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Lateral structure-foundation interaction of structures with base masses

DEPARTMENT OF MECHANICAL ENGINEERING RENSSELAER POLYTECHNIC INSTITUTE HARTFORD GRADUATE CENTER, EAST WINDSOR HILL, CONNECTICUT 06028
DEPARTMENT OF MECHANICAL ENGINEERING THE UNIVERSITY OF TOLEDO, TOLEDO, OHIO 43606
DEPARTMENT OF MATHEMATICS THE UNIVERSITY OF TOLEDO, TOLEDO, OHIO 43606

Abstract

The interaction of lateral inertia forces of an N-mass structure with a base mass and lateral seismic motion of the foundation is formulated as an integral equation of the Volterra type. Flexibility of the foundation is based on the transient solution of a two-dimensional elastic half-space. Interaction effects are evaluated by comparing the response spectra of the free-field motion to that of the foundation motion. Results show that changes in the response spectra are significant for heavy, stiff structures such as a reactor-containment vessel.