Harichandran, R. S. (1987). "Stochastic analysis of rigid foundation
filtering." Earthquake Engineering and Structural Dynamics, 15(7),
889-899.
Abstract
The effect of the space-time variation of earthquake ground motion on
the translational response of structures supported on large rigid mat
foundations is considered. A stochastic space-time ground motion model,
based on the analysis of recordings from the SMART-1 seismograph array
in Lotung, Taiwan, is used. Random vibration theory is utilized to obtain
an expression for the reduction in the maximum structural response, for
a specified probability level and strong motion duration. Numerical
computations are performed to examine the sensitivity of the reduction
in structural response to various ground motion and structural
parameters. The results indicate that spatial correlation and traveling
wave effects give rise to significant reductions in structural responses
when the seismic waves have low apparent propagation velocities.
Utilization of this result in the design of structures on large
foundations should yield substantial cost savings.