In this paper, the Ibrahim Time Domain technique is employed to calculate the modal frequencies and damping ratios of torsionally-coupled buildings based only on partial free vibration response measurements. To obtain the complete mode shapes, an interpolation method is developed to calculate the mode shape value for the locations without measurement. All mode shapes obtained are mutually orthogonal. The structural seismic responses are also estimated. Numerical results show that the proposed method is able to identify structural dominant modal parameters accurately even with highly coupled modes and noise contaminations. Small number of response measurements (no need of input measurement) and simple on-line calculation make the proposed method favorable to real implementation.

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