两级行星齿轮传动非线性啮合力频率耦合

刘 辉1,2 蔡仲昌3 项昌乐1,2

振动与冲击 ›› 2015, Vol. 34 ›› Issue (19) : 13-23.

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (19) : 13-23.
论文

两级行星齿轮传动非线性啮合力频率耦合

  • 刘 辉1,2    蔡仲昌3  项昌乐1,2 
作者信息 +

Study on Frequency Coupling and Dynamic Characteristics of Meshing Force for Two Stage Planetary gears

  • LIU Hui1,2,  CAI Zhong-chang3,  XIANG Chang-le1,2
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文章历史 +

摘要

利用拉格朗日方程推导了两级行星齿轮传动的平移-扭转非线性振动模型,模型考虑了齿侧间隙、时变啮合刚度及其相位差、综合啮合误差、行星轮位置角时变性以及各行星排级间连接件的弯曲和扭转刚度。从行星排级间连接轴的力与变形耦合关系出发,研究了两个行星排啮合力产生的啮合频率耦合现象。通过数值仿真对不同激励条件下啮合频率耦合的表现形式进行了研究,对不同行星排的动载系数、均载系数、连接轴转矩的动态特性进行了分析,为多级行星齿轮传动系统动力学分析与设计提供指导。

Abstract

On the basis of Lagrange’s equation, a translational - rotational coupling nonlinear dynamic model of two stage planetary gears was established, wherein the backlash, time-varying mesh stiffness and its engaging phase difference, gear mesh composite errors, time-varying planet position angle and torsional and bending stiffness of connector between different stages were considered. According to the relationship between torque of connection shaft and vibration displacements of parts, the meshing frequency coupling phenomenon of mesh force in different stage was studied. When system was under different excitation condition, the forms of meshing frequency coupling were analyzed. At the same time, the dynamic load coefficient and load sharing coefficient of meshing force in different stage, dynamic characteristics of torque of connection shaft were calculated. It provides reference for the design and dynamic analysis of multi-stage planetary gears.
 

关键词

行星齿轮传动 / 非线性 / 啮合力 / 啮频耦合 / 动载系数 / 均载系数

Key words

planetary gears / nonlinear / meshing force / meshing frequency coupling / dynamic load coefficient / load sharing coefficient

引用本文

导出引用
刘 辉1,2 蔡仲昌3 项昌乐1,2 . 两级行星齿轮传动非线性啮合力频率耦合[J]. 振动与冲击, 2015, 34(19): 13-23
LIU Hui1,2, CAI Zhong-chang3, XIANG Chang-le1,2. Study on Frequency Coupling and Dynamic Characteristics of Meshing Force for Two Stage Planetary gears[J]. Journal of Vibration and Shock, 2015, 34(19): 13-23

