接触网承力索集中荷载测量方法

刘继冬; 梁茹楠; 陈交; 程军营; 吴积钦

doi:10.3969/j.issn.0258-2724.20211092

接触网承力索集中荷载测量方法

doi: 10.3969/j.issn.0258-2724.20211092

西南交通大学电气工程学院，四川成都 611756

基金项目: 中国国家铁路集团有限公司重点课题（N2021G029）

详细信息

作者简介:
刘继冬（1995—），男，博士研究生，研究方向为弓网关系及其评价，E-mail：jdliu9501@foxmail.com

通讯作者:
吴积钦（1966—），男，教授，博士，研究方向为弓网关系及其评价，E-mail：jqwu@swjtu.cn

中图分类号: U225.1
计量
- 文章访问数: 239
- HTML全文浏览量: 117
- PDF下载量: 31
- 被引次数: 0
出版历程
- 收稿日期: 2021-12-30
- 修回日期: 2022-05-05
- 网络出版日期: 2024-03-11
- 刊出日期: 2022-06-09

Measurement Method for Concentrated Load on Catenary Messenger Wires

School of Electrical Engineering, Southwest Jiaotong University, Chengdu 611756, China

摘要

摘要:
为分析接触网承力索静止与振动状态下的线索形状与集中荷载对应关系. 采用抛物线法对静止状态的承力索进行找形计算，通过构建振动微分方程和使用傅里叶变换计算振动状态下的承力索形状；结合受力分析，并根据牛顿第二定律推导静止与振动状态下承力索集中荷载的公式，在获取静态与振动状态下集中荷载处位移变化后，可以通过该公式求解集中荷载；在实验室搭建的振动试验台上对测量方法进行了检验. 检验结果表明：静态时的绝对误差为0.20%，主振频率为1 Hz及2 Hz振动状态下的绝对误差百分比均在0.50%以内；采用机器视觉获取集中荷载处静态位置与振动位移数据，进而实现承力索集中荷载非接触测量的方法是可行的.
- 接触网 /
- 承力索 /
- 振动 /
- 荷载 /
- 非接触测量
Abstract:
Relationship is explored between the wire shape and concentrated load of catenary messenger wires in static and vibrational states. The parabola method is used to determine the messenger wire shape in static state. By constructing the differential equation and using the Fourier transform, the messenger wire shape in vibrational state is calculated. Combined with the force analysis, the concentrated load formula of the messenger wire in static and vibrational states is deduced according to Newton's second law. After acquiring the displacement at the concentrated load in static and vibration states, the concentrated load is solved, and its measurement method is tested on the vibration measurement platform built in lab. The test results show that the percentage of absolute error in static state is 0.20%, and in vibrational state with main vibration frequencies of 1 Hz and 2 Hz it is within 0.50%. It is feasible to use machine vision to obtain the static position and vibration displacement data at the concentrated load, and thus realize the contactless measurement for the concentrated load of messenger wires.
- Catenary /
- Messenger wire /
- Vibration /
- Load /
- Contactless measurement

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图 1 简单链形悬挂接触网

Figure 1. Simple chained suspension catenary

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图 2 集中荷载处受力分析

Figure 2. Force analysis at concentrated load

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图 3 承力索静态受力分析

Figure 3. Force analysis of messenger wire in static state

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图 4 承力索振动分析

Figure 4. Vibration analysis of messenger wire

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图 5 透视投影原理

Figure 5. Principle of perspective projection

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图 6 振动测量图像

Figure 6. Image of vibration measurement

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图 7 承力索振动位移变化

Figure 7. Vibration displacement variation of messenger wire

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图 8 承力索振动位移频谱分析

Figure 8. Spectrum analysis on vibration displacement of messenger wire

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图 9 承力索振动位移测量与重构曲线对比

Figure 9. Comparison of measurement and reconstruction curves for messenger wire vibration

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图 10 振动试验台

Figure 10. Vibration measurement platform

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图 11 钢丝绳受力分析

Figure 11. Force analysis of steel strand

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图 12 承力索振动过程模拟

Figure 12. Simulation of messenger wire vibrating process

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图 13 频率1 Hz集中荷载时振动位移变化

Figure 13. Vibration displacement variation under 1 Hz concentrated load

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图 14 频率1 Hz集中荷载时振动位移频谱分析

Figure 14. Spectrum analysis on vibration displacement under 1 Hz concentrated load

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图 15 频率1 Hz集中荷载时测量值与计算值对比

Figure 15. Comparison between measured and calculated values under 1 Hz concentrated load

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图 16 频率2 Hz集中荷载时振动位移变化

Figure 16. Vibration displacement variation under 2 Hz concentrated load

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图 17 频率2 Hz集中荷载时振动位移频谱分析

Figure 17. Spectrum analysis on vibration displacement under 2 Hz concentrated load

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图 18 频率2 Hz集中荷载时测量值与计算值对比

Figure 18. Comparison between measured and calculated values under 2 Hz concentrated load

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表 1 静态集中荷载计算值与测量值统计

Table 1. Statistics of calculated and measured values of static concentrated load N

位移/mm 计算值测量值绝对误差

10 10.08 10.10 0.02
20 20.96 20.93 0.03
30 31.84 31.85 0.01

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