基于误差耦合补偿的多级齿轮传动系统传动精度研究
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摘要
为有效且经济地提高多级齿轮传动系统的传动精度,建立了基于误差耦合补偿原理的多级齿轮传动系统传动精度模型;然后运用数值分析方法计算多级齿轮传动系统传动精度,分析求解出系统耦合传动精度值最小时各偏心误差对应的初相角;再利用蒙特卡洛法分别计算各构件随机装配和提高部分零部件加工精度等级两种情况下系统的传动精度;最后对比分析以上3种情况下的系统传动精度,结果显示,运用数值分析方法可提高多级齿轮传动系统的传动精度,验证了该方法的可行性和有效性。
In order to improve the transmission accuracy of the multistage gear transmission system effectively and economically,the transmission accuracy model of the multistage gear drive system based on the theory of error coupling compensation is established. A numerical analysis method is used to calculate the transmission accuracy of the multistage gear transmission system,and the corresponding initial phase of eccentric error is analyzed when the system coupling transmission accuracy is aimed at the minimum transmission accuracy. Then,the system transmission accuracies are both calculated by the Monte Carlo method when it is under the random assembly of the components and it is improved machining accuracy of some parts. Finally,by comparing and analyzing the transmission accuracy under the three situations,the results show that the transmission accuracy of the multistage gear transmission system is improved with the numerical analysis method,which verifies that the method is feasible and valid.
In order to improve the transmission accuracy of the multistage gear transmission system effectively and economically,the transmission accuracy model of the multistage gear drive system based on the theory of error coupling compensation is established. A numerical analysis method is used to calculate the transmission accuracy of the multistage gear transmission system,and the corresponding initial phase of eccentric error is analyzed when the system coupling transmission accuracy is aimed at the minimum transmission accuracy. Then,the system transmission accuracies are both calculated by the Monte Carlo method when it is under the random assembly of the components and it is improved machining accuracy of some parts. Finally,by comparing and analyzing the transmission accuracy under the three situations,the results show that the transmission accuracy of the multistage gear transmission system is improved with the numerical analysis method,which verifies that the method is feasible and valid.
引文
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[7]王成,方宗德,郭琳琳,等.人字齿轮齿廓修形优化设计与试验研究[J].西北工业大学学报,2010,28(2):224-227.
[8]王星,方宗德,牟彦铭,等. HGT准双曲面齿轮承载传动误差的优化设计[J].振动与冲击,2017,36(8):34-40.
[9]王峰,方宗德,李声晋,等.考虑安装误差的摆线齿准双曲面齿轮轮齿接触分析[J].农业机械学报,2012,43(9):213-218.
[10]袁冰,常山,吴立言,等.对角修形对斜齿轮系统准静态及动态特性的影响研究[J].西北工业大学学报,2017,35(2):232-239.
[11]邓效忠,徐爱军,张静,等.齿距啮合偏差对准双曲面齿轮传动误差的影响[J].航空动力学报,2013,28(3):597-602.
[12]邓效忠,徐爱军,张静,等.基于时标域频谱的齿轮传动误差分析与试验研究[J].机械工程学报,2014,50(1):85-90.
[13]邹帅东,王光建.双齿轮偏心的传动误差计算与研究[J].电子科技大学学报,2017,46(6):955-960.
[14]李炜,刘明光,田浩,等.隔离开关传动机构的误差分析与研究[J].高压电器,2018,54(3):32-36.
[15]王朝兵,陈小安,陈宏,等.误差随机性对行星齿轮系传动精度的影响特性[J].重庆大学学报,2012,35(9):41-47.
[16]王朝兵,陈小安,李云松,等.行星齿轮传动误差的耦合补偿研究[J].农业机械学报,2013,44(8):287-292.
[17] LI S T. Effects of machining errors,assembly errors and tooth modifications on loading capacity,load-sharing ratio and transmission error of a pair of spur gears[J]. Mechanism&Machine Theory,2007,42(6):698-726.
[18]日高照晃,杉本信行,石田武.行星齿轮装置均载机构中的各种误差和载荷分配的关系[C]∥日本机械学会论文集:C编,1986,52(480):2200-2206.
[2] WANG Xiaochun,WU Lianyin,LI Bin,et al. Study on kinematics transformation from traditional machine tool to free-form ones based on spatial kinematics[J]. Chinese Journal of Mechanical Engineering,2001,37(4):93-98.
[3]苏进展,方宗德,崔艳梅.弧线齿面齿轮齿面接触分析[J].航空学报,2011,32(3):546-551.
[4] LITVINFF L,LU J. Computerized design and generation of double circular-arc helical gears with low trans-mission errors[J]. Computer Methods in Applied Mechanics and Engineering,1995,127:57-76.
[5] LITVIN F L,GONZALEZPEREZ I,FUENTES A,et al. Topology of modified surfaces of involute helical gears with line contact developed for improvement of bearing contact,reduction of transmission errors,and stress analysis[J]. Mathematical and Computer Modelling,2005,42:1063-1078.
[6] HIDAKA T,WANG HONGYOU,ISHIDA T,et al. Rotational transmission error of K-H-V planetary gears with cycloid gear(1st report,analytical method of the rotational transmission error)[J].Japanese Mechanical Academic Society Collection:C,1994,60(570):645-653.
[7]王成,方宗德,郭琳琳,等.人字齿轮齿廓修形优化设计与试验研究[J].西北工业大学学报,2010,28(2):224-227.
[8]王星,方宗德,牟彦铭,等. HGT准双曲面齿轮承载传动误差的优化设计[J].振动与冲击,2017,36(8):34-40.
[9]王峰,方宗德,李声晋,等.考虑安装误差的摆线齿准双曲面齿轮轮齿接触分析[J].农业机械学报,2012,43(9):213-218.
[10]袁冰,常山,吴立言,等.对角修形对斜齿轮系统准静态及动态特性的影响研究[J].西北工业大学学报,2017,35(2):232-239.
[11]邓效忠,徐爱军,张静,等.齿距啮合偏差对准双曲面齿轮传动误差的影响[J].航空动力学报,2013,28(3):597-602.
[12]邓效忠,徐爱军,张静,等.基于时标域频谱的齿轮传动误差分析与试验研究[J].机械工程学报,2014,50(1):85-90.
[13]邹帅东,王光建.双齿轮偏心的传动误差计算与研究[J].电子科技大学学报,2017,46(6):955-960.
[14]李炜,刘明光,田浩,等.隔离开关传动机构的误差分析与研究[J].高压电器,2018,54(3):32-36.
[15]王朝兵,陈小安,陈宏,等.误差随机性对行星齿轮系传动精度的影响特性[J].重庆大学学报,2012,35(9):41-47.
[16]王朝兵,陈小安,李云松,等.行星齿轮传动误差的耦合补偿研究[J].农业机械学报,2013,44(8):287-292.
[17] LI S T. Effects of machining errors,assembly errors and tooth modifications on loading capacity,load-sharing ratio and transmission error of a pair of spur gears[J]. Mechanism&Machine Theory,2007,42(6):698-726.
[18]日高照晃,杉本信行,石田武.行星齿轮装置均载机构中的各种误差和载荷分配的关系[C]∥日本机械学会论文集:C编,1986,52(480):2200-2206.