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

doi:10.3901/JME.2018.09.153

Abstract

Abstract: 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.

Key words: backlash, fractal characteristics, gear, nonlinear

CLC Number:

TH132

LI Xiaopeng, MU Jiaxin, PAN Wujiu, WEN Bangchun. Influence of Fractal Backlash on Dynamic Behavior of Gear-bearing System[J]. Journal of Mechanical Engineering, 2018, 54(9): 153-160.

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