Transient response of lining structure subjected to sudden internal uniform loading considering effects of coupling mass

Considering the effects of coupling mass, the transient dynamic response of a cylindrical lining structure subjected to sudden internal uniform loading is studied. Based on the Biot’s dynamic theory, the lining structure and saturated soils are respectively treated as the fluid-solid coupling medium and the homogeneous elastic one. A solution to the dynamic response of the lining structure in saturated soils is obtained by means of the Laplace transform and the method of the separation of variables. By utilizing the inner boundary condition of the lining structure and the continuity conditions between the soil and the lining, the unknown coefficients in the expressions are determined. By use of the numerical integration of inverse Laplace transforms, the numerical solution to the problem is presented. On this basis, the dynamic responses of the lining structure in saturated soils are analyzed for different parameters of the soil and the lining. The effects of the coupling mass on the dynamic response of the lining structure are also discussed.