Journal of Jilin University(Engineering and Technology Edition) ›› 2020, Vol. 50 ›› Issue (2): 494-503.doi: 10.13229/j.cnki.jdxbgxb20181131

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Gear contact stiffness under mixed lubrication status

Gong CHENG1(),Ke XIAO1(),Jia-xu WANG1,2,Wei PU2,Yan-feng HAN1   

  1. 1.College of Mechanical Engineering，Chongqing University, Chongqing 400044，China
    2.School of Aeronautics and Astronautics, Sichuan University, Chengdu 610065, China
  • Received:2018-11-13 Online:2020-03-01 Published:2020-03-08
  • Contact: Ke XIAO E-mail:chenggong@cqu.edu.cn;470567110@qq.com

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Abstract:

In gear transmission mechanism, stiffness is undoubtedly an important parameter, and considering the ubiquitous lubricant in mechanical system, it is necessary to study the contact stiffness under the condition of mixed lubrication. It is certain that the gear contact stiffness considering lubrication is the result of a multi-factor combination. In real working conditions, the gear contact stiffness is time-varying due to the variation of meshing force，the influence of rough interface and the presence of lubricant. In fact, the mixed lubrication solution is crucial. Once the film thickness and pressure distribution under mixed lubrication are known, the final result can be obtained by substituting the obtained results into the calculation expression. In order to study the contact stiffness of gears under mixed lubrication conditions, a calculation method is proposed. First, the motion parameters and normal contact force during the gear meshing process are determined. Second, the mixed elastohydrodynamic lubrication method is used to obtain the film thickness and pressure distribution on the meshing rough tooth surface at different moment. Finally, the obtained film thickness and pressure distribution are brought into the contact stiffness calculation formula to get the contact stiffness of gear at different times. The influence of different working conditions on the contact stiffness of gear is further discussed, and the contact stiffness of smooth surface is compared with that of rough surface. The results show that the speed and load have obvious influences on the contact stiffness. The higher the gear speed, the smaller the contact stiffness, and the smaller the applied load, the greater the contact stiffness of the gear.

Key words: mechanical design, mixed lubrication, contact stiffness, rough surface, gear mesh

CLC Number: 

  • TH117.2

Fig.1

Basic geometric parameters of a gear pair"

Table 1

Parameters of gears"

参数齿轮1齿轮2
齿数2520
模数44
压力角/(°)2020
基圆半径/mm91.83478.934
转速/(r·min -1) 1 0001 250

Fig.2

Curvature radius and speed during gear meshing"

Fig.3

Variation of meshing load with roll angle"

Fig.4

Diagram of rough surface contact model"

Fig.5

Rough surface morphology and corresponding film thickness and asperity contact ratio when speed is 2 000 r/min and load is 100 N·m"

Fig.6

Comparison of film thickness and pressure distribution along x-axis, and that of contact stiffness of smooth and rough surfaces when speed is 2 000 r/min and load is 50 N·m "

Fig.7

Film thickness and pressure distribution at different meshing points when speed is 2 000 r/min and load is 100 N·m"

Fig.8

Film thickness and contact stiffness change with rolling angle at different speeds when load is 100 N·m"

Fig.9

Film thickness and pressure distribution at same meshing point for different loads when speed is 2 000 r/min"

Fig.10

Film thickness and contact stiffness change with rolling angle under different loads when speed is 2 000 r/min"

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