以鱼雷涡轮机减速器中的功率三分支齿轮系统为研究对象,分析了多轴输出条件下系统的静力学和动力学特性。采用广义有限元法,将系统划分为轴段单元、啮合单元和轴承单元,建立了考虑各构件柔性的系统整体动力学模型。分析了不同参数对各齿轮副静态啮合力的影响规律,并计算了系统的动态响应。结果表明,在某支路添加辅机负载后,将导致分流/汇流级的载荷不均;提高两级间连接轴或轴承的刚性,会增加相应支路的啮合力;辅机齿轮安装相位会对各分支的啮合力产生周期性影响。添加辅机输出后,对分流/汇流级各分支的振动有着不同的影响。研究结论将会对多负载的功率分支齿轮系统静力学和动力学设计提供有效参考。
关键词:齿轮;功率三分支;静力学分析;动力学分析;多负载
Abstract
Taking the power tri-branching gear system of torpedo turbine reducer as the object, the static and dynamic characteristics of the system with multiple outputs were analyzed. By using the generalized finite element method, the system was divided into shaft element, meshing element and bearing element, and then the overall dynamic model of the system considering the flexibility of each component was established. The influence of different parameters on the static meshing force of each gear pair was analyzed, and the dynamic responses of the system were calculated. The results showed that when the auxiliary load is added to a branch, the loads of the split / confluence stage will become uneven. Increasing the rigidity of the connecting shafts or bearings between two stages will increase the meshing force of the corresponding branch. The installation phase of the auxiliary gear will have a periodic effect on the meshing force of all branches. After adding the auxiliary output, the vibration of each branch for split and confluence stage is affected differently. The results will provide effective references for the static and dynamic design of multi-load power branching gear system.
Key words:Gear; power tri-branching; static analysis; dynamic analysis; multiple outputs
关键词
齿轮 /
功率三分支 /
静力学分析 /
动力学分析 /
多负载
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Key words
Gear /
power tri-branching /
static analysis /
dynamic analysis /
multiple outputs
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参考文献
[1] Heath G. F. and Bossler R.B.. Advanced Rotorcraft Transmission (ART) Program-Final Report. NASA CR-191057, ARL-CR-4, 1993.
[2] Kish J. G. Sikorsky Aircraft Advanced Rotorcraft Transmission (ART) Program-Final Report. NASA CR-191079, ARL-CR-49, 1993.
[3] 余放, 王明为等. 舰船减速齿轮装置的加工与设计[M]. 北京: 国防工业出版社, 2009.
Yu Fang,Wang Mingwei. Processing and design of marine gear unit[M]. Beijing:National Defense Industry Press,2009.
[4] Krantz TL. Dynamics of a split torque helicopter transmission[R]. NASA TM-106410, 1994.
[5] Krantz TL. A method to analyze and optimize the load sharing of split path transmissions[R]. NASA TM-107201, 1996.
[6] Krantz TL, Delgado IR. Experimental study of split-path transmission load sharing[R]. NASA TM-107202, 1996.
[7] Gmirya Y, He S, Buzel G. Load sharing test of the CH-53K split torque main gearbox[C]. The American Helicopter Society 65th Annual Forum. The American Helicopter Society International, Grapevine Texas, May27-29. 2009: 977-986.
[8] Jose A, Abraham R. Feasible geometrical configurations for split torque gearboxes with idler pinions[J]. ASME Journal of Mechanical Design, 2010, 132(12): 121011.
[9] 董皓, 方宗德, 王宝宾. 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 Zong-de,WNAG Bao-bin,DU Jin-fu. 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.
[10] 桂永方, 朱如鹏, 靳广虎. 间隙非线性齿轮分流传动系统动力学与均载特性分析[J]. 振动与冲击, 2014, 33(18):178-182.
GUI Yong-fang, ZHU Ru-peng, JIN Guang-hu, LI Zhi-jun. Dynamic and load sharing characteristic analysis of a nonlinear cylindrical gear split-torque transmission system with backlash[J]. Journal of Vibration and Shock, 2014, 33(18):178-182.
[11] 赵宁, 张蒙祺, 周如传,李旺. 功率分流齿轮传动系统均载性能的影响因素研究[J]. 南京航空航天大学学报, 2016, 48(06):802-807.
Zhao Ning, Zhang Mengqi , Zhou Ruchuan, Li Wang. Influencing Factors of Load-Sharing in Split Path Gear Transmission System[J]. Journal of Nanjing University of Aeronautics &Astronautics, 2016, 48(06):802-807.
[12] 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(02):445-451.
LI Nan, WANG San-rain, DU Jia-jia. Natural characteristics and dynamic load coefficient of power four embranchments gear transmission[J]. Journal of Aerospace Power, 2013, 28(02):445-451.
[13] 董皓, 王宝宾, 方舟,赵晓龙. 安装误差对功率三分支传动均载特性的影响[J]. 机械传动, 2016(5):1-4.
Dong Hao, Wang Baobin, Fang Zhou, Zhao Xiaolong. Effect of Installation Error on the Load Sharing Characteristic of Power Three-branching Transmission[J]. Journal of Mechanical Transmission, 2016(5):1-4.
[14] 常乐浩. 平行轴齿轮传动系统动力学通用建模方法与动态激励影响规律研究[D]. 西北工业大学, 2014.
CHANG Lehao.A Generalized Dynamic Model for Parallel Shaft Gear Transmissions and the Influences of Dynamic Excitations[D]. Northwestern Polytechnical University,2014.
[15] 常乐浩, 贺朝霞, 刘岚等.一种确定斜齿轮传递误差和啮合刚度的快速有效方法[J].振动与冲击, 2017, 36(06): 157-162+174.
CHANG Lehao, HE Zhaoxia, LIU Lan, LIU Qingtao. Express method for determining the transmission error and mesh stiffness of helical gears[J]. Journal of Vibration and Shock,2017, 36(06): 157-162+174.
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