On the Earthquake Input Model with Multiple Support Excitations

Abstract eng:
The paper discusses the earthquake input model with multiple support excitations and its apparent discrepancy with the earthquake input model with uniform ground motion. When the excitations at the multiple supports of a structure are identical, both models agree with each other exactly when expressed in absolute displacement form despite their superfluous inconsistency. The key factors are embedded in the partitioned stiffness and damping matrices, in which the superstructure related terms can be mapped to the support related terms. Therefore, the effective earthquake forces in both models can be derived to be equivalent and the apparent discrepancy existing in both models is resolved. Furthermore, the earthquake force transferring mechanism from the foundation to the upper structure is exposed in details.

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