Nonlinear Resonance of Mini Type Large Transmission Ratio Movable Tooth Drive System

被引：0
作者：
Li C. [1 ,2 ]
Xing J. [3 ]
Fang J. [1 ,2 ]
Zhao Z. [1 ,2 ]
机构：
[1] School of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang
[2] Jiangsu Provincial Key Laboratory of Advanced Manufacturing for Marine Mechanical Equipment, Jiangsu University of Science and Technology, Zhenjiang
[3] School of Mechanical Engineering, Yanshan University, Qinhuangdao
来源：
Zhendong Ceshi Yu Zhenduan/Journal of Vibration, Measurement and Diagnosis | 2019年 / 39卷 / 01期
关键词：
Harmonic balance method; Large transmission ratio; Movable tooth drive; Nonlinear resonance; The regular perturbation method;
D O I：
10.16450/j.cnki.issn.1004-6801.2019.01.015
中图分类号：
学科分类号：
摘要：
In order to apply the movable tooth drive in precision drive field, a mini type large transmission ratio movable tooth system is designed. Based on an elastic dynamic theory of planetary gear drive, the dynamic model of movable tooth system is established. Considering the nonlinear effect caused by the changing of meshing tooth number, the nonlinear dynamic equations of the movable tooth system are built. The nonlinear amplitude-frequency relationship and resonance equations are deduced with the harmonic balance method and the the perturbation method. Besides, the amplitude-frequency curve changes with parameters and the resonance response laws under different multiplicity frequency are analyzed with the two sets given parameters. Results show that the damping coefficient ζ and the amount of meshing movable teeth f have a large impact on an amplitude-frequency curve, and the system resonance is prominent when ωe≈ω1 and ωe≈1/2ω1. So, in order to reduce vibration and improve stationarity of the system, a small number of the movable tooth and small offset of wave generator is necessary. The results lay a theoretical foundation for modifying the structure and improving transmission efficiency of the movable tooth system. © 2019, Editorial Department of JVMD. All right reserved.
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页码：95 / 101and223and224
相关论文
共 12 条
  • [1] Wang G., Lai Y., Fan D., Et al., Summary of new type precision transmission design and manufacture, China Mechanical Engineering, 21, 16, pp. 1891-1897, (2010)
  • [2] Yi Y., An Z., Research on digital design and manufacture technology of rolling swing movable teeth transmission, Applied Mechanics and Materials, 86, pp. 370-373, (2011)
  • [3] Zhou J., Chen Z., Creative design of movable tooth gear drives, Chinese Journal of Mechanical Engineering: English Edition, 17, pp. 98-101, (2004)
  • [4] Zhao C., Liang S., Zhang J., Tooth profile analysis and simulation of the two-tooth defference swing-rod movable teeth transmission, Journal of Sichuan University: Engineering Science Edition, 47, pp. 151-157, (2015)
  • [5] Liu D., Ren T., Zhang Y., Transmission theory and typical structure of nonuniform mechanism with movable teeth, Journal of Mechanical Engineering, 50, 1, pp. 47-54, (2014)
  • [6] Li J., Su J., Chen X., Et al., Tooth profile equation and interference analysis of the two-tooth difference steel ball movable tooth transmission, Journal of Beijing University of Technology, 40, 5, pp. 641-647, (2014)
  • [7] Li C., Xu L., Non-linear primary resonance of driving system for a harmonic piezoelectric motor, Journal of Vibration, Measurement & Diagnosis, 36, 3, pp. 575-579, (2016)
  • [8] Liang S., Zhang J., Xu L., Et al., Dynamic model of swing movable teeth transmission system vibration, Journal of Vibration Engineering, 16, 3, pp. 285-289, (2003)
  • [9] Jin X., Yu G., Guan X., Torsion dynamics of aviation micro cylinder sine oscillating tooth system, Journal of North University of China: Natural Science Edition, 28, 4, pp. 299-303, (2007)
  • [10] An Z., Gao F., Torsion vibration analysis and modeling research on swing-rod movable teeth transmission, Machine Design and Research, 23, 3, pp. 79-81, (2007)
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