Dynamic Response of a Period Viaduct In-plane Vibration Under Spatially Non-uniform Seismic Wave

Abstract

KEYWORD: Floquet transform method; viaduct; period structure; energy bands; non-uniform seismic wave ABSTRACT: By using the Floquet transform method and based on the periodic structure's theory, a theoretical model has been developed to determine the dynamic response of the periodic viaduct ac- counted for the non-uniform seismic excitations at different piers of the viaduct in this study. Numer- ical results show that there are three kinds of characteristic waves propagating in the periodic viaduct for the in-plane vibrations of the viaduct. The first kind of wave is a highly decaying wave; the second kind of wave can only propagate at a very narrow frequency range; the third kind of wave may propagate in pass bands with small attenuation. Moreover, when the periodic viaduct is sub- jected to passband seismic waves, the disturbance will propagate over a very long distance and the mode as well as attenuation of the wave motion far from the source is determined by the characteris- tic wave with the smallest attenuation. When the periodic viaduct is subjected to stopband seismic waves, the disturbance will restricted to the forced vibration region.