Coupled nonlinear characteristic of two-stage gear system with chipping fault

PDF(2442 KB)

Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (13) : 119-124.

WANG Xin1,2，XU Yu-xiu1,2，WU Bao-lin1，LI Tao-tao3

Author information +

History +

Abstract

In order to investigate the coupled nonlinear characteristic of two-stage gear with chipping fault, nonlinear dynamics dimensionless equations of a single gear pair and two-stage gear with time varying meshing stiffness, errors of transmission and backlashes are established and solved by the numerical method. The bifurcation and chipping fault properties of the 1st gear pair in both systems are analyzed by using bifurcation diagram, phase contrail and Poincaré section with the excitation frequency increase. The paper shows that the two-stage gear system periodic motion interval and amplitude increases, and chaotic interval shorten and delay by the coupling characteristics, which play an inhibitory effect on chaos; The tooth chipping failure increases crisis points and changes intermittent period movements into uncertainty of the single stage gear system, when it only increases intermittent periodic motion amplitude of two-stage gear system.

Key words

gear transmission / nonlinear coupling dynamics / chaos / bifurcation / fault

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

WANG Xin1,2，XU Yu-xiu1,2，WU Bao-lin1，LI Tao-tao3 . Coupled nonlinear characteristic of two-stage gear system with chipping fault[J]. Journal of Vibration and Shock, 2016, 35(13): 119-124

References

[1] 林腾蛟，王丹华，冉雄涛，等. 多级齿轮传动系统耦合非线性振动特性分析[J]. 振动与冲击，2013, 32(17): 1-7.
LIN Teng-jiao, WANG Dan-hua, RAN Xiong-tao, et al. Coupled nonlinear vibration analysis of a multi-stage gear transmission system [J]. Journal of vibration and shock, 2013, 32(16): 37-43.
[2] 李晟，吴庆鸣，张志强，等. 两级行星轮系分岔与混沌特性研究[J]. 中国机械工程，2014, 25(7): 931-937.
LI Seng, WU Qing-ming, ZHANG Zhi-qiang, et al. Bifurcation and chaos characteristics of two-stage planetary gear train sets [J]. China Mechanical Engineering, 2014, 25(7): 931-937.
[3] 朱才朝, 黄泽好, 唐倩, 等. 风力发电齿轮箱系统耦合非线性动态特性的研究[J]. 机械工程学报, 2005, 41(8): 203-207.
ZHU Cai-chao, HUANG Ze-hao, TANG Qian, et al. Analysis of nonlinear coupling dynamic characteristic of gearbox system about wind-driven generator [J]. Journal of mechanical engineering, 2005, 41(8): 203-207.
[4] Lassâad W, Tahar F, Mohamed H. Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation, bearing flexibility and backlash [J]. Mechanism and Machine Theory, 2009, 44: 1058-1069.
[5] 马锐, 陈予恕. 齿轮传动系统断齿故障的机理研究[J]. 振动与冲击, 2013, 32(21): 47-51.
MA Rui, CHEN Yu-shu. Fault mechanism of a gear system with tooth broken [J]. Journal of vibration and shock, 2013, 32(21): 47-51.
[6] 马锐，陈予恕. 含裂纹故障齿轮系统的非线性动力学研究[J]. 机械工程学报，2011, 47(21): 84-90.
MA Rui, CHEN Yu-shu. Nonlinear dynamic research on gear system with cracked failure [J]. Journal of mechanical engineering, 2011, 47(21): 84-90.
[7] MA R, CHEN Y S, CAO Q J. Research on dynamics and fault mechanism of spur gear pair with spalling defect [J]. Journal of Sound and Vibration, 2012, 331: 2097-2109.
[8] 王彦刚，郑海起，杨通强，等. 故障参数下齿轮系统非线性动力学行为[J]. 振动、测试与诊断，2011, 31(5): 570-574.
WANG Yan-gang, ZHENG Hai-qi, YANG Tong-qiang, et al. Nonlinear dynamics behavior of gear system with fault parameters [J]. Journal of Vibration, Measurement & Diagnosis, 2011, 31(5): 570-574.
[9] 王彦刚，郑海起，杨通强等. 非线性齿轮系统单齿故障动力学特性[J]. 振动、测试与诊断，2010, 30(6): 654-656.
WANG Yan-gang, ZHENG Hai-qi, YANG Tong-qiang, et al. Non-linear dynamic characteristics of gear system with single-tooth fault [J]. Journal of Vibration, Measurement & Diagnosis, 2010, 30(6): 654-656.
[10] WANG J, ZHENG J H, YANG A B. An analytical study of bifurcation and chaos in a spur gear pair with sliding friction [J]. Procedia Engineering, 2012, 31: 563-570.
[11] 秦大同, 邢子坤, 王建宏. 基于动力学和可靠性的风力发电齿轮传动系统参数优化设计[J]. 机械工程学报, 2008, 44(7): 24-31.
QIN Da-tong, XING Zi-kun, WANG Jian-hong. Optimization design of system parameters of the gear transmission of wind turbine based on dynamics and reliability [J]. Journal of mechanical engineering, 2008, 44(7): 24-31.
[12] 申永军, 杨绍普. 齿轮系统的非线性动力学与故障诊断[M]. 北京: 科学出版社, 2014.
SHEN Yong-jun, YANG Shao-pu. Nonlinear dynamics and fault diagnosis of gear system [M]. Beijing: Science Press, 2014.