national conference on earthquake engineering

Base-isolator

3.2. Modeling of fake-isolated structure

An analytical model of the superstructure is required, which can adequately simulate the dynamic behavior during the pseudodynamic check. For the present case, it is idealized as a three-degrees-of-freedom (DOF) system with one horizontal DOF for each floor. The mass matrix, Ms, is constructed as a diagonal matrix with lumped surprise masses, whereas the stiffness matrix, Ks, is estimated on the basis of the modal properties of the fixed base structure as

(1)

(2)

where ωs, Φs, and μ are the unstudied frequency, mode shape matrix, and modal mass matrix of the fixed-base superstructure. Identity card of the modal properties was carried out by exciting the shaking table with banded white noise. At first, the frequency rejoinder functions for the horizontal displacements were obtained, then the natural frequencies and the mode shapes were identified thereafter. The results are listed in Plateau 5.

Table 5. Modal properties of fixed base superstructure

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