Frequency Domain Response Analysis Of Saturated Soil Tunnel

After the excavation of tunnel will inevitably produce the disturbance of soil around the tunnel, so the deformation caused by tunnel.If not handled properly, may cause the tunnel large settlement, tilting or even collapse, it will cause casualties.In order to ensure the safety of tunnel,lining material used for supporting. Therefore, the frequency characteristics of the interaction process of the soil and the lining is of great significance in.This paper studies the two kinds of physical model of the frequency response of saturated soil-lining coupled system in circle tunnel,including linear elasticity saturated soil-lining coupled system and linear viscoelastic saturated soil-lining coupled system.Analysing of the frequency characteristics of saturated soil tunnel, to provide the necessary theoretical basis and reference data for the design and of tunnel.In the linear elasticity saturated soil-lining coupled system,Firstly, based on the theory of elasticity and porous media theory, the governing equations in frequency domain tunnel coupling system are established, the corresponding boundary conditions of the coupled system, as well as the joint conditions of the saturated soil and the lining on the surface are presented. Then, the differential quadrature element method is developed, and the differential quadrature element method to discretize the governing differential equations of the coupled system on the frequency domains,respectively, the Newton-Raphson method is adopted to solve the discretization equations.Finally, the transient frequency responses of the coupled system are analyzed, the effects of the pressure, volume fraction of solid phase and frequency are considered, and the validity of the numerical method is verified.In the linear viscoelastic saturated soil-lining coupled system,based on the theory of viscoelastic and porous media theory,the governing equations, the corresponding boundary conditions, as well as the joint conditions are presented. The saturated soil and the lining materials are viscoelastic materials.Then, using the differential quadrature element method and Newton-Raphson iteration method the development of numerical solution of the coupled system. Analysis of the frequency response of the coupled system, the frequency, the material properties and the permeability rate influence on the coupling system are considered.Analysis from the the results of the study,In this paper,utilization anddevelopment the differential quadrature element method is a kind of less calculation,high precision, easy programming through computer numerical simulation method,the fewer node can get good result. At the same time, the mathematical model and numerical simulation method used in this paper can be widely applied to the similar engineering problems, provide necessary analysis means for engineering design.