Abstract

3D numerical model for dynamic response analysis of multi-storey frame structures including soil-structure interaction has been developed using the Spectral Element Method (SEM). The structure was modeled using the SEM, while the dynamic stiffness matrix of the soil – foundation interface was determined using the Integral Transform Method (ITM). The structure consists of one – dimensional elements: beams and columns, and two – dimensional elements: plates. The soil consists of horizontal layers over the bedrock or half space. The Projection method was used to develop the dynamic stiffness matrices for the transverse and in-plane vibration of plates with arbitrary boundary conditions. The method for coupling one-dimensional and two-dimensional spectral elements was developed, as well as the coupling of the spectral elements with the soil spring – dashpot elements. Using the proposed numerical model 3D frame structures founded on soil of variable stiffness and subjected to ground vibrations induced by traffic were analyzed.