Non-linear dynamics of spur gear pair under external periodic excitation

被引：2

作者：

Li, Yinggang ^{[1
,2
]}

Chen, Tianning ^{[1
,2
]}

Wang, Xiaopeng ^{[1
,2
]}

Yu, Kunpeng ^{[1
,2
]}

Zhou, Han ^{[1
,2
]}

Zhang, Zhe ^{[1
,2
]}

机构：

[1] School of Mechanical Engineering, Xi'an Jiaotong University

[2] State Key Laboratory for Strength and Vibration of Mechanical Structural, Xi'an Jiaotong University

来源：

Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University | 2014年 / 48卷 / 01期

关键词：

External periodic excitation; Gear pair; Incremental harmonic balance method; Nonlinear dynamics;

D O I：

10.7652/xjtuxb201401017

中图分类号：

学科分类号：

摘要：

Under external periodic excitation, the dynamic model of a single-degree-of-freedom spur gear pair with periodic time-varying stiffness, backlash and viscous damping is established. The incremental harmonic balance method (IHBM) is applied to analyze the dynamic responses of the gear pair system. A comparison with Runge-Kutta integration results shows the accuracy and authority of IHBM. The effects of the periodic time-varying stiffness, backlash, excitation amplitude and viscous damping ratio on the dynamic characteristics of gear pair system are investigated. It indicates that the time-varying factors and backlash under periodic excitation usually lead to parametric resonance, multi-valued properties and amplitude jump phenomena. The enhanced excitation amplitude and the damping ratio facilitate controlling the nonlinear vibration.

引用

页码：101 / 105

页数：4

共 18 条

[1]

Nevzat-Ozguven H., Houser D.R., Mathematical models used in gear dynamics-a review, Journal of Sound and Vibration, 121, 3, pp. 383-411, (1988)

[2]

Wang J., Li R., Peng X., Survey of nonlinear vibration of gear transmission systems, Applied Mechanics Reviews, 56, 3, pp. 309-329, (2003)

[3]

Kahraman A., Singh R., Non-linear dynamics of a spur gear pair, Journal of Sound and Vibration, 142, 1, pp. 49-75, (1990)

[4]

Kahraman A., Blankenship G.W., Interactions between commensurate parametric and forcing excitations in a system with clearance, Journal of Sound and Vibration, 194, 3, pp. 317-336, (1996)

[5]

Kahraman A., Blankenship G.W., Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters, Journal of Applied Mechanics, 64, 1, pp. 217-226, (1997)

[6]

Padmanabhan C., Singh R., Analysis of periodically excited non-linear systems by a parametric continuation technique, Journal of Sound and Vibration, 184, 1, pp. 35-58, (1995)

[7]

Wang L., Li R., Lin T., Research on nonlinear vibration characteristics due to time-varying mesh stiffness and gear backlash in gear system, China Mechanical Engineering, 14, 13, pp. 1143-1146, (2003)

[8]

Wang X., Wu S., Zhou X., Bifurcation and chaos in nonlinear dynamic model of spur gear with backlash, Journal of Vibration and Shock, 27, 1, pp. 53-56, (2008)

[9]

Chen S., Tang J., Luo C., Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction, Mechanism and Machine Theory, 46, 4, pp. 466-478, (2011)

[10]

Comparin R.J., Singh R., Non-linear frequency response characteristics of an impact pair, Journal of Sound and Vibration, 134, 2, pp. 259-290, (1989)

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