摩擦面波状磨耗的分形描述方法

陈光雄; 胡文萍; 王平; 朱旻昊

doi:10.19818/j.cnki.1671-1637.2015.01.004

摩擦面波状磨耗的分形描述方法

doi: 10.19818/j.cnki.1671-1637.2015.01.004

1.
西南交通大学牵引动力国家重点实验室, 四川成都 610031
2.
荆楚理工学院机械工程学院, 湖北荆门 448000

基金项目:

国家自然科学基金项目 51275429

四川省科技计划项目 2010GZ0227

教育部长江学者和创新团队发展计划项目 IRT1178

中央高校基本科研业务费专项资金项目 SWJTU12ZT01

详细信息

作者简介:
陈光雄(1962-), 男, 广西容县人, 西南交通大学教授, 工学博士, 从事车辆系统动力学研究

中图分类号: U213.42
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出版历程
- 收稿日期: 2014-10-08
- 刊出日期: 2015-02-25

Fractal description method of corrugation for friction surface

1.
State Key Laboratory of Traction Power, Southwest Jiaotong University
2.
School of Mechanical Engineering, Jingchu University of Technology

More Information

Author Bio:
CHEN Guang-xiong (1962-), male, professor, PhD, +86-28-87603724, chen_guangx@163.com

摘要

摘要: 在自行搭建的销-盘试验机上进行自激励振动条件下的滑动摩擦试验, 通过销-盘的摩擦运动来模拟轮轨间的平均接触应力。利用激光位移传感器测量盘试件摩擦面的波状磨耗尺寸, 得到了不同试验条件下盘试件摩擦面的波状磨耗曲线。运用功率谱法对摩擦面的波状磨耗进行分形描述, 根据功率谱指数与分形维数的关系计算不同试验条件下波状磨耗的分形维数, 分析了分形维数与转速、法向载荷、转数等参数的关系。试验结果表明: 在相同法向载荷下, 利用功率谱法求得的分形维数随转速的增加而增大; 在相同转速下, 分形维数随法向载荷的增加而增大; 在相同转速和法向载荷下, 分形维数随转数的增加而减小; 盘试件摩擦面波状磨耗的分形维数为1.79~1.92, 分形特征显著, 分形维数越大, 盘试件摩擦面波状磨耗越严重, 波状磨耗波长越长。利用功率谱法求得的结果与试验结果一致, 可用分形维数定量描述摩擦面的波状磨耗。
- 铁道工程 /
- 波状磨耗 /
- 功率谱 /
- 分形维数 /
- 摩擦振动 /
- 波长 /
- 波深
Abstract: On the self-built pin-on-disc test machine, the sliding friction test under self-excited vibration was carried out. The average contact stress between wheel and track was simulated by using the friction movement of pin-on-disc. The corrugation sizes of friction surface for disc specimen were measured with laser displacement sensor, the corrugation curves of friction surface for disc specimen under different test conditions were obtained. The fractal description method of corrugation for friction surface was carried out with power spectrum method, the fractal dimensions of corrugation under different test conditions were calculated based on the relationship between power spectrum index and fractal dimension, and the relationships between fractional dimension and other parameters such as rotating speed, normal load and revolution were analyzed. Test result shows that under the same normal load, the fractal dimension calculated by using power spectrum method increases with the increase of rotating speed. Under the same rotating speed, the fractal dimension increases with the increase of normal load. Under the same rotating speed and normal load, the fractal dimension decreases with the increase of revolution. The fractional dimension of corrugation of friction surface for disc specimen is from 1.79 to 1.92, the corrugation of friction surface for disc specimen have obvious fractal characteristics. The larger the fractal dimension is, the more serious the corrugation of friction surface for disc specimen is, and the longer the wave length of corrugation is.The result calculated by using power spectrum method is consistent with the experimental result, so fractal dimension can be used to quantitatively describe the corrugation of friction surface.
- railway engineering /
- corrugation /
- power spectrum /
- fractal dimension /
- friction vibration /
- wave length /
- wave depth

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图 1 计算流程

Figure 1. Calculation flow

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图 2 试验装置

Figure 2. Test equipment

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图 3 试验机

Figure 3. Test machine

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图 4 转速为60r·min^-1时的波状磨耗深度

Figure 4. Corrugation depth when r is 60r·min^-1

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图 5 转速为90r·min^-1时的波状磨耗深度

Figure 5. Corrugation depth when r is 90r·min^-1

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图 6 转速为120r·min^-1时的波状磨耗深度

Figure 6. Corrugation depth when r is 120r·min^-1

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图 7 法向载荷为50N时的波状磨耗深度

Figure 7. Corrugation depth when F is 50N

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图 8 法向载荷为100N时的波状磨耗深度

Figure 8. Corrugation depth when F is 100N

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图 9 法向载荷为150N时的波状磨耗深度

Figure 9. Corrugation depth when F is 150N

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图 10 法向载荷为200N时的波状磨耗深度

Figure 10. Corrugation depth when F is 200N

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图 11 转数为28 800时的波状磨耗深度

Figure 11. Corrugation depth when R is 28 800

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图 12 转数为46 800时的波状磨耗深度

Figure 12. Corrugation depth when R is 46 800

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图 13 转数为64 800时的波状磨耗深度

Figure 13. Corrugation depth when R is 64 800

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图 14 转速为60r·min^-1时的lg[S(d)]

Figure 14. lg[S(d)]when r is 60r·min^-1

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图 15 转速为90r·min^-1时的lg[S(d)]

Figure 15. lg[S(d)]when r is 90r·min^-1

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图 16 转速为120r·min^-1时的lg[S(d)]

Figure 16. lg[S(d)]when r is 120r·min^-1

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图 17 法向载荷为50N时的lg[S(d)]

Figure 17. lg[S(d)]when F is 50N

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图 18 法向载荷为100N时的lg[S(d)]

Figure 18. lg[S(d)]when F is 100N

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图 19 法向载荷为150N时的lg[S(d)]

Figure 19. lg[S(d)]when F is 150N

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图 20 法向载荷为200N时的lg[S(d)]

Figure 20. lg[S(d)]when F is 200N

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图 21 转数为28 800时的lg[S(d)]

Figure 21. lg[S(d)]when R is 28 800

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图 22 转数为46 800时的lg[S(d)]

Figure 22. lg[S(d)]when R is 46 800

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图 23 转数为64 800时的lg[S(d)]

Figure 23. lg[S(d)]when R is 64 800

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图 24 分形维数与转速的关系

Figure 24. Relation between D and r

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图 25 分形维数与法向载荷的关系

Figure 25. Relation between D and F

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图 26 分形维数与转数的关系

Figure 26. Relation between D and R

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表 1 试验参数

Table 1. Experimental parameters

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