Seismic soil-structure interaction analysis using an effective scaled boundary spectral element approach

In this paper, an effective scaled boundary spectral element method is used to analyze seismic soil-structure interaction (SSSI) problems. Coefficient matrices are lumped by using Gauss-Lobatto-Legendre (GLL) quadrature and Lagrange interpolation functions. Required storage space of the computers can be reduced by using lumped coefficient matrices. In addition, a recursive algorithm is adapted to reduce computational effort of the seismic soilstructure interaction analysis. Adapted recursive algorithm can reduce computational effort of the original scaled boundary method (SBM) about 90%. Efficiency of the proposed method is displayed by solving some numerical examples. It is shown that accuracy of the semi local SBM depends on the selected cut off time step.