Influence of Fractal Backlash on Dynamic Behavior of Gear-bearing System

被引：10

作者：

Li X. ^{[1
]}

Mu J. ^{[1
]}

Pan W. ^{[1
]}

Wen B. ^{[1
]}

机构：

[1] School of Mechanical Engineering and Automation, Northeastern University, Shenyang

来源：

Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2018年 / 54卷 / 09期

关键词：

Backlash; Fractal characteristics; Gear; Nonlinear;

D O I：

10.3901/JME.2018.09.153

中图分类号：

学科分类号：

摘要：

The chief objective is to study the influence of the fractal backlash on the dynamic characteristics of the gear bearing system. Firstly, the dynamic model of the system is established, and the influence of the rotating shaft and bearing on the dynamic characteristics of the system is considered. The nonlinear factors such as the nonlinear oil film force of the journal bearing, the time-varying meshing stiffness of gear and the dynamic transmission error are analyzed. In this paper, the fractal theory is introduced into the dynamic analysis of the system, the fractal behavior of the backlash is discussed, and the W-M function is employed to describe this fractal behavior. Runge-Kutta method is used to solve the dynamic equation, and the phase diagram of the system response, Poincare section and bifurcation diagram are obtained. The results reveal that when the meshing stiffness is large, the bifurcation behavior of the system is reduced, 1 periodic motion and chaos appear alternately; when the backlash fluctuates in a small range when compared to the fixed backlash, there are more details of the system response when using the fractal backlash, and the dynamic characteristics of the system can be described more accurately; with the increase of meshing stiffness, the system can keep the 1 period motion when the fractal dimension D is large, which means the system is more stable when the stiffness is large. © 2018 Journal of Mechanical Engineering.

引用

页码：153 / 160

页数：7

共 15 条

[1]

Kahraman A., Singh R., Non-linear dynamics of a geared rotor-bearing system with multiple clearances, Journal of Sound and Vibration, 144, 3, pp. 469-506, (1991)

[2]

Kahraman A., Singh R., Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system, Journal of Sound and Vibration, 146, 1, pp. 135-156, (1991)

[3]

Vaishya M., Singh R., Sliding friction-induced non-linearity and parametric effects in gear dynamics, Journal of Sound and Vibration, 248, 4, pp. 671-694, (2001)

[4]

Chang-Jian C.W., Non-linear dynamic analysis of a HSFD mounted gear-bearing system, Nonlinear Dynamics, 62, 1-2, pp. 333-347, (2010)

[5]

Chang-Jian C.W., Bifurcation and chaos of gear-rotor-bearing system lubricated with couple-stress fluid, Nonlinear Dynamics, 79, 1, pp. 749-763, (2015)

[6]

Xiang L., Jia Y., Hu A., Bifurcation and chaos analysis for multi-freedom gear-bearing system with time-varying stiffness, Applied Mathematical Modelling, 40, 23, pp. 10506-10520, (2016)

[7]

Wei S., Han Q., Chu F., Review on research of uncertain dynamics for gear system, Journal of Mechanical Engineering, 52, 1, pp. 1-19, (2016)

[8]

Lu J., Chen H., Zeng F., Et al., Influence of system parameters on dynamic behavior of gear pair with stochastic backlash, Meccanica, 49, 2, pp. 429-440, (2014)

[9]

Lu J., Zeng F., Yang H., Et al., Influence of stochastic assembling backlash on nonlineardynamic behavior of transmission gear pair, Journal of Mechanical Engineering, 46, 21, pp. 82-86, (2010)

[10]

Wen Y., Yang J., Wang S., Random dynamics of a nonlinear spur gear pair in probabilistic domain, Journal of Sound & Vibration, 333, 20, pp. 5030-5041, (2014)

← 1 2 →