半封闭圆柱形衬砌结构振动响应的解析解-《郑州大学学报(工学版)》

文章信息/Info

Title:: Analytical Solution for Dynamic Responses of a Cylindrical Lining with Partial Sealing

Author(s):: Chen Xueli; Wen Minjie; Zhang Bin; 1.Jiaxing Vocational and Technical Collcge, jiaxing 314036, China;2. Shanghai Munieipal Electric Power Company, Shanghai200122,China

Keywords:: partial sealed lining structure; saturated viscoelastie soil; dynamic response; analytical solution; parareters study

摘要:: 假定衬砌和土骨架都为Kelvin-Voigt黏弹性体,在频率域内采用解析方法研究了轴对称荷载和流体压力作用下圆柱形半封闭衬砌结构稳态振动问题.利用Biot理论和平面黏弹性理论分别模拟饱和土体和衬砌结构,通过引入位移势函数,得到了隧洞边界部分透水条件下饱和黏弹性土和衬砌结构动力相互作用的解析解.利用衬砌结构内边界及土体与衬砌结构界面处的连续性条件,确定衬砌和土体位移、应力和孔压表达式的待定系数.在此基础上,分析了渗透系数、流体压缩性系数及衬砌的黏性阻尼系数对饱和土和衬砌结构动力响应的影响,并与已有的解析结果进行了对比.

Abstract:: Assuming that the lining and the soil skeleton are a viscoelastic medium with Kelvin - Voigt modelthe problem of steady state responses of a cylindrical lining struclure with parial sealing subjected to asymmetric radial loading and fuid pressure is investigated using an analytical method in the frequency domain. TheBiot’’s theory and viscoelastic theory are used to describe the saturated soil and lining struclure, respectively.The analytical solutions for the dynamic interaction af saturated viscoleastic soil and lining structure are ob.tained with help of potential functions under partial permeable conditions of the tunnel’s boundary, By utili-.zing, the inner boundary condition of the lining structure and the continuity conditions between the soil and thelining, the unknown coefficients in the expressions of displacement, stress and pore water pressure are deter.mined. On this basis, the influences of the coefhcients of permeable and fluid compressibility, viscous damp.ing coefficient of lining on dynamic responses of the soil and lining are analyzed. A comparative analysis be.tween the results of this paper and existing ones is carried out.