中心构件浮动对行星传动系统均载特性的影响
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摘要
为探讨2K-H行星齿轮传动系统的均载性能,建立了考虑时变啮合刚度、综合啮合误差等非线性因素的平移-扭转耦合动力学模型,推导了系统的无量纲化18自由度的微分方程组。通过求解微分方程组,分析中心构件的支承刚度以及间隙浮动对行星轮系均载性能的影响。结果表明,在一定范围内,随着中心构件支撑刚度的减小与轴孔间隙的增大,构件的浮动量增大,系统的均载系数减小。
In order to investigate the load-sharing performance of the 2K-H planetary gear transmission system,a translation-torsion coupling dynamics model is established with considering the nonlinear factors of time-varying meshing stiffness and the overall meshing error and so on,the dimensionless differential equations with 18 degrees of freedom of the system are deduced in this model. By solving the differential equations,the influences of the support stiffness of the center component and the clearance floating on the load-sharing performance of the planetary gear train are analyzed. It is shown that the floating amount of the component increases with the reduction of the support stiffness of the center component and the increase of the clearance of the shaft hole within a certain range,the load-sharing factor of the system decreases when the floating amount of the component increases.
In order to investigate the load-sharing performance of the 2K-H planetary gear transmission system,a translation-torsion coupling dynamics model is established with considering the nonlinear factors of time-varying meshing stiffness and the overall meshing error and so on,the dimensionless differential equations with 18 degrees of freedom of the system are deduced in this model. By solving the differential equations,the influences of the support stiffness of the center component and the clearance floating on the load-sharing performance of the planetary gear train are analyzed. It is shown that the floating amount of the component increases with the reduction of the support stiffness of the center component and the increase of the clearance of the shaft hole within a certain range,the load-sharing factor of the system decreases when the floating amount of the component increases.
引文
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[4]DONG H,DUAN L L,ZHANG J A,et al.Load-sharing characteristics of power-split transmission system based on deformation compatibility and loaded tooth contact analysis[J].International Journal of Aerospace Engineering,2015,2015(7):1-11.
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[11]TANG J Y,LIU Y,CAI W X.The principles of selecting floating members of 2K-H planetary gears for load balancing design[J].Proceedings of the Institution of Mechanical Engineers Part C:Journal of Mechanical Engineering Science,2017,231(9):1589-1598.
[12]宋轶民,许伟东,张策,等.2K-H行星传动的修正扭转模型建立与固有特性分析[J].机械工程学报,2006,42(5):16-21.
[13]巫世晶,刘振皓,潜波,等.复合行星齿轮传动系统分岔与混沌特性研究[J].华中科技大学学报,2012,40(2):9-13.
[14]张策.机械动力学[M].北京:高等教育出版社,2014:303-304.
[15]刘文彬,刘更,李阳.串联型行星齿轮传动系统均载特性分析[J].机械传动,2012,36(7):92-95.
[16]董皓,方宗德,王宝宾.两级星型五分支传动静态均载分析[J].重庆大学学报(自然科学版),2016(6):118-126.
[2]KAHRAMAN A.Static load sharing characteristics of transmission planetary gear sets:model and experiment[J].SAE Transactions,1999,108(6):1954-1963.
[3]TSAI S J,YE S Y,HUANG G L.An approach for analysis of load sharing in planetary gear drives with a floating sun gear[C]//Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference,August 28-31,2011,Washington,D C,USA.New York:ASME,c2011:249-258.
[4]DONG H,DUAN L L,ZHANG J A,et al.Load-sharing characteristics of power-split transmission system based on deformation compatibility and loaded tooth contact analysis[J].International Journal of Aerospace Engineering,2015,2015(7):1-11.
[5]陆俊华,朱如鹏,靳广虎.基于分流均衡要求的行星传动基本构件浮动量分析[J].中南大学学报(自然科学版),2008,39(1):143-148.
[6]陆俊华,朱如鹏,靳广虎.行星传动动态均载特性分析[J].机械工程学报,2009,45(5):85-90.
[7]李阳,刘光磊,刘更,等.基于间隙浮动的行星齿轮传动系统静力学均载分析[J].机械科学与技术,2009,28(8):1115-1120.
[8]袁茹,王三民,沈允文.行星齿轮传动的功率分流动态均衡优化设计[J].航空动力学报,2000,15(4):410-412.
[9]杜进辅,方宗德,王宝宾,等.基于变形协调的行星齿轮传动系统均载特性研究[J].航空动力学报,2012,27(5):1166-1171.
[10]董皓,方宗德,王宝宾,等.基于变形协调和间隙浮动的双路功率分流系统均载特性分析[J].航空动力学报,2013,28(4):872-877.
[11]TANG J Y,LIU Y,CAI W X.The principles of selecting floating members of 2K-H planetary gears for load balancing design[J].Proceedings of the Institution of Mechanical Engineers Part C:Journal of Mechanical Engineering Science,2017,231(9):1589-1598.
[12]宋轶民,许伟东,张策,等.2K-H行星传动的修正扭转模型建立与固有特性分析[J].机械工程学报,2006,42(5):16-21.
[13]巫世晶,刘振皓,潜波,等.复合行星齿轮传动系统分岔与混沌特性研究[J].华中科技大学学报,2012,40(2):9-13.
[14]张策.机械动力学[M].北京:高等教育出版社,2014:303-304.
[15]刘文彬,刘更,李阳.串联型行星齿轮传动系统均载特性分析[J].机械传动,2012,36(7):92-95.
[16]董皓,方宗德,王宝宾.两级星型五分支传动静态均载分析[J].重庆大学学报(自然科学版),2016(6):118-126.