Discrete Impedance Matrix for Flexible Surface Foundations

Abstract eng:
Knowledge on the subject of dynamic soil-structure interaction (SSI) has been derived mainly from studies on rigid foundations. The seismic response of structures resting on flexible foundations has received considerably less attention and the results of these efforts have not yet lead to established computational procedures of general acceptance, such as those developed for structures resting on rigid foundations (ATC-3, NEHRP-03, IBC, EC-8). In this paper, a rigorous computational procedure for the analysis of soil-flexible foundation– structure interaction is developed based on the finite element method. Thus, a full model of the soil-flexible foundation system is constructed and the discrete (in space), frequency dependent, impedance matrix of the system is obtained. To this end the special purpose finite element program ACS SASSI is utilized taking into consideration the infinite extent of the soil medium. A simplified, under certain conditions, frequency independent impedance matrix is also presented. The above impedance matrices are used in a straightforward manner for the dynamic/seismic analysis of structures resting on flexible mat foundations in frequency domain.

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