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Dynamics of building-soil interaction

Jennings, Paul C. and Bielak, Jacobo (1973) Dynamics of building-soil interaction. Bulletin of the Seismological Society of America, 63 (1). pp. 9-48. ISSN 0037-1106.

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In this study of the dynamics of building-soil interaction, the soil is modeled by a linear elastic half-space, and the building structure by an n-degree-of-freedom oscillator. Both earthquake response and steady-state response to sinusoidal excitation are examined. By assuming that the interaction system possesses n+2 significant resonant frequencies, the response of the system is reduced to the superposition of the responses of damped linear oscillators subjected to modified excitations. The results are valid even though the interaction systems do not possess classical normal modes. For the special cases of single-story systems and the first modes of n-story systems, simplified approximate formulas are developed for the modified natural frequency and damping ratio and for the modified excitation. Example calculations are carried out by the approximate and more exact analysis for one-story, two-story and ten-story interaction systems. The results show that interaction tends to decrease all resonant frequencies, but that the effects are often significant only for the fundamental mode for many n-story structures and are more pronounced for rocking than for translation. If the fixed-base structure has damping, the effects of interaction on the earthquake responses are not always conservative, and an increase or decrease in the response can occur, depending on the parameters of the system.

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Additional Information:Copyright © 1973, by the Seismological Society of America. Manuscript received April 6, 1972. A large part of the results presented in this paper are from the second author's recent Doctoral Thesis (Bielak, 1971). The financial support of the National Science Foundation during the thesis work is gratefully acknowledged.
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ID Code:48377
Deposited By: George Porter
Deposited On:13 Aug 2014 15:09
Last Modified:13 Aug 2021 19:04

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