Geotechnical and Geological Engineering

, Volume 36, Issue 2, pp 723–735 | Cite as

Vibratory Influential Zoning for Grade-Separated Tunnels Under the Load of Trains

  • Weichao Yang
  • Rongshen Yin
  • Mingfeng LeiEmail author
  • E. Deng
  • Pingping Zhang
Original paper


Grade-separated tunnels are even more vulnerable components in high-speed railway engineering structures. The dynamic characteristics of tunnels under a train load are key indicators that influence the safe operation and durability of the entire line. In this study, with consideration of the major factors influencing grade-separated tunnels for high-speed rails, such as train speed, traffic mode, surrounding rock type, between-tunnel height, and crossing angle, a parameterized finite element model is established based on an orthogonal experimental design. In the proposed model, tensile stress (under which any vibration-induced structural damage is caused) is defined as a main evaluation index, and thus the empirical formula for each influencing factor is obtained. When the index was determined under multiple factors and at different levels, rock height between tunnels is found to be the biggest factor influencing the response of grade-separated tunnels to the vibratory load of the trains, followed by train speed, surrounding rock level, and crossing angle. Finally, based on the relevant standards for concrete stress, the zoning of grade-separated tunnels under the vibratory load of trains is established by multiple factors. Such zoning provides important theoretical references for future structural design, maintenance, and reinforcement of grade-separated tunnels for high-speed rails.


Crossing tunnel Orthogonal experimental design (OED) Train loading Vibrating response Influential zone 



The authors acknowledge the financial support provided by National Natural Science Foundation of China (Nos. 51478474, 51508575 and U1134208).


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Weichao Yang
    • 1
    • 2
  • Rongshen Yin
    • 1
  • Mingfeng Lei
    • 1
    Email author
  • E. Deng
    • 1
  • Pingping Zhang
    • 1
  1. 1.School of Civil EngineeringCentral South UniversityChangshaChina
  2. 2.School of Civil EngineeringSouthwest Jiaotong UniversityChengduChina

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