Abstract

The author extends the previously proposed combined asymptotic method (CAM) of seismic SSI analysis for the multi‐support systems and applies it to the transportation portal as a double‐support system (together with the reactor building). The key issue is the development of the structural dynamic stiffness matrix condensed to the supports by the modal approach. Then the condensed structural matrix is combined with the soil dynamic stiffness matrix also condensed to the rigid basements. As a result, a very simple linear system 12∗12 is solved in the frequency domain. This gives the transfer functions from the free‐field motion to the motion of the basements. The only important limitations are the linearity of the soil’s and structure’s properties and the rigidity of the basements. The results for the sample system are checked against the full SASSI solution. The results can be used to justify the further simplification of the system.

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