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轨道不平顺概率模型

徐磊 翟婉明

徐磊, 翟婉明. 轨道不平顺概率模型[J]. 交通运输工程学报, 2018, 18(3): 56-63. doi: 10.19818/j.cnki.1671-1637.2018.03.006
引用本文: 徐磊, 翟婉明. 轨道不平顺概率模型[J]. 交通运输工程学报, 2018, 18(3): 56-63. doi: 10.19818/j.cnki.1671-1637.2018.03.006
XU Lei, ZHAI Wan-ming. Track irregularity probabilistic model[J]. Journal of Traffic and Transportation Engineering, 2018, 18(3): 56-63. doi: 10.19818/j.cnki.1671-1637.2018.03.006
Citation: XU Lei, ZHAI Wan-ming. Track irregularity probabilistic model[J]. Journal of Traffic and Transportation Engineering, 2018, 18(3): 56-63. doi: 10.19818/j.cnki.1671-1637.2018.03.006

轨道不平顺概率模型

doi: 10.19818/j.cnki.1671-1637.2018.03.006
基金项目: 

国家自然科学基金项目 51678507

西南交通大学轨道交通工程动力学创新引智基地项目 B16041

详细信息
    作者简介:

    徐磊(1988-), 男, 湖南华容人, 西南交通大学工学博士研究生, 从事车辆-轨道时空非线性振动研究

    翟婉明(1963-), 男, 江苏靖江人, 西南交通大学教授, 工学博士, 中国科学院院士

  • 中图分类号: U213.213

Track irregularity probabilistic model

More Information
    Author Bio:

    XU Lei(1988-), male, doctoral student, leix_2013@163.com

    ZHAI Wan-ming(1963-), male, professor, academician of Chinese Academy of Sciences, PhD, wmzhai@swjtu.edu.cn

  • 摘要: 为了高效选取轨道不平顺随机样本, 以满足车辆-轨道系统随机动力与可靠度分析中的激振源遍历性要求, 依据轨道随机不平顺的弱平稳与谱相似特征, 提出了一种轨道不平顺概率模型; 采用离散概率积分和统计方法, 在时域中将大量轨道不平顺检测信号分成若干个时程序列, 对每个序列采用谱分析法计算其统计功率谱密度分布; 采用矩阵法对轨道不平顺功率谱密度函数进行集合表征, 视每条谱线在不同频率点的功率谱密度概率具有累加性, 采用单一频率下的功率谱密度概率分布推知整条谱线的出现概率; 采用通用随机模拟方法选取代表性轨道谱, 并反演随机不平顺序列; 实测了某高速铁路约269km的轨道高低和方向不平顺, 基于车辆-轨道耦合动力学理论, 从轨道不平顺模拟幅值与车辆-轨道系统动力响应的概率密度分布出发, 对比了轨道不平顺概率模型与轨道不平顺随机模型的计算结果, 以验证轨道不平顺概率模型的正确性和高效性。计算结果表明: 以2种模型生成的轨道随机不平顺为激振源, 获得的车辆-轨道系统动力响应分布熵差异小于2%, 2种模型均能准确表达不平顺激扰特性; 为保证模拟与实测不平顺的概率密度分布一致, 采用随机模型和概率模型分别需要生成131和33个随机样本, 概率模型具有更高的分析效率; 在给定计算工况下, 轮轨力和车体加速度的幅值分别为38~152kN和-0.042g~0.043g (g为重力加速度), 均未超过《高速铁路设计规范》 (TB 10621—2014) 中的限值(轮轨力为170kN, 车体加速度为0.25g), 表明此高速铁路轨道不平顺状态较优, 行车安全性和舒适性可以得到保证。

     

  • 图  1  轨道不平顺

    Figure  1.  Track irregularities

    图  2  不同样本的特征值

    Figure  2.  Eigenvalues of different samples

    图  3  轨道不平顺的代表样本(TISM)

    Figure  3.  Representative samples of track irregularities (TISM)

    图  4  轨道不平顺的代表样本(TIPM)

    Figure  4.  Representative samples of track irregularities (TIPM)

    图  5  轨道不平顺幅值概率密度分布

    Figure  5.  Probability density distributions of track irregularity amplitudes

    图  6  车辆系统动力指标对比

    Figure  6.  Comparison of dynamic indices of vehicle system

    图  7  轨道系统动力指标对比

    Figure  7.  Comparison of dynamic indices of track system

    表  1  钢轨动力指标的概率熵对比

    Table  1.   Comparisons on probability entropy for dynamic indices of track

    下载: 导出CSV
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出版历程
  • 收稿日期:  2017-12-03
  • 刊出日期:  2018-06-25

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