闭环齿轮传动系统受力特性分析
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摘要
针对闭环齿轮传动系统的结构特点,建立了啮合齿轮的传动方向角、啮合线方向角和啮合线夹角的计算通式。通过分析整个传动系统齿轮啮合线夹角的分布特点,研究了闭环齿轮传动系统齿轮轴的受载规律。建立了闭环齿轮传动系统的静力学模型,根据系统功率流闭环的特点,给出了系统的变形协调条件;结合力矩平衡方程和弹性支撑条件,给出了各支路传递的转矩、各齿轮轴所受的载荷及系统均载系数的计算方法。实例分析表明:即使在无制造和安装误差的理想情况下,闭环齿轮传动系统仍然会出现载荷分配不均匀的现象,并且齿轮轴受载具有大小交替分布的规律。该研究解释了编织机特定位置轴承故障率高的原因,并为闭环齿轮传动系统的轴承选择和校核提供了依据。
According to the structural characteristics of closed-loop gear transmission system,the formulas of the transmission direction angle,the meshing line direction angle and the meshing line angle of meshing gears are formulated. Based on the analysis on the distribution law of meshing line angles on the closed-loop gear transmission system,the mechanical law of gear shaft is illustrated. The statics model of closed-loop gear transmission system is set up. According to the closed-loop characteristic of system power flow,the conditions of deformation coordination are identified. The calculation methods of the transfer torque,the load of gear shaft and the system's load-sharing coefficient are put forward,in conjunction with the mechanical equilibrium equations and the elastic supporting conditions. The examples show that the closed-loop gear transmission system suffers uneven distribution of load,even under the ideal conditions free from any manufacturing and installation errors. The load of gear shaft has an alternant law of distribution. This study explains the high bearing-failure rate at the specific locations of braiding machine,and provides reference for bearing selection and calibration of closed-loop gear transmission system.
According to the structural characteristics of closed-loop gear transmission system,the formulas of the transmission direction angle,the meshing line direction angle and the meshing line angle of meshing gears are formulated. Based on the analysis on the distribution law of meshing line angles on the closed-loop gear transmission system,the mechanical law of gear shaft is illustrated. The statics model of closed-loop gear transmission system is set up. According to the closed-loop characteristic of system power flow,the conditions of deformation coordination are identified. The calculation methods of the transfer torque,the load of gear shaft and the system's load-sharing coefficient are put forward,in conjunction with the mechanical equilibrium equations and the elastic supporting conditions. The examples show that the closed-loop gear transmission system suffers uneven distribution of load,even under the ideal conditions free from any manufacturing and installation errors. The load of gear shaft has an alternant law of distribution. This study explains the high bearing-failure rate at the specific locations of braiding machine,and provides reference for bearing selection and calibration of closed-loop gear transmission system.
引文
[1]张平,桂良进,范子杰.编织复合材料圆管准静态轴向压缩吸能特性的试验研究[J].复合材料学报,2007,24(1):146-150.
[2]顾大强,聂林.塑胶压力软管增强层编织机[J].纺织学报,2006,27(1):86-88.
[3]王洪欣,张爱淑,唐大放,等.菱形金属网编织机的功率计算[J].中国矿业大学报,1993,22(4):84-90.
[4]王立鼎,凌四营,马勇,等.精密、超精密圆柱渐开线齿轮的加工方法[J].光学精密工程,2009,17(2):321-326.
[5]刘文吉,宋朝省,洪英. NN型少齿差行星齿轮传动啮合冲击分析及修形设计[J].中国机械工程,2012,23(4):425-429.
[6]李大庆,邓效忠,魏冰阳,等.基于小轮磨齿修形的面齿轮接触性能分析[J].中国机械工程,2012,23(8):992-996.
[7] Kahraman A. Load sharing characteristics of planetary trans-missions[J]. Mechanism&Machine Theory,1994,29(8):1151-1165.
