横观各向同性土——半封闭隧道衬砌相互作用分析
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国家自然科学基金项目(41002112); 浙江省教育厅项目(Z201119560); 浙江省水利厅重点科技项目(20110721003)


Analysis on Interaction of Transversely Isotropic Soil and Lining with a Partially Sealed Tunnel
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    摘要:

    土体在沉积过程中存在各向异性,将土体视为各向异性体更为合理。考虑土体和衬砌的相互作用,基于饱和多孔介质理论和弹性理论,在频率域内研究了简谐荷载作用下横观各向同性土——半封闭圆形隧道衬砌简谐耦合振动。通过衬砌内边界应力连续以及土体和衬砌界面处应力和位移协调,得到了饱和横观各向同性土和衬砌的位移、应力和孔压解析表达式。利用衬砌中流体速度和土体中流体速度相等,建立了隧道部分透水边界条件,得到了待定系数的具体表达式。数值算例分析了土体和衬砌物性和几何参数的影响,表明:横观各向同性面内的弹性模量对系统动力响应影响较大,而垂直于各向同性面内的弹性模量对系统动力响应影响较小。另外,相对渗透系数和衬砌厚度对响应幅值有很大影响,而衬砌泊松比对响应幅值影响较小。

    Abstract:

    The soils have anisotropic properties in the deposition process, so regarding the soil as anisotropy medium is more reasonable. Considering the interaction of the soil and lining, and based on the theory of saturated porous medium and elastic, the harmonic coupled vibrations of the transversely isotropic soil and lining with a partially sealed circular tunnel are investigated subjected to the harmonic load in the frequency domain. The analytical expressions of the displacement, stress and pore water pressure of the transversely isotropic soil and lining are obtained by the stress continuous in the inner boundary of the lining and stress and displacement coordination at the interface of the soil and lining. The boundary conditions for partial permeable of the tunnel are established by the fluid velocity equality at the lining and soil. Then, the specific expressions of undetermined coefficient are given. The influence of material and geometric parameter of the soil and lining are studied by the numerical example, it is shown that the elastic modulus in the transversely isotropic plane has a great influence on the system dynamic responses, while the influence of elastic modulus vertical the transversely isotropic is smaller. In addition, the relative permeable coefficient and the lining thickness have big impacts on the responses amplitude, while the influence of poisson’s ratio of lining is smaller.

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高华喜,闻敏杰.横观各向同性土——半封闭隧道衬砌相互作用分析[J].土木与环境工程学报(中英文),2012,34(Z1):135-139. GAO Huaxi, WEN Minjie. Analysis on Interaction of Transversely Isotropic Soil and Lining with a Partially Sealed Tunnel[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2012,34(Z1):135-139.[doi]

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  • 在线发布日期: 2012-09-13
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