移动环形荷载作用下饱和土中圆形衬砌隧洞动力响应研究

›› 2012, Vol. 33 ›› Issue (3): 892-898.

移动环形荷载作用下饱和土中圆形衬砌隧洞动力响应研究

黄晓吉^{1, 2}，扶名福³，徐斌³

1. 南昌大学建筑工程学院，南昌330031；2. 华东交通大学土木建筑学院，南昌 330013；3. 南昌工程学院土木工程系，南昌 330099

收稿日期:2011-03-07 出版日期:2012-03-10 发布日期:2012-03-12
通讯作者: 徐斌，男，1971年生，博士，副教授，主要从事土体与结构共同作用动力问题研究。E-mail: xmq418@163.com E-mail:xiaojigz163.com
作者简介:黄晓吉，女，1976年生，博士研究生，讲师，主要从事土动力学方面的研究
基金资助:
国家自然科学基金（地区）（No. 50969007/E090702）。

Dynamic response of a circular lining tunnel in saturated soil due to moving ring load

HUANG Xiao-ji^{1, 2}, FU Ming-fu³, XU Bin³

1. School of Civil Engineering and Architecture, Nanchang University, Nanchang 330031, China; 2. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, China; 3. Department of Civil Engineering, Nanchang Institute of Technology, Nanchang 330099, China

Received:2011-03-07 Online:2012-03-10 Published:2012-03-12

摘要/Abstract

摘要： 基于Biot理论，研究了饱和土中带有衬砌的圆形隧洞在移动环形荷载作用下的动力响应。假定衬砌为弹性体，土体为饱和多孔介质，引入两类势函数来表示土体、孔隙水和衬砌的位移，使隧洞的控制方程解耦。结合边界条件及连续条件，通过傅立叶变换得到频率-波数域中衬砌和土体的应力、位移和孔隙水压力解答，最后用傅立叶积分逆变换得到时-空域中的数值解。计算并比较了3种隧洞模型（弹性土体隧洞、饱和土体隧洞和饱和土衬砌隧洞）的动力响应分析。数值分析结果说明：（1）移动荷载速度对3种隧洞动力响应均具有较大影响；（2）弹性土体隧洞和饱和土体隧洞的动力响应具有明显区别，所以在富水地区的隧洞动力响应中土体应该视为饱和土体；（3）衬砌对隧洞动力响应有较大影响，故隧洞的动力分析中不能忽略衬砌作用。

关键词: 移动环形荷载, 衬砌隧洞, 饱和土, 傅立叶变换, 动力响应

Abstract: Based on Biot’s wave theory, dynamic response of a circular lining tunnel in a saturated poroelastic soil due to a moving ring load is investigated. The liner is modeled as an elastic body and the soil is modeled as saturated porous medium. In order to uncoupling governing equations, two scalar potentials are introduced to represent the displacement for the solid skeleton, the pore fluid and the linner. According to boundary condition and continuity condition, the analytical solutions of dynamic response, such as stress, displacement and water pressure, are derived in frequency and wave-number domain by using Fourier transformation. Numerical results are obtained by inverse Fourier transformation. To compare the results, dynamic response of three tunnel models (tunnel in elasticity, tunnel in saturated soil and lining tunnel in saturated soil) is calculated. The results of numerical example show: (1) the velocity of the moving load greatly influences dynamic response of three tunnel models; (2) large difference between the tunnel in elasticity and tunnel in saturated soil, so the soil near the tunnel should be modeled as saturated porous medium in abundant water field; (3)the influence of the liner on the dynamic response of the tunnel is remarkable; so the liner effect must be considered in the dynamic analysis of the tunnel.

Key words: moving ring load, lining tunnel, saturated soil, Fourier transformation, dynamic response

中图分类号:

TV 554

黄晓吉，扶名福，徐斌. 移动环形荷载作用下饱和土中圆形衬砌隧洞动力响应研究[J]. , 2012, 33(3): 892-898.

HUANG Xiao-ji , FU Ming-fu , XU Bin. Dynamic response of a circular lining tunnel in saturated soil due to moving ring load[J]. , 2012, 33(3): 892-898.

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