[8] Kahraman A. Static load sharing characteristics of transmis-sion planetary and experiment[J]. Society of Automotive Engi-neers,1999,36:1954-1963.
[9] Bodas A,Kahraman A. Influence of carrier and gear manu-facturing errors on the static load sharing behavior of plane-tary gear sets[J]. Jsme International Journal,2004,47(3):908-915.
[10]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.
[11]巫世晶,彭则明,王晓笋,等.啮合误差对复合行星轮系动态均载特性的影响[J].机械工程学报,2015,51(3):29-36.
[12]朱增宝,朱如鹏,鲍和云,等.偏心与齿频误差对封闭差动人字齿轮传动系统动态均载特性的影响分析[J].航空动力学报,2011,26(11):2601-2609.
[13]董皓,方宗德,杜进辅.双路功率分流传动系统的静态均载特性分析[J].哈尔滨工业大学学报,2013,45(9):94-99.
[14] Kish J G. Sikorsky aircraft advanced rotorcraft transmission(ART)program-final report[R]. NASA Lewis Research Cen-ter,NASA CR 191079,Cleveland,1993.
[15] Timothy L K,Irebert R D. A method to analyze and optimizeload sharing of split path transmission[R]. NASA Lewis Re-search Center,NASA TM 107201,Cleveland,1996.
[16] White G. Design study of a split-torque helicopter transmis-sion[J]. Proc IMech E,Part G:Journal of Aerospace Engi-neering,1998,212(2):117-123.
[2]顾大强,聂林.塑胶压力软管增强层编织机[J].纺织学报,2006,27(1):86-88.
[3]王洪欣,张爱淑,唐大放,等.菱形金属网编织机的功率计算[J].中国矿业大学报,1993,22(4):84-90.
[4]王立鼎,凌四营,马勇,等.精密、超精密圆柱渐开线齿轮的加工方法[J].光学精密工程,2009,17(2):321-326.
[5]刘文吉,宋朝省,洪英. NN型少齿差行星齿轮传动啮合冲击分析及修形设计[J].中国机械工程,2012,23(4):425-429.
[6]李大庆,邓效忠,魏冰阳,等.基于小轮磨齿修形的面齿轮接触性能分析[J].中国机械工程,2012,23(8):992-996.
[7] Kahraman A. Load sharing characteristics of planetary trans-missions[J]. Mechanism&Machine Theory,1994,29(8):1151-1165.
[8] Kahraman A. Static load sharing characteristics of transmis-sion planetary and experiment[J]. Society of Automotive Engi-neers,1999,36:1954-1963.
[9] Bodas A,Kahraman A. Influence of carrier and gear manu-facturing errors on the static load sharing behavior of plane-tary gear sets[J]. Jsme International Journal,2004,47(3):908-915.
[10]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.
[11]巫世晶,彭则明,王晓笋,等.啮合误差对复合行星轮系动态均载特性的影响[J].机械工程学报,2015,51(3):29-36.
[12]朱增宝,朱如鹏,鲍和云,等.偏心与齿频误差对封闭差动人字齿轮传动系统动态均载特性的影响分析[J].航空动力学报,2011,26(11):2601-2609.
[13]董皓,方宗德,杜进辅.双路功率分流传动系统的静态均载特性分析[J].哈尔滨工业大学学报,2013,45(9):94-99.
[14] Kish J G. Sikorsky aircraft advanced rotorcraft transmission(ART)program-final report[R]. NASA Lewis Research Cen-ter,NASA CR 191079,Cleveland,1993.
[15] Timothy L K,Irebert R D. A method to analyze and optimizeload sharing of split path transmission[R]. NASA Lewis Re-search Center,NASA TM 107201,Cleveland,1996.
[16] White G. Design study of a split-torque helicopter transmis-sion[J]. Proc IMech E,Part G:Journal of Aerospace Engi-neering,1998,212(2):117-123.