两种蠕滑理论黏滑分界线的解析推导及其应用

程畅; 王垚韡; 陆晨旭; 陈迪来

doi:10.21656/1000-0887.450317

两种蠕滑理论黏滑分界线的解析推导及其应用

doi: 10.21656/1000-0887.450317

1.
常州工业职业技术学院, 江苏常州 213164
2.
上海应用技术大学，上海 201418

基金项目:

上海科技创新行动计划 21210750300

上海启明星计划 22YF1447600

详细信息

作者简介:
程畅(1970—)，男，教授(E-mail: chengnahc@163.com)

通讯作者:
陆晨旭(1994—)，男，讲师，博士(通讯作者. E-mail: 18810327668@163.com)

中图分类号: TH212; TH213.3
计量
- 文章访问数: 28
- HTML全文浏览量: 6
- PDF下载量: 4
- 被引次数: 0
出版历程
- 收稿日期: 2024-11-20
- 修回日期: 2025-03-24
- 刊出日期: 2025-08-01

Derivations and Applications of Stick-Slip Boundaries for 2 Creep Theories

1.
Changzhou Vocational Institute of Industry Technology, Changzhou, Jiangsu 213164, P.R.China
2.
Shanghai Institute of Technology, Shanghai 201418, P.R.China

摘要

摘要: 解析模型可以更好地理解蠕滑、自旋对黏滑区分布的影响，并快速确定接触斑黏滑分布. 为此，推导了Kalker简化理论和Polach理论的黏滑边界线解析表达式，并将其应用于轮轨磨耗计算. 计算结果表明：蠕滑率及接触斑长短轴比值较小时，两种理论得到的黏滑分区及应力分布一致性较好，随着蠕滑率和长短轴比值增加，结果逐渐出现差异. 轨面湿滑状态下，滑动区比例会明显增加，但是磨耗速率降低了20%~30%；制动等级对磨耗速率有显著影响，与常用制动相比，紧急制动使得磨耗大幅增加；列车速度提高使得轮轨滑动速度增加，加剧了磨耗速率.
- Polach理论 /
- Hertz接触 /
- 黏滑分区 /
- 轮轨蠕滑 /
- 轮轨磨耗
Abstract: The analytical solution helps better understand the effects of creep and spin on the stick-slip zone distributions and quickly determine the stick-slip distributions of contact patches. Therefore, the analytical expressions of stick-slip boundaries of the Kalker simplified theory and the Polach theory were derived and applied to the wheel-rail wear calculation. The calculation results show that, with small creepages and major axis-to-minor axis ratios of the contact patches, the stick-slip divisions and stress distributions obtained by the 2 theories are consistent. With the increases of the creepage and the major axis-to-minor axis ratio, the results gradually differ. For the wet rail surface, the slip zone proportion will increase significantly, but the wear rate will decrease by 20%~30%. The braking level has a significant effect on the wear rate, and the emergency braking causes a significant increase in wear compared to the normal braking. The increase of the train speed raises the wheel-rail sliding speed and aggravates the wear rate.
- Polach theory /
- Hertz contact /
- stick-slip division /
- wheel-rail creep /
- wheel-rail wear

HTML全文

图 1 椭圆接触斑

Figure 1. The elliptical contact patch

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图 2 黏滑区划分

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 2. Stick-slip zone divisions

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图 3 不同蠕滑率条件下的黏滑区划分

Figure 3. Stick-slip zone divisions under various creepages

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图 4 切向应力分布(Y=0)

Figure 4. Distributions of tangential stresses

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图 5 不同蠕滑率条件下的应力分布

Figure 5. Distributions of tangential stresses under various creepages

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图 6 不同长短半轴比条件下的黏滑区划分

Figure 6. Stick-slip zone divisions under various ratios of major semiaxes to minor semiaxes

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图 7 不同长短半轴比条件下的切向应力分布

Figure 7. Distributions of tangential stresses under various ratios of major semiaxes to minor semiaxes

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图 8 法向应力分布

Figure 8. Distributions of normal stresses

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图 9 纯蠕滑条件下的蠕滑力-率特性曲线

Figure 9. Creep force-creepage characteristic curves under pure creep

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图 10 纯自旋条件下的蠕滑力-率特性曲线

Figure 10. Creep force-creepage characteristic curves under pure spin

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图 11 磨耗计算示意图

Figure 11. The schematic diagram of wear calculation

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图 12 磨耗系数

Figure 12. The coefficient of wear

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图 13 不同制动等级下的轮轨磨耗速率

Figure 13. The wheel/rail wear rates under various braking levels

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图 14 不同制动条件下的黏滑分布(Polach理论)

Figure 14. Stick-slip zone divisions under various braking levels (Polach theory)

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图 15 不同摩擦因数条件下轮轨磨耗速率

Figure 15. The wheel/rail wear rates under various friction coefficients

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图 16 不同摩擦因数条件下的黏滑分布(Polach理论)

Figure 16. Stick-slip zone divisions under various friction coefficients (Polach theory)

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图 17 不同速度条件下的轮轨磨耗速率

Figure 17. The wheel/rail wear rates under various running speeds

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表 1 接触参数

Table 1. Parameters of wheel/rail contact

material parameters and axle weight	major and minor axes/mm	Kalker coefficient
$f=0.3, N=100 \mathrm{kN}, G=8.4 \times 10^{10} \mathrm{~N} / \mathrm{m}^2$	$\begin{gathered} a=12, b=6 \\ a=8.5, b=8.5 \\ a=6, b=12 \end{gathered}$	$\begin{aligned} & C_{11}=5.10, C_{22}=4.90, C_{23}=2.62 \\ & C_{11}=4.12, C_{22}=3.67, C_{23}=1.47 \\ & C_{11}=3.62, C_{22}=3.01, C_{23}=0.93 \end{aligned}$

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