Touraj Taghikhany - Assistant Professor, Civil Engineering, Amirkabir University of Technology, Tehran,
Mohammad Hasan Tajik - MSc Student, Civil Engineering, Amirkabir University of Technology, Tehran

Two separate time domain methods are presented for the extraction of mass and stiffness matrices from Four-story building of IASC-ASCE Structural Health Monitoring Benchmark. In first meth-od, the equivalent state-space matrices are obtained by Eigensystem Realization Algorithm (ERA) from the measured input and output data. In spite high nonlinearity of the inverse problem, this method consists of two sets of linear equations; find a transformation matrix that converts the identified state-space model in any arbitrary coordinates to physical one, and then derive the sys-tem physical parameters from the state-space model in physical coordinates. The second is con-tinuous-time Markov method based on the invariance parameters. An explicit expression of the relationship is constructed between the continuous-time Markov parameters, the structural system matrices, and the influence matrices for output combined measurements of displacement, velocity and acceleration (DVA) together with the input excitations as well as the input force. The ob-tained structural system matrices are validated by measured displacement, velocity and accelera-tion responses.

Structural Health Monitoring (SHM), Eigensystem Realization Algorithm (ERA), Structural System Matrices, Physical Coordinates, IASC-ASCE Benchmark