参考文献

[1] Kahraman A. A Kinematics and Power Flow Analysis Methodology for Automatic Transmission Planetary Gear Trains [J]. Journal of Mechanical Design, 2004, 126(6): 1071-1081.
[2] Joško Deur, Jahan Asgari, Davor Hrovat, et al. Modeling and Analysis of Automatic Transmission Engagement Dynamics-Linear Case [J]. Journal of Dynamic Systems, Measurement, and Control, 2006, 128: 263- 277.
[3] Kiracofe D R, Parker R G. Structured Vibration Modes of General Compound Planetary Gear Systems [J]. Journal of Vibration and Acoustics, 2007, 129:1-16.
[4] Kahraman A. Free Torsional Vibration Characteristics of Compound Planetary Gear Sets[J]. Mechanism and Machine Theory, 2001, 36(6): 953-971.
[5] Yichao Guo, Robert G. Parker. Purely Rotational Model and Vibration Modes of Compound Planetary Gears[J]. Mechanism and Machine Theory, 2010, 45: 365–377.
[6] Yichao Guo, Robert G. Parker. Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters[J]. Journal of Vibration and Acoustics 2010, 132 / 011006.
[7] 李瑰贤,赵永强,常山,等. 船用两级双排斜齿行星齿轮系统动力学方程的建立[J]. 船舶力学,2011,15(5):530-537.
LI Gui-xian, ZHAO Yong-qiang, CHANG Shan, et al. Study on Dynamic Governing Equations of Two Stage Double Helical Tooth Planetary Gear Train Used in Ship[J]. Journal of Ship Mechanics, 2011, 15(5): 530-537. (in Chinese)
[8]蔡仲昌,刘辉,项昌乐,等. 车辆行星传动系统扭转振动固有特性及灵敏度分析[J]. 中国机械工程,2011,22(1):96-101.
CAI Zhong-chang, LIU Hui, XIANG Chang-le, et al. Research on Natural Characteristics and Sensitivity for Torsional Vibration of a Vehicle Multistage Planetary gears[J]. China Mechanical Engineering, 2011, 22(1): 96-101. (in Chinese)
[9] M Inalpolat, A Kahraman. Dynamic modelling of planetary gears of automatic transmissions [J]. Multi-body Dynamics, 2008, 138(222): 229-242.
[10] 蔡仲昌,刘辉,项昌乐,等. 车辆多级行星传动系统强迫扭转振动与动载特性[J]. 吉林大学学报(工学版),2012,42(1):19-26.
CAI Zhong-chang, LIU Hui, XIANG Chang-le, et al. Characteristics of Forced torsional vibration and dynamic load for vehicle multistage planetary transmission[J]. Journal of Jilin University (Engineering and Technology Edition), 2012, 42(1): 19-26. (in Chinese)
[11] 秦大同,肖正明,王建宏. 基于啮合相位分析的盾构机减速器多级行星齿轮传动动力学特性[J]. 机械工程学报,2011,47(23):20-29.
QIN Da-tong, XIAO Zheng-ming, WANG Jian-hong. Dynamic Characteristics of Multi-stage Planetary Gears of Shield Tunnelling Machine Based on Planet Mesh Phasing Analysis[J]. Journal of Mechanical Engineering, 2011, 47(23): 20-29.(in Chinese)
[12] 肖正明,秦大同,王建宏等. 盾构机主减速器三级行星传动系统扭转动力学[J]. 中国机械工程,2010,21(18):2176-2182.
Xiao Zheng-ming, Qin Da-tong, Wang Jian-hong, et al. Study on Torsional Dynamic of 3-stage Planetary Gears of Main Reducer Used in Driving Cutterhead of Shield Tunnelling Machine[J]. China Mechanical Engineering, 2012, 21(18): 2176-2182. (in Chinese)
[13] A Al-shyyab, K Alwidyan, A Jawarneh. Non-linear dynamic behaviour of compound planetary gear trains: model formulation and semi-analytical solution. [J]. Journal of Multi-body Dynamics, 2009, 223:199-210.
[14] 朱自冰,朱如鹏,鲍和云. 两级星型齿轮传动系统非线性动力学研究[J]. 航空动力学报,2007,(22)11: 1963-1970.
ZHU Zi-bing, ZHU Ru-peng, BAO He-yun. Non-linear dynamic study of 2-stage star gear train. Journal of Aerospace Power, 2007,(22)11: 1963-1970. (in Chinese)
[15] 孙智民,沈允文,李素有. 封闭行星齿轮传动系统的动态特性研究[J]. 机械工程学报,2002,38(2):44-48.
Sun Zhi-min, ShenYun-wen, Li Su-you. Study on Dynamic Behavior of Encased Differential Gear Train[J]. Chinese Journal of Mechanical Engineering, 2002, 38(2): 44-48. (in Chinese)
[16] 刘辉, 蔡仲昌,朱丽君,等. 多工况条件下单级行星传动非线性振动特性研究[J]. 兵工学报,2012,33(10):1153-1161.
LIU Hui, AI Zhong-chang, ZHU Li-Jun, et al. Study on Nonlinear Vibration Behavior of Simple Single Stage Planetary Gears in Multiple Work Conditions[J]. Acta Armamentarii, 2012, 33(10): 1153-1161. (in Chinese)
[17] 刘辉,蔡仲昌,项昌乐.发动机激励下行星传动非线性啮合力的动态特性研究[J]. 振动、测试与诊断. 2014, 34(01):83-89.
LIU Hui, CAI Zhong-chang, XIANG Chang-le. Study on Nonlinear Meshing Force Dynamic Behavior of Planetary Gears on Engine Excitation [J]. Journal of Vibration, Measurement & Diagnosis, 2014, 34(01): 83-89. (in chinese)
[18] R. G. Parker, J. Lin. Mesh Phasing Relationships in Planetary and Epicyclic Gears[J]. Journal of Mechanical Design, 2004, 126: 365 -370.

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