双线路基是高速铁路路基中常见的一种形式，其动应力的特性研究至关重要。本文建立了列车-轨道-双线路基三维有限元模型，并在两股钢轨上添加了两种典型的高低不平顺谱。通过数值计算，得到了两种轨道不平顺谱及三种列车运行速度下路基动应力沿纵向的分布，统计了不同深度处路基动应力的均值及变异系数，并给出了均值的拟合公式。最后，对两种轨道不平顺谱下路基动应力的概率分布型式进行了验证。利用柯尔莫哥洛夫检验方法，证明了轨道不平顺谱下路基动应力近似服从对数正态分布。
Abstract
Double subgrade is one of widely used types of high-speed railway subgrade, study for dynamic stress of subgrade is very important. In this paper, 3D finite element model of vehicle-track-double subgrade is bulit by ABAQUS, with two typical track irregularity spectrums added on the two rails. According to the numerical calculating results, the distributions of dynamic stress of subgrade along longitudinal direction were obtained under two typical track spectrums and three train speeds. The mean values and the coefficient of variations(COVs) of dynamic stress under different depths of subgrade were obtained, and the fitting formulas were given for the mean values. By Kolmogorov rule, it can be verified that dynamic stress of subgrade along longitudinal direction is approximate to log-normal distribution under track irregularity spectrums.
关键词
列车-轨道-双线路基有限元模型 /
轨道不平顺谱 /
路基动应力 /
变异系数 /
对数正态分布
{{custom_keyword}} /
Key words
3D finite element model of vehicle-track-double subgrade /
track irregularity spectrums /
dynamic stress of subgrade /
coefficient of variation(COV) /
log-normal distribution
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 刘升传，吴立坚，宋二详.动荷载路桥过渡段双线路基动力响应特性[J]. 交通运输工程学报，2009,9(6):26-32.
LIU Sheng-chuan，WU Li-jian，SONG Er-xiang. Dynamic response properties of two-way subgrade in bridge-subgrade transition section under moving load[J]. Journal of Traffic and Transportation Engineering,2009,9(6):26-32.
[2] 宗军良，刘涛，宫全美，等.既有线提速路基动力响应特性研究[J]. 中国铁道科学，2007,28(4):7-11.
ZONG Jun-liang, LIU Tao, GONG Quan-mei, et al. Dynamic response study on speed-increase subgrade of existing railway[J]. China Railway Science, 2007,28(4):7-11.[3] 詹永祥，蒋光鲁.无砟轨道路基基床动力特性的研究[J].岩土力学，2010，31(2):392-396.
ZHAN Yong-xiang， JIANG Guan-lu. Study of dynamic characteristics of soil subgrade bed for ballastless track[J]. Rock and Soil Mechanics, 2010,31(2):392-396.
[4] 董亮,赵成刚,蔡德钩,等.高速铁路无砟轨道路基动力特性数值模拟和试验研究[J]. 土木工程学报, 2008,41(10):81-86.
DONG Liang, ZHAO Cheng-gang, CAI De-gou, et al. Experimental validation of a numerical model for prediction of the dynamic response of ballastless subgrade of high-speed railways[J]. Chinese Civil Engineering Journal, 2008, 41(10):81-86.[5] 陈雪华,律文田,王永和. 高速铁路路桥过渡段路基动响应特性研究[J].振动与冲击,25(3):95—98.
CHEN Xue-hua, LV Wen-tian, WANG Yong-he. Study on the dynamic response of high speed railway bridge subgrade transition section[J]. Journal of vibration and shock,25(3):95-98.
[6] 范生波.高速铁路路基动力响应测试分析[D]. 成都:西南交通大学,2010.[7] 刘扬. 有砟轨道沉降的概率预测模型[D]. 上海：同济大学，2007.
[8] 中铁第四勘察设计院集团有限公司. 客运专线无碴轨道过渡段路基试验段动态响应测试研究分报告[R]. 武汉：中铁第四勘察设计院集团有限公司，2009.
[9] 程翀.车-轨-路耦合条件下的高速铁路板式轨道路基系统动力分析[D]. 杭州：浙江大学, 2015.
[10] LEI Xiao-yan, ZHANG-Xing. Analysis of dynamic behavior for slab track of high-speed railway based on vehicle and track elements[J]. Journal of Transportation Engineering, 2011, 137-227.
[11] 徐翔.高速铁路路基动力响应的现场测试及物理模型试验研究[D].杭州：浙江大学，2014.
[12] 常超.轨道不平顺引起的结构与地基振动[D].杭州：浙江大学，2012.
[13] 胡婷.列车移动荷载引起的路堤-地基振动与减振[D].杭州:浙江大学,2007.
[14] 刘学毅. 客运专线无砟轨道设计理论与方法[M]. 西南交通大学出版社,2010.
[15] 张斌, 雷晓燕. 基于车辆-轨道单位的无砟轨道动力特性有限元分析[J]. 铁道学报, 2011,33(7): 78-85.
ZHANG Bin, LEI Xiao-yan. Analysis on dynamic behavior of ballastless track based on vehicle elements with finite element method[J].Journal of the China Railway Society,2011,33(7):78-85.
[16] Liu G R, Quek Jerry S S. A non-reflecting boundary for analyzing wave propagation using the finite element method [J]. Finite elements in analysis and design. 2003,39(5):403-417.
[17] 翟婉明. 车辆—轨道耦合动力学[M].科学出版社,2007.
[18] 高速铁路设计规范(试行)(TB 1062-2009)[S]. 北京: 中国铁道出版社, 2010.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(1883 KB)
