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王鑫, 刘增荣. 基于中厚圆柱壳理论的地铁隧道结构振动特性分析[J]. 岩土工程学报, 2011, 33(5): 762.
引用本文: 王鑫, 刘增荣. 基于中厚圆柱壳理论的地铁隧道结构振动特性分析[J]. 岩土工程学报, 2011, 33(5): 762.
Analysis on Vibration Characteristic of Metro Tunnel Structure based on Moderately Thick Cylindrical Shells Theory[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(5): 762.
Citation: Analysis on Vibration Characteristic of Metro Tunnel Structure based on Moderately Thick Cylindrical Shells Theory[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(5): 762.

基于中厚圆柱壳理论的地铁隧道结构振动特性分析

Analysis on Vibration Characteristic of Metro Tunnel Structure based on Moderately Thick Cylindrical Shells Theory

  • 摘要: 以土介质中的地铁隧道为研究背景,首先利用考虑横向剪切变形的中厚圆柱壳理论建立了隧道结构的振动方程,其次利用均匀、各向同性、线弹性介质的Navier’s波动理论建立了隧道周围土体的运动方程,在此基础上,利用波传播方法,通过接触面连续条件建立了考虑土层-隧道结构动力相互作用的隧道结构振动控制方程,继而利用其频散特征方程,对隧道结构的振动特性进行了分析,并与基于薄壳理论、有限元理论的相应结果进行了对比,验证了方程的有效性,进而就隧道半径、壁厚、长度以及隧道埋深对隧道结构振动特性的影响进行了分析。

     

    Abstract: Taking metro tunnel in soil as research background, at first, according to the theory of moderately thick cylindrical shells considering transverse shear deformation, the vibration equation of tunnel structure was established, secondly, the motion equation of soil around the tunnel was set up with use of Navier’s wave theory of homogeneous, isotropic, linear elastic media, based on these, taking advantage of the wave propagation approach, the vibration control equation of tunnel structure considering soil-structure dynamic interaction was established through the interface continuous conditions, and then, by making use of its dispersion characteristic equation, analysis on vibration characteristic of the tunnel structure was carried out, which validate the effectiveness of the equation gained above by compared with the corresponding results obtained by using the thin shell theory and the finite element method. Furthermore, the influence of radius, wall-thickness, length and buried-depth of the tunnel on the vibration characteristics of the structure were also analyzed.

     

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