,BAI Xiaohui,et al.Discussion on technical process method to improve cutting accuracy of ring gear[J].Coal Mine Machinery,2011,32(6):134-135(in Chinese).[刘海燕,马宏伟,白晓辉,等.提高内齿圈插齿精度的工艺方法[J].煤矿机械,2011,32(6):134-135.]
[10]TANG Jinyuan,LI Youyuan,ZHOU Chao,et al.Relation between CNC bevel gear geneartor spatial errors and machine setting errors[J].Journal of Mechanical Engineering,2009,45(4):148-154(in Chinese).[唐进元,李友元,周超,等.螺旋锥齿轮数控磨齿机机床空间误差与机床调整参数的关系[J].机械工程学报,2009,45(4):148-154.]
[11]YU Chunjian,WANG Mulan,TANG Wencheng.Anlysis of gear setting errors for cylindrical gear accuracy in form grinding[J].Computer Integrated Manufacturing Systems,2017,23(2):305-314(in Chinese).[于春建,汪木兰,汤文成.齿轮装夹位姿误差对成形磨齿精度的影响[J].计算机集成制造系统,2017,23(2):305-314.]
[12]ZHU Shaowei,DINGGuofang,QIN Shengfeng,et al.Integrated geometric error modeling,identification and compensation of CNC machine tools[J].International Journal of Machine Tools&Manufacture,2012,52(1):24-29.
[13]TSUTSUMI M,TONE S,KATO N,et al.Enhancement of geometric accuracy of five-axis machining centers based on identification and compensation of geometric deviations[J].International Journal of Machine Tools&Manufacture,2013,68:11-20.
[14]CHEN Jianxiong,LIN Shuwen,HE Bingwei.Geometric error compensation for multi-axis CNC machines based on differential transformation[J].The International Journal of Advanced Manufacturing Technology,2014,71(1/2/3/4):635-642.
[15]PENG F Y,MA J Y,WANG W,et al.Total differential methods based universal post processing algorithm considering geometric error for multi-axis NC machine tool[J].International Journal of Machine Tools&Manufacture,2013,70:53-62.
[16]CUI Gangwei,LU Yong,LI Jianguang,et al.Geometric error compensation software system for CNC machine tools based on NC program reconstructing[J].The International Journal of Advanced Manufacturing Technology,2012,63(1/2/3/4):169-180.
[17]DING Shuang,HUANG Xiaodiao,YU Chunjian,et al.Novel method for position-independent geometric error compensation of five-axis orthogonal machine tool based on error motion[J].The International Journal of Advanced Manufacturing Technology,2016,83(5/6/7/8):1069-1078.
[18]ZHANG Hu,HUANG Xiaodiao,YUAN Hong,et al.Compensation for tooth profile deviations of gear profile grinding with grinding wheel position[J].Computer Integrated Manufacturing Systems,2013,19(6):1288-1295(in Chinese).[张虎,黄筱调,袁鸿,等.砂轮位置对成形磨齿齿廓偏差的补偿[J].计算机集成制造系统,2013,19(6):1288-1295.]
[19]FANG Chenggang,GONG Jianming,GUO Erkuo,et al.A-nalysis and compensation for gear accuracy with setting error in form grinding[J].Advances in Mechanical Engineering,2014,7(1):309148.DOI:10.1155/2014/309148.
[20]SHINY P,CHEN S D.A flank correction methodology for a five-axis CNC gear profile grinding machine[J].Mechanism and Machine Theory,2012,47(1):31-45.
[21]SHE Chenhua,HUANG Zhaotang.Post-processor development of a five-axis machine tool with nutating head and table configuration[J].The International Journal of Advanced Manufacturing Technology,2008,38(7/8):728-740.
[22]LI Dianxin,ZHANG Jianfu,ZHANG Yunliang,et al.Modeling,identification and compensation for geometric errors of laser annealing table[J].Journal of Central South University,2014,21(3):904-911.
[2]ZHU Zengbao,ZHU Rupeng,LI Yingsheng,et al.Impact of installation error on dynamics load sharing characteristic for encased differential herringbone train[J].Journal of Mechanical Engineering,2012,48(3):16-24(in Chinese).[朱增宝,朱如鹏,李应生,等.安装误差对封闭差动人字齿轮传动系统动态均在特性的影响[J].机械工程学报,2012,48(3):16-24.]
[3]CHEN Siyu,ZHANG Jinyuan,ZHOU Changjiang,et al.Modal and whirling analysis of coupled lateral and torsional vibration of herringbone gear[J].International Journal of Dynamics&Control,2014,2(3):404-414.
[4]CHAARI F,FAKHFAKH T,HBAIEB R,et al.Influence of manufacturing errors on the dynamic behavior of planetary gears[J].The International Journal of Advanced Manufacturing Technology,2006,27(7/8):738-746.
