Modal Anlysis of Uplifting Behavior of Buildings Modeled as Uniform Shear-Beam

Abstract eng:
It has been pointed out that buildings during strong earthquakes have been subjected to foundation uplift. The rocking motion accompanied by uplift can reduce the damage of the structures as mentioned in some previous studies. To understand the general properties of transient uplifting behavior of multi-story buildings, studies with simpler model and mathematical expressions are useful. In this paper, dynamic behavior of buildings allowed to uplift is investigated by means of classical modal analysis. The system considered is a uniform shear-beam model on a rigid ground. The equations of motion are derived and eigenproblem is solved to investigate the modal properties during uplift. Initial velocity analysis during the first excursion of uplift is carried out to show the responses of transient rocking motion accompanied by uplift. In addition to the confirmation of significant reduction effect, it is pointed out from the results that the relatively complicated uplift responses at a glance can be recognized as natural consequences of higher modes’ properties and their behaviors.

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