The Calculating Model of the Gravity Dam-Reservoir-Foundation Based on the High-Order Transmitting Boundary

The analysis of the system of the gravity dam-reservoir-foundation is calculated using the Scaled Boundary Finite Element Method (SBFEM). The unbounded foundation is modeled by a high-order transmitting boundary based on the continued-fraction solution of the dynamic-stiffness matrix. The coefficient matrices of the continued fraction are evaluated recursively through the scaled boundary finite element equation in dynamic stiffness. The convergence of the high-order transmitting boundary is demonstrated by the numerical examples. Comparisons with the analytical solutions show that the method possesses high accuracy. The results are compared with the mass-less base model. In conclusion, the approach is effective and suitable for the large-scale structure-foundation interaction analysis in frequency domain.