Response of base‐isolated buildings to random excitations described by the Clough‐Penzien spectral model

Abstract

The stationary response of base‐isolated buildings subjected to earthquake excitation is studied. The frequency content of earthquake input is described by the Clough‐Penzien spectral model. The response parameters of interest are (1) the root‐mean‐square (RMS) displacement σ_x of the basement relative to the foundation (i.e. shear deformation of the isolation system) and (2) the ratio (σ_a/σ_a0) of the RMS value of the absolute acceleration at the roof of the isolated structure over the corresponding value when the isolation system is locked. The variation of these response parameters with the effective frequency f₀ of the base‐isolated structure is investigated. As input, earthquakes with moment magnitudes M = 7‐3 and M = 6‐0 are considered. The acceleration spectra corresponding to these two earthquake sizes have pronouncedly different frequency content over the frequency range 0–1‐1–0 Hz which is of primary importance for base‐isolated structures. An important conclusion that comes from these analyses is that confidence in the effectiveness of a base‐isolated system should be based primarily on its capacity to absorb/dissipate energy and less on its influence in shifting the fundamental period of the structure out of the range of dominant earthquake energy.