[5]REN F,QIN D T,LIM T C,et al.Study on dynamic characteristics and load sharing of a herringbone planetary gear with manufacturing errors[J].International Journal of Precision Engineering and Manufacturing,2014,15(9):1925-1934.
[6]BU Zhonghong,LIU Geng,WU Liyan.Modal analyses of herringbone planetary gear train with journal bearings[J].Mechanism and Machine Theory,2012,54:99-115.
[7]GUO Fang,FANG Zongde,ZHANG Xijin,et al.Influence of the eccentric error of star gear on the bifurcation properties of heringbone star gear transmission tieh floating sun gear[J].Shock and Vibration,2018(4):1-32.
[8]WANG Feng,ZHU Yanlin,FANG Zongde,et al.Theoretical and experimental investigation on the effect of teeth modification on the meshing stiffness of herringbone gear system[J].Journal of Vibration and Shock,2018,37(1):40-46(in Chinese).[王峰,朱彦霖,方宗德,等.齿面修形对人字齿轮啮合刚度影响分析与试验研究[J].振动与冲击,2018,37(1):40-46.]
[9]LIU Haiyan,MA Hongwei,BAI Xiaohui,et al.Discussion on technical process method to improve cutting accuracy of ring gear[J].Coal Mine Machinery,2011,32(6):134-135(in Chinese).[刘海燕,马宏伟,白晓辉,等.提高内齿圈插齿精度的工艺方法[J].煤矿机械,2011,32(6):134-135.]
[10]TANG Jinyuan,LI Youyuan,ZHOU Chao,et al.Relation between CNC bevel gear geneartor spatial errors and machine setting errors[J].Journal of Mechanical Engineering,2009,45(4):148-154(in Chinese).[唐进元,李友元,周超,等.螺旋锥齿轮数控磨齿机机床空间误差与机床调整参数的关系[J].机械工程学报,2009,45(4):148-154.]
[11]YU Chunjian,WANG Mulan,TANG Wencheng.Anlysis of gear setting errors for cylindrical gear accuracy in form grinding[J].Computer Integrated Manufacturing Systems,2017,23(2):305-314(in Chinese).[于春建,汪木兰,汤文成.齿轮装夹位姿误差对成形磨齿精度的影响[J].计算机集成制造系统,2017,23(2):305-314.]
[12]ZHU Shaowei,DINGGuofang,QIN Shengfeng,et al.Integrated geometric error modeling,identification and compensation of CNC machine tools[J].International Journal of Machine Tools&Manufacture,2012,52(1):24-29.
[13]TSUTSUMI M,TONE S,KATO N,et al.Enhancement of geometric accuracy of five-axis machining centers based on identification and compensation of geometric deviations[J].International Journal of Machine Tools&Manufacture,2013,68:11-20.
[14]CHEN Jianxiong,LIN Shuwen,HE Bingwei.Geometric error compensation for multi-axis CNC machines based on differential transformation[J].The International Journal of Advanced Manufacturing Technology,2014,71(1/2/3/4):635-642.
[15]PENG F Y,MA J Y,WANG W,et al.Total differential methods based universal post processing algorithm considering geometric error for multi-axis NC machine tool[J].International Journal of Machine Tools&Manufacture,2013,70:53-62.
[16]CUI Gangwei,LU Yong,LI Jianguang,et al.Geometric error compensation software system for CNC machine tools based on NC program reconstructing[J].The International Journal of Advanced Manufacturing Technology,2012,63(1/2/3/4):169-180.
[17]DING Shuang,HUANG Xiaodiao,YU Chunjian,et al.Novel method for position-independent geometric error compensation of five-axis orthogonal machine tool based on error motion[J].The International Journal of Advanced Manufacturing Technology,2016,83(5/6/7/8):1069-1078.
[18]ZHANG Hu,HUANG Xiaodiao,YUAN Hong,et al.Compensation for tooth profile deviations of gear profile grinding with grinding wheel position[J].Computer Integrated Manufacturing Systems,2013,19(6):1288-1295(in Chinese).[张虎,黄筱调,袁鸿,等.砂轮位置对成形磨齿齿廓偏差的补偿[J].计算机集成制造系统,2013,19(6):1288-1295.]
[19]FANG Chenggang,GONG Jianming,GUO Erkuo,et al.A-nalysis and compensation for gear accuracy with setting error in form grinding[J].Advances in Mechanical Engineering,2014,7(1):309148.DOI:10.1155/2014/309148.
[20]SHINY P,CHEN S D.A flank correction methodology for a five-axis CNC gear profile grinding machine[J].Mechanism and Machine Theory,2012,47(1):31-45.
[21]SHE Chenhua,HUANG Zhaotang.Post-processor development of a five-axis machine tool with nutating head and table configuration[J].The International Journal of Advanced Manufacturing Technology,2008,38(7/8):728-740.
[22]LI Dianxin,ZHANG Jianfu,ZHANG Yunliang,et al.Modeling,identification and compensation for geometric errors of laser annealing table[J].Journal of Central South University,2014,21(3):904-911.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |