Influence of torsional stiffness on load sharing characteristics of power split transmission system
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摘要: 考虑齿侧间隙、齿轮副间的时变啮合刚度、齿轮偏心误差、轴的扭转以及支撑刚度等,构建了面齿轮-圆柱齿轮两次功率分流传动的动力学模型。利用传动构型的力封闭特点以及将轴的扭转角位移当量转化成线位移的方法,消除了系统方程中的刚体位移。采用Runge-Kutta数值仿真法求解了动力学方程,获得了传动系统的均载系数,并研究了各传动轴扭转刚度对均载系数的影响。结果表明:输入、输出轴的扭转刚度对系统各传动级均载特性几乎没有影响;均载系数对左、右分扭轴和双联轴的扭转刚度较敏感。在双联轴满足强度要求且扭转刚度取较小值时,左、右分扭轴扭转刚度的合理匹配可进一步提高系统的动力学均载特性。Abstract: Considering factors such as the backlash, time-variant mesh stiffness, eccentricity errors, shaft torsion and support stiffness, a dynamic model of the system was developed. The rigid body displacement in the kinetic equation was eliminated by using the force closure feature of the transmission configuration and the method of converting the torsional angular displacement equivalent of the shaft into a linear displacement. The dynamic equations were solved by Runge-Kutta numerical simulation method, and the load-sharing coefficients of the system were obtained. The influence of the torsional stiffness of transmission shaft on the load sharing performance was studied. Results showed that torsional stiffness of input shaft and output shaft had little influence on load sharing performance of each transmission stage of the system; the load sharing coefficients were sensitive to the torsional stiffness of the compound shaft and the spilt torque shafts. Once the compound shaft met the strength requirement and the torsional stiffness took a small value, rationally configuring the torsional stiffness of left-branch and right-branch spilt torque shafts can improve dynamic load sharing performance of system.
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[1] HEATHG F,BOSSLER J R B.Advanced rotorcraft transmission(ART) program-final report[R].NASA CR-191057,1993. [2] HANDSCHUH R E,LEWICKI D G,HEATH G F,et al.Experimental evaluation of face gears for aerospace drive system applications[R].NASA TM-107227,1996. [3] WHITE G.New family of high-ratio reduction gear with multiple drive paths[J].Proceedings of the Institution of Mechanical Engineers,1974,188(1):281-288. [4] WHITE G.Design study of a 375kW helicopter transmission with split-torque epicyclic and bevel drive stages[J].Journal of Mechanical Engineering Science,1983,197(4):213-224. [5] WHITE G.Design study of a split-torque helicopter transmission[J].Journal of Aerospace Engineering,1998,212(2):117-123. [6] SEGADE R A,VILN V J A,LPEZ L M,et al.Split torque gearboxes: requirements, performance and applications[J].Mechanical Engineering,2012,58:56-74. [7] KISH J G.Sikorsky aircraft advanced rotorcraft transmission (ART) program-final report[R].NASA CR-191079,1993. [8] MAJID R,TIMOTHY K.Dynamics of a split torque helicopter transmission[R].NASA TM-105681,1992. [9] KRANTZ T L.Dynamics of a split torque helicopter transmission[R].NASA TM-106410,1994. [10] KRANTZ T L.A method to analyze and optimize the load sharing of split path transmissions[R].NASA TM-107201,1996. [11] KRANTZ T L,DELGADO I R.Experimental study of split-path transmission load sharing[R].NASA TM-107202,1996. [12] COCKING H.The design of an advanced engineering gearbox[J].Vertica,1986,10(2):213-225. [13] SMIRNOV G.Multiple-power-path nonplanetary main gearbox of the Mi-26 heavy-lift transport helicopter[J].Vertiflite,1990,36(3):20-23. [14] WHITE G.Design study of a split-torque helicopter transmission[J].Journal of Aerospace Engineering,1998,212(2):117-123. [15] YURIY G,SHULIN H,GREGORY B,et al.Load sharing test of the CH-53K split torque main gearbox[C]∥Proceedings of the American Helicopter Society 65th Annual Forum.Grapevine,Texas,USA:the American Helicopter Society International