Base-isolator

3.2. Modeling of base-cut off structure

An analytical model of the superstructure is required, which can adequately simulate the dynamic behavior during the pseudodynamic assay. 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 lowest level 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 simple frequency, mode shape matrix, and modal mass matrix of the fixed-base superstructure. Identification of the modal properties was carried out by stirring the shaking table with banded white noise. At first, the frequency response functions for the horizontal displacements were obtained, then the easy frequencies and the mode shapes were identified thereafter. The results are listed in Table 5.

Table 5. Modal properties of attached base superstructure

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