深埋圆形隧洞非饱和土-衬砌结构系统的动力特性

刘洪波1,刘洁 1,闻敏杰2

振动与冲击 ›› 2016, Vol. 35 ›› Issue (13) : 36-41.

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (13) : 36-41.
论文

深埋圆形隧洞非饱和土-衬砌结构系统的动力特性

  • 刘洪波1,刘洁 1,闻敏杰2
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DYNAMIC CHARACTERISTICS OF UNSATURATED SOIL AND LINING SYSTEM WITH A DEEPLY EMBEDDED CIRCULAR TUNNEL

  • LIU Hong-bo1, LIU Jie1,WEN Min-jie2
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文章历史 +

摘要

采用解析方法在频率域内研究了深埋圆形隧洞非饱和土-衬砌结构系统的动力特性。基于Bishop非饱和土有效应力原理和单相流固结理论,建立了单相流条件下非饱和土的运动方程。通过位移势函数解耦,得到了非饱和土在简谐荷载作用下的动力响应解答。将衬砌结构视为均匀弹性介质,基于弹性理论,得到了简谐荷载作用下圆柱形衬砌结构的稳态形式解答。利用土体与衬砌界面的连续性条件和衬砌结构内边界上的边界条件,确定了表达式的待定系数。在此基础上,考察了饱和度、吸力折减系数、衬砌厚度等参数对非饱和土响应幅值的影响。结果表明:随着衬砌厚度的增加,系统响应幅值逐渐减小;饱和度和吸力折减系数对孔隙水压力幅值的影响较大,而对径向位移和环向应力幅值的影响较小。

Abstract

Using an analytical method, the dynamic characteristics of the unsaturated soil and lining system with a deeply embedded circular tunnel are presented in the frequency domain. Based on Bishop’s effective stress principle and one-phase flow consolidation theory, the motion equations of the unsaturated soil subjected to one-phase flow are established. An analytical solution to the dynamic response of the unsaturated soil subjected to harmonic load is obtained by means of the displacement potential function. The lining structure is treated as a homogeneous elastic medium. Based on elastic theory, the steady-state dynamic response of the cylinder lining structure subjected to harmonic load is obtained. By utilizing the inner boundary condition of the lining structure and the continuity conditions between the soil and the lining, the unknown coefficients in the expressions are determined. Basis on this, the effects of saturation, suction reduction coefficient and the lining thickness on the response amplitudes of unsaturated soil are discussed. It is shown that the response amplitudes of the system decrease gradually as the lining thickness increase. The saturation and suction reduction coefficient have a great effect on the amplitudes of the pore water press, while their effects are small on the amplitudes of radial displacement and hoop stress.
Key words:  unsaturated soil; one-phase flow; cylinder lining structure; dynamic characteristics; analytical solution

关键词

非饱和土 / 单相流 / 圆柱形衬砌结构 / 动力特性 / 解析解

Key words

unsaturated soil
/ one-phase flow / cylinder lining structure / dynamic characteristics / analytical solution

引用本文

导出引用
刘洪波1,刘洁 1,闻敏杰2. 深埋圆形隧洞非饱和土-衬砌结构系统的动力特性[J]. 振动与冲击, 2016, 35(13): 36-41
LIU Hong-bo1, LIU Jie1,WEN Min-jie2 . DYNAMIC CHARACTERISTICS OF UNSATURATED SOIL AND LINING SYSTEM WITH A DEEPLY EMBEDDED CIRCULAR TUNNEL[J]. Journal of Vibration and Shock, 2016, 35(13): 36-41

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