Incorporation,2009:977-986. [16] YURIY G,WOOD B.Multi-path rotary wing aircraft gearbox:US7918146B2[P].2011-04-05. [17] YURIY G,MATTHEW A,PETER P,et al.Design and development of a modern transmission:baseline configuration of the CH-53K drive system[C]∥Proceedings of American Helicopter Society 67th Annual Forum.Virginia Beach,Virginia,USA:the American Helicopter Society International Incorporation,2011:2323-2334. [18] 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.DONG Hao,FANG Zongde,WANG Baobin,et al.Load sharing characteristics analysis of power split system based on deflection compatibility and clearance floating[J].Journal of Aerospace Power,2013,28(4):872-877.(in Chinese) [19] 李楠,王三民,杜佳佳.功率四分支齿轮传动系统的固有特性与动载系数[J].航空动力学报,2013,28(2):445-451.LI Nan,WANG Sanmin,DU Jiajia,et al.Natural characteristics and dynamic load coefficient of power from embranchments gear transmission[J].Journal of Aerospace Power,2013,28(2):445-451.(in Chinese) [20] 桂永方,朱如鹏,扶碧波,等.扭转刚度对双输入齿轮分流传动系统动力学均载系数的影响[J].航空动力学报,2014,29(9):2265-2268.GUI Yongfang,ZHU Rupeng,FU Bibo,et al.Impact of torsional stiffness on dynamic load sharing of cylindrical gear split-torque transmission system[J].Journal of Aerospace Power,2014,29(9):2265-2268.(in Chinese) [21] FU C,ZHAO N,ZHAO Y.Load sharing multi-objective optimization design of a split torque helicopter ransmission[EB/OL].[2015-5-18].http:∥dx.doi.org/10.1155/2015/381010. [22] JIN G H,XIONG Y P,GUI Y F,et al.Sensitive parameter and its influence law on load sharing performance of double input split torque transmission system[J].Journal of Vibration Engineering and Technologies,2017,5(6):584-595. [23] JING H,YANG H Y,ZHU R P.Tooth surface friction and its influence on dynamic transmission error of double power input transmission system[J].Journal of Vibroengineering,2018,20(5):1937-2901. [24] 陈广艳,陈国定,李永祥,等.含有面齿轮的传动系统动态响应特性研究[J].航空动力学报,2009,24(10):2391-2396.CHEN Guangyan,CHEN Guoding,LI Yongxiang,et al.Dynamic response analysis of gear drive with face-gears[J].Journal of Aerospace Power,2009,24(10):2391-2396.(in Chinese) [25] HU Z,TANG J,CHEN S,et al.Effect of mesh stiffness on the dynamic response of face gear transmission system[J].Journal of Mechanical Design,2013,135(7):071005.1-071005.7. [26] 雷敦财,唐进元.一种面齿轮传动时变啮合刚度数值计算方法[J].中国机械工程,2014,25(17):2300-2304.LEI Duncai,TANG Jinyuan.A calculation method of mesh stiffness for face gear transmission system[J].China Mechanical Engineering,2014,25(17):2300-2304.(inChinese) [27] 杨振,王三民,范叶森,等.正交面齿轮传动系统非线性振动特性研究[J].振动与冲击,2010,29(9):218-221.YANG Zhen,WANG Sanmin,FAN Yesen,et al.Nonlinear dynamics of face-gear transmission system[J].Journal of Vibration and Shock,2010,29(9):218-221.(in Chinese) [28] 王延忠,唐文,兰州,等.基于载荷当量安装误差的面齿轮振动特性[J].航空动力学报,2018,33(4):989-998.WANG Yanzhong,TANG Wen,LAN Zhou,et al.Vibration characteristic for face gear based on load equivalent installation errors[J].Journal of Aerospace Power,2018,33(4):989-998.(in Chinese) [29] 靳广虎.正交面齿轮传动的强度及动力学特性分析研究[D].南京:南京航空航天大学,2012.JIN Guanghu.Research on strength and dynamic characteristics of orthogonal face gear drives[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2012.(in Chinese) [30] 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.ZHU Zengbao,ZHU Rupeng,BAO Heyun,et al.Impact of run out and meshing frequency errors on dynamic load-sharing for encased differential herringbone train[J].Journal of Aerospace Power,2011,26(11):2601-2609.(in Chinese) [31] 任薇.面齿轮-圆柱齿轮两次分流传动系统的设计及均载特性研究[D].南京:南京航空航天大学,2017.REN Wei.Design and load sharing analysis of twice split-torque transmission system with face gears and cylindrical gears[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2017.(in Chinese)
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