NONLINEAR DYNAMIC ANALYSIS OF HIGH SPEED AND HEAVY LOAD HERRINGBONE GEAR TRANSMISSION

被引:0
|
作者
Mo S. [1 ,2 ,3 ]
Zeng Y. [1 ,2 ]
Wang Z. [1 ,2 ]
Zhang W. [1 ,2 ]
机构
[1] State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures, Guangxi University, Nanning
[2] School of Mechanical Engineering, Guangxi University, Nanning
[3] National Key Laboratory of Science and Technology on Helicopter Transmission, Nanjing
关键词
bifurcation and chaos; herringbone gears; nonlinear dynamics; time-varying support stiffness;
D O I
10.6052/0459-1879-23-166
中图分类号
学科分类号
摘要
Herringbone gears have strong bearing capacity, large contact ratio and high reliability, and are mostly used in high-speed and heavy-load working occasions. Exploring the nonlinear dynamic characteristics of high-speed and heavy-duty herringbone gear transmission system and finding out the stable operation interval of the system can provide reference for its design. Firstly, the time-varying meshing stiffness of gear pair is calculated, and the time-varying meshing force is calculated by introducing the backlash, the nonlinear function of backlash and the comprehensive transmission error. The bearing clearance is introduced to calculate the bearing force. Subsequently, the nonlinear dynamic equation of the high-speed and heavy-duty herringbone gear transmission system is established, and the fourth- order Runge-Kutta method is used to solve the equation. Finally, the influence of different factors on the stability of the system is explored. Keeping other parameters of the system unchanged, the meshing damping, backlash, meshing stiffness and excitation frequency are changed respectively. The time-displacement image, time-velocity image, spatial phase diagram, spatial frequency diagram and bifurcation diagram of the system are drawn. The change trend of nonlinear dynamic response of the system is observed and the motion state of the system is judged. The results show that within a certain range, the stability of the system is positively correlated with meshing damping and meshing stiffness, and negatively correlated with the backlash. When the external excitation frequency is gradually increased, the system motion gradually changes from single-cycle motion to chaotic motion, and then returns to stable single-cycle motion. Therefore, in order to ensure the smooth operation of the system, the external excitation frequency should be reasonably selected. © 2023 Chinese Journal of Theoretical and Applied Mechanics Press. All rights reserved.
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页码:2381 / 2392
页数:11
相关论文
共 29 条
  • [1] Xu Xiangyang, Li Long, Ren Bo, Et al., Study on the dynamic characteristics of herringbone planetary gear system with space shafts angle, Journal of Mechanical Engineering, 59, 1, pp. 141-150, (2023)
  • [2] Lin Tengjiao, Chen Menghan, Yang Jin, Calculation method of time-varying meshing stiffness of herringbone gear pair with tooth profile modification, Journal of Vibration and Shock, 40, 9, pp. 175-183, (2021)
  • [3] Zhang Jiaxiong, Wei Jing, Zhang Chunpeng, Et al., Parameter design and dynamic response study of a high-order tuning gear, Journal of Vibration Engineering, 35, 2, pp. 369-378, (2022)
  • [4] Xiao Qian, Wang Danhong, Chen Daoyun, Et al., Analysis of dynamic contact characteristics of high-speed train transmission gear considering the influence of sliding between the teeth, Journal of Mechanical Engineering, 57, 10, pp. 87-94, (2021)
  • [5] Mo Shuai, Zhou Changpeng, Gao Hanjun, Research on dynamic characteristic of electromechanical coupling of robot joint crack transmission system, Journal of Mechanical Engineering, 58, 19, pp. 57-67, (2022)
  • [6] Yuan Bing, Chang Shan, Liu Geng, Et al., Dynamic characteristics of a double helical gear system considering accumulation pitch error, Journal of Vibration and Shock, 39, 3, pp. 120-126, (2020)
  • [7] Mo S, Zhang Y, Luo B, Et al., The global behavior evolution of non-orthogonal face gear-bearing transmission system, Mechanism and Machine Theory, 175, (2022)
  • [8] Mo S, Zhang T, Jin GG, Et al., Analytical investigation on load sharing characteristics of herringbone planetary gear train with flexible support and floating sun gear, Mechanism and Machine Theory, 144, 2, pp. 1-27, (2020)
  • [9] Mo S, Zhang YD, Wu Q., Research on multiple-split load sharing of two-stage star gearing system in consideration of displacement compatibility, Mechanism and Machine Theory, 88, 1, pp. 1-15, (2015)
  • [10] Mo S, Zhang YD, Wu Q, Et al., Research on Natural Characteristics of double-helical star gearing system for GTF aero-engine, Mechanism and Machine Theory, 106, 12, pp. 166-189, (2016)