Harichandran, R. S., and Wang, W. (1988). "Response of simple beam to
spatially varying earthquake excitation." Journal of Engineering
Mechanics, ASCE, 114(9), 1526-1541.
Abstract
It may be important to consider the effect of the spatial variation of
strong ground motion when determining the dynamic response of spatially
extended structure. In this paper and empirical space-time earthquake
ground motion model us used to characterize the correlation between the
two support motions in a simply supported beam, and the resulting
stochastic response of the beam is analyzed. In addition, the responses
resulting from some commonly used specialized forms of support motion
correlations are also analyzed. A reasonably accurate approximate
technique, which simplifies numerical integrations, is proposed for the
quick evaluation of beam responses.