The effect of damping on dynamic response of underground tunnel structures

XU Ying-qian; QI Cheng-zhi; SA Man

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The effect of damping on dynamic response of underground tunnel structures

更新时间：2026-06-25

- The effect of damping on dynamic response of underground tunnel structures
- Vol. 33, Issue S2, (2012)
- 作者机构：
  
  北京建筑工程学院北京市高校工程结构与新材料工程研究中心,北京,100044
- 作者简介：
- 基金信息：
- DOI：
  CLC： U45
- Online First：11 December 2012，
  
  Published：2012
- 稿件说明：
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XU Ying-qian, QI Cheng-zhi, SA Man. The effect of damping on dynamic response of underground tunnel structures[J]. 2012, 33(S2).
DOI：

XU Ying-qian, QI Cheng-zhi, SA Man. The effect of damping on dynamic response of underground tunnel structures[J]. 2012, 33(S2). DOI：

摘要

用弹性地基梁来模拟地下隧道结构，推出考虑弯曲、轴力、剪切、内外阻尼以及在双参数地基模型上的振动方程。引用地下管道近似的位移计算方法，计算地下隧道结构，避免积分变换的繁琐，通过一种特殊的分离变量法，使得动力荷载以强加位移和速度的方式施加，实例计算中涉及内外阻尼项，可以方便地求出自振频率和阻尼比的表达式和考虑阻尼后结构位移衰减曲线，得出对于地下结构内阻尼的影响很小的结论。

Abstract

The beam on elastic foundation model is used to simulate the underground tunnels structures; a vibration equation on two-parameter foundation considering the bending moment

axial force

shear deformation

external and internal damping is obtained. An approximate method for calculating of displacement of underground pipes is used to compute the displacement of underground tunnels structures

avoiding the trouble of integral transform. In numerical example involving the damping. it is convenient to use a special separated variable method to obtain natural frequencies and damping ratio

the attenuation of displacement considering damping. It is concluded that for underground structures

the effect of internal damping can be neglected.

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