论文部分内容阅读
在频率域内采用解析方法研究了考虑质量耦合效应的饱和黏弹性地基土中圆柱形衬砌结构的振动响应问题。首先,将土骨架视为具有Kelvin-Voigt本构的黏弹性体,利用Biot波动方程模拟饱和黏弹土体,通过引入位移势函数,得到了简谐荷载作用下饱和黏弹性地基土的位移、应力和孔隙水压力的解析表达式。其次,将衬砌等效为黏弹性体,根据黏弹性理论,推导得到了圆柱形衬砌结构的振动响应解答。再次,通过衬砌内边界上的边界条件以及衬砌和土体界面处位移和应力连续性条件,确定了待定系数的表达式。最后,讨论了饱和土和衬砌各参数对衬砌结构振动响应的影响,并与单相黏弹性土进行了对比。数值分析结果表明:耦合质量项不能忽略;土骨架的黏滞阻尼系数对衬砌振动响应较大影响,而衬砌的阻尼系数影响较小。流固相互作用系数对衬砌结构的振动响应的影响与边界孔隙水的渗透性有关。
In the frequency domain, the analytical solution was used to study the vibration response of cylindrical lining in saturated viscoelastic soil considering the mass coupling effect. Firstly, the soil skeleton is regarded as a viscoelastic body with Kelvin-Voigt’s constitutive model. The Biot’s wave equation is used to simulate the saturated viscoelastic body. By introducing the displacement potential function, the displacement of the saturated viscoelastic soil under simple harmonic loading is obtained. Analytical expression of stress and pore water pressure. Secondly, the lining is equivalent to a viscoelastic body. Based on the viscoelastic theory, the vibration response of the cylindrical lining structure is derived. Thirdly, the expression of undetermined coefficients is determined by the boundary conditions on the lining inner boundary and the displacement and stress continuity conditions at the lining and soil interface. Finally, the influence of the parameters of saturated soil and lining on the vibration response of lining structure is discussed and compared with single-phase viscoelastic soil. Numerical analysis results show that the coupling mass can not be neglected. The viscous damping coefficient of soil skeleton greatly affects the vibration response of lining, while the damping coefficient of lining has little effect. The influence of fluid-solid interaction coefficient on the vibration response of lining structure is related to the permeability of boundary pore water.