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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

Fast prediction of vibration source intensity induced by metro trains moving on regular and floating slab tracks

Abstract: A complementary method to determine the vibration source intensity, defined as the weighted vertical acceleration level at the tunnel wall, is needed urgently when comparable measurements or database predictions are unavailable in empirical predictions. In this study, we present an analytical model designed to quickly and accurately estimate the vibration source intensity produced by moving metro trains, considering both regular and floating slab tracks. The improved periodic pipe-in-pipe (PiP) model with regular or floating slabs affixed to the tunnel invert was developed. The train loads are represented in the frequency-wavenumber domain to apply in the model. Measured track irregularities were applied and the proposed model was validated against the measured results and verified by a tunnel-soil coupled model. The proposed approach effectively and accurately assessed the vibration source intensity generated by underground trains in a prediction time of just 58 s. Track irregularities significantly affect the vibration source intensity, making them a key factor in comparable measurements or database predictions. A floating slab track can reduce the vibration source intensity by about 14 dB. The proposed approach can serve as an additional method to complement comparable measurements or database predictions for determining the vibration source intensity in empirical predictions.

Key words: Environmental vibration prediction; Vibration source intensity; Analytical prediction model; Floating slab track; Measured track irregularities

Chinese Summary  <2> 考虑普通轨道和浮置板轨道的地铁车致振动源强快速预测

作者:徐利辉1,高盟1,谭新宇2,邹超3,马蒙4
机构:1山东科技大学,土木工程与建筑学院,中国青岛,266590;2中国铁路设计集团有限公司,中国天津,300308;3广东工业大学,土木与交通工程学院,中国广州,510006;4北京交通大学,城市地下工程教育部重点实验室,中国北京,100044
目的:地铁建设初期的环境振动经验预测中需快速预测车致振动源强水平。本文旨在提出一种考虑普通轨道和浮置板轨道的地铁车致振动源强快速解析预测方法,探究模型的有效性及相关因素的影响,为振动源强预测提供可靠的工具。
创新点:1.解决管中管(PiP)模型中扣件力引起的周期性问题,建立周期性PiP模型;2.充分考虑轨道不平顺,提出地铁车致振动源强快速预测方法。
方法:1.通过理论推导,获得普通轨道与浮置板轨道下地铁车致隧道壁振动水平的快速计算公式;2.通过对比分析,根据实测结果及理论结果,验证模型的适用性及高效性;3.通过参数分析(土体和轨道不平顺等),获得各种因素对振动源强的影响及浮置板的减振效果。
结论:1.基于周期性PiP模型的预测方法能够高效准确预测振动源强,可用于经验公式的振动源强预测;2.轨道不平顺由Q2退化至Q4,振动源强增加约8 dB,建议采用实测轨道不平顺谱进行源强预测;3.本文案例中,浮置板轨道的减振量约为14 dB,其受轨道不平顺和车速等因素的影响,减振量变化幅值最大约2 dB。

关键词组:环境振动预测;振动源强;解析预测模型;浮置板轨道;实测轨道不平顺


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DOI:

10.1631/jzus.A2500019

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On-line Access:

2026-01-26

Received:

2025-01-20

Revision Accepted:

2025-04-17

Crosschecked:

2026-01-27

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