DYNAMICS OF BUILDING-SOIL INTERACTION

DYNAMICS OF BUILDING-SOIL INTERACTION - Printable Version

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DYNAMICS OF BUILDING-SOIL INTERACTION - TAFATNEB - 09-14-2013

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 excita-
tion. 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 earth-
quake 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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