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中低速磁悬浮铁路路基轨道梁计算方法

The Calculation Method for Track Beam on Subgrade Foundation in Low and Medium Speed Maglev Railway Engineering
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摘要 研究目的:中低速磁悬浮铁路是一种新型交通运输系统,其路基-轨道梁结构对系统的安全性、运行稳定性和乘坐舒适性有重要影响。为简单合理确定车辆荷载作用下路基-轨道梁结构的挠度和内力以便为实际工程设计提供理论依据,基于Winkler弹性地基上的Timoshenko梁模型,建立中低速磁悬浮铁路路基轨道梁计算方法。研究结论:(1)通过拟静力法将车辆动力荷载转换为等效惯性力,结合梁体边界条件,采用Laplace变换方法,推导出了竖向集中荷载作用下轨道基础梁的挠度和内力的计算公式,并通过室内模型试验和现场测试进行了验证;(2)轨道基础梁的挠度和弯矩沿梁体长度均呈中间大、两端小的抛物线型分布模式,二者理论值与试验值的最大误差分别约为10%、5.6%;(3)梁体剪力沿长度呈跨中为零的线性分布,理论值与试验值最大误差约为5%;(4)本文所建立的计算方法可为中低速磁悬浮铁路路基轨道梁的实际工程设计提供参考。 Research purposes:Low and medium speed maglev railway is a novel transportation system,in which subgrade-track foundation beam structure has significant influences on system safety,operational stability and passenger comfort.In order to establish a simple and rational theoretical basis for practical engineering designs,a calculation method for track beam on subgrade foundation of the maglev railway is established based on the Timoshenko beam model on the Winkler elastic foundation.Research conclusions:(1)The formulas of deflections and internal forces on the beam under vertical vehicle loading are derived after a conversion of the dynamic vehicle load into equivalent inertia force using the pseudo-static approach with considering its boundary conditions,and it is mathematically carried out via the Laplace transformation method.A laboratory model test and on-site testing in a practical engineering are conducted to verify the proposed method.(2)The deflection and bending moment on the track foundation beam both present a parabolic distribution pattern along the beam length with the maximum value at the middle and the minimum at two ends.The maximum relative errors between the proposed and observed deflection and bending moment are about 10%and 5.6%,respectively.(3)The shear force on the beam exhibits a linear distribution along the beam length with zero at the mid-span,and the maximum error between the theoretical and experimental values is approximately 5%.(4)The proposed method can provide reference to specific design for track beam on subgrade foundation in low and medium speed maglev railway engineering.
作者 贺钢 邹泉锭 肖世国 齐远 HE Gang;ZOU Quanding;XIAO Shiguo;QI Yuan(China Railway Eryuan Engineering Group Co.Ltd,Chengdu,Sichuan 610031,China;Southwest Jiaotong University,Chengdu,Sichuan 610031,China;Key Laboratory of High-speed Railway Engineering,Ministry of Education,Southwest Jiaotong University,Chengdu,Sichuan 610031,China)
出处 《铁道工程学报》 EI CSCD 北大核心 2024年第6期52-56,63,共6页 Journal of Railway Engineering Society
基金 国家自然科学基金项目(51578466) 中铁二院工程集团有限责任公司科研项目(KDNQ213103)。
关键词 中低速磁悬浮铁路 路基 轨道基础梁 TIMOSHENKO梁 模型试验 low and medium speed maglev railway subgrade track foundation beam Timoshenko beam model test
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