Based on the foundation dynamic impedance calculation formulas of different scholars, the S-R (Swing-Rocking) model was modified combining with the integral finite element method from view of engineering application. The practical simplified calculation method which was suitable for the analysis of soil-structure dynamic interaction of long-span spatial structure was proposed. Then the model of soil-grid structure interaction was established according to the modified S-R model, and the three-dimensional (3-D) finite element model which had been experimental verified was also established as comparison. The study shows the natural vibration properties and seismic response of soil-grid structure interaction presents same regularities and are in agree well with the 3-D model, which verify the rationality of the modified S-R model. The nodal maximum displacement error and peak acceleration error of soil-grid structure interaction are less than 8.0%, and the maximum stress error of members is less than 10% under different seismic waves. All the results indicate the foundation dynamic impedance calculation formulas proposed by Gazetas are more suitable for the analysis of soil-large span spatial structure interaction and have high precision.
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