路基不均匀沉降下无砟轨道受力变形特性解析解
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作者单位:

1.华东交通大学 土木建筑学院;2.华东交通大学轨道交通基础设施性能检测与保障国家重点实验室

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中图分类号:

U213.2

基金项目:

国家自然科学基金(12072112);江西省杰出青年科学基金(20202ACBL214014);江西省教育厅科学技术研究项目(GJJ190332)


Analytical solution for the deformation behavior of ballastless track under uneven settlement of subgrade
Author:
Affiliation:

1.School of Civil Engineering and Architecture,East China Jiaotong University;2.State Key Laboratory of Rail Transit Infrastructure Performance Testing and Assurance,East China Jiaotong University

Fund Project:

National Natural Science Foundation of China (12072112); Natural Science Foundation of Jiangxi Province(20202ACBL214014); Science and Technology Project of Jiangxi Provincial Education Department (GJJ190332)

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    摘要:

    采用无拉力Pasternak地基叠合梁理论提出考虑土体剪切和层间脱空的轨道变形解析法,研究路基不均匀沉降对双块式无砟轨道受力变形的影响规律。引入Heaviside阶梯函数描述轨道与路基的脱空行为,采用有限差分法求解微分控制方程,建立三维梁-体空间有限元模型进行对比验证分析解析模型的适用性及确定其适用范围。研究结果表明:路基沉降变形较平缓时,解析模型与有限元模型计算结果几乎无差异,随着路基沉降变形加剧 ,两种模型计算偏差越来越大;在路基沉降波长为20 m工况下,沉降幅值超过21 mm时,解析模型不再适用;在给定路基沉降幅值为20 mm条件下,解析模型适用于沉降波长大于19.8 m的路基沉降工况。

    Abstract:

    An analytical solution based on non-tension Pasternak foundation composite beam with considering soil shear and interlayer disengaging for the double-block ballastless track, is derived to study the influence of uneven settlement of the subgrade on its deformation. Heaviside step function is introduced to describe the disengaging behavior between the track and the subgrade, and the differential governing equation is solved by finite difference method. A three-dimensional beam-body space finite element model is also established to verify the applicability of the analytical model and determine its scope of application. The results show that when the settlement deformation of the subgrade is relatively gentle, the calculation results of the analytical model and the finite element model are almost indistinguishable, the deviation of the two models is getting larger as settlement of the subgrade exacerbated; For a given subgrade settlement wavelength of 20 m, when the settlement amplitude reaches larger than 21 mm, the analytical model is not applicable; Under the given condition that settlement amplitude of the subgrade is 20 mm, the analytical model is applicable to the subgrade settlement condition with a settlement wavelength greater than 19.8 m.

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  • 收稿日期:2022-11-06
  • 最后修改日期:2022-12-19
  • 录用日期:2023-01-11
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