Dynamic characteristic analysis of a single-stage spur gear system in two-parameter plane

被引：0
|
作者：
Tian Y.-P. [1 ]
Chu Y.-D. [1 ,2 ]
Rao X.-B. [1 ]
机构：
[1] School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou
[2] Key Laboratory of System Dynamics and Reliability of Rail Transport Equipment of Gansu Province, Lanzhou Jiaotong University, Lanzhou
来源：
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering | 2018年 / 31卷 / 02期
关键词：
Dynamic characteristics; Nonlinear vibration; PNF method; Single-stage spur gear system; Two-parameter plane;
D O I：
10.16385/j.cnki.issn.1004-4523.2018.02.004
中图分类号：
学科分类号：
摘要：
In order to reveal the coupling relationship among bifurcation, gear meshing impact, tooth separation, tooth back-side contact and dynamic load coefficient (DLC) of the nonlinear gear system, the pseudo color maps of the meshing impact and period, duty cycle of the mesh apart (DC1), duty cycle of the tooth back-side contact (DC2) and DLC for a single stage gear system are obtained by Poincaré-Newton-Fouquet (PNF) and the continuation numerical calculation method in the time-varying meshing stiffness amplitude coefficient (TVMSA) and dimensionless frequency two parameters plane. Research shows that the TVMSA and resonance frequency are main factors for bifurcation, gear meshing impact and DLC of the gear system. With the increase of TVMSA, the system's periodic motion turns to chaos by the way of period-doubling, Hopf, crisis, grazing, saddle node bifurcation and the DC1, DC2 and DLC increase. Meanwhile, the chaos, quasi periodic motion and meshing impact phenomenon appear near the resonant frequency, in which the DC1, DLC reach the extreme values. The dynamic characteristics transitions laws can provide the theoretical reference for the optimization of the gear structure parameter. © 2018, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.
引用
收藏
页码：219 / 225
页数：6
相关论文
共 17 条
  • [1] Kahraman A., Singh R., Non-linear dynamics of a spur gear pair, Journal of Sound and Vibration, 142, 1, pp. 49-75, (1990)
  • [2] Vinayak H., Singh R., Padmanabhan C., Linear dynamic analysis of multi-mesh transmissions containing external rigid gears, Journal of Sound and Vibration, 185, 1, pp. 1-32, (1995)
  • [3] Liu X., Wang S., Shen Y., Nonlinear vibrations of 3-DOF geared rotor-bearing system, Mechanical Science and Technology for Aerospace Engineering, 23, 10, pp. 59-61, (2004)
  • [4] Gou X., Chen D., Research on bifurcation and chaos of 3-DOF gear transmission system, Mechanical Science and Technology for Aerospace Engineering, 33, 2, pp. 199-203, (2014)
  • [5] Wang X., Wu S., Zhou X., Et al., Nonlinear dynamics analysis of gear transmission system with wear fault, Journal of Vibration and Shock, 3, 16, (2013)
  • [6] Luo Y., Ren Z., Ma H., Stability of periodic motion on the rotor-bearing system with coupling faults of crack and rub-impact, Journal of Mechanical Science and Technology, 21, pp. 860-864, (2007)
  • [7] Han Q., Periodic motions of a dual-disk rotor system with rub-impact at fixed limiter, Proc. JMSE, Part C: Journal of Mechanical Engineering Science, 222, C10, pp. 1935-1946, (2008)
  • [8] Han Q., Periodic motion stability of a dual-disk rotor system with rub-impact at fixed limiter, Vibro-Impact Dynamics of Ocean System, LANCM, 44, pp. 105-109, (2009)
  • [9] Li T., Zhu R., Bao H., Et al., coexisting periodic solutions and their stability of a nonlinear planetary gear train, Journal of Vibration Engineering, 26, 6, pp. 815-822, (2013)
  • [10] Yang Z., Wang S., Fan Y., Liu H., Bifurcation characteristics of face-gear transmission system, Journal of Harbin Institute of Technology, 43, 3, pp. 107-110, (2011)
12