A layered Timoshenko beam (TB) model of a high-rise building is presented and applied to system identification of a
full-scale building from recorded seismic response. This model is a new development in a wave method for earthquake
damage detection and structural health monitoring being developed by the authors’ research group. The method is based
on monitoring changes in the wave properties of the structure, such as the velocity of wave propagation vertically
through the structure. This model is an improvement over the previously used layered shear beam (SB) model because it
accounts for wave dispersion caused by flexural deformation present in addition to shear. It also accounts for the rotatory
inertia and the variation of the building properties with height. The case study is a 54-story steel frame building located
in downtown Los Angeles. Recorded accelerations during the Northridge earthquake of 1994 are used for system
identification of the NS response. The model parameters are identified by matching, in the least squares sense, the model
and observed impulse response functions at all levels where motion was recorded. The model is then used to compute
the building vertical phase and group velocities. Impulse responses computed by deconvolution of the recorded motions
with the roof response are used, which represent the building response to a virtual source at the roof. The better match of
transfer-function amplitudes of the fitted TB model than of previously fitted SB model indicates that the layered TB
model is a better physical model for this